-
1
-
-
0000110392
-
An implementation of Karmarkar's algorithm for linear programming
-
I. Adler, M.G.C. Resende, and G. Veiga. An implementation of Karmarkar's algorithm for linear programming. Math. Programming, 44:297-335, 1989.
-
(1989)
Math. Programming
, vol.44
, pp. 297-335
-
-
Adler, I.1
Resende, M.G.C.2
Veiga, G.3
-
2
-
-
77957214026
-
Descent property and global convergence of the Fletcher-Reeves methods with inexact line search
-
M. Al-Baali. Descent property and global convergence of the Fletcher-Reeves methods with inexact line search. IMA Journal of Numerical Analysis, 5:121-124, 1985.
-
(1985)
IMA Journal of Numerical Analysis
, vol.5
, pp. 121-124
-
-
Al-Baali, M.1
-
3
-
-
0001201545
-
The Lagrange-Newton method for infinite-dimensional optimization problems
-
W. Alt. The Lagrange-Newton method for infinite-dimensional optimization problems. Numerical Functional Analysis and Optimization, 11:201-224, 1990.
-
(1990)
Numerical Functional Analysis and Optimization
, vol.11
, pp. 201-224
-
-
Alt, W.1
-
4
-
-
0042761998
-
Sequential quadratic programming in Banach spaces
-
W. Oettli and D. Pallaschke, editors, number 382 in Lecture Notes in Economics and Mathematical Systems, Springer-Verlag
-
W. Alt. Sequential quadratic programming in Banach spaces. In W. Oettli and D. Pallaschke, editors, Advances in Optimization, number 382 in Lecture Notes in Economics and Mathematical Systems, pages 281-301. Springer- Verlag, 1992.
-
(1992)
Advances in Optimization
, pp. 281-301
-
-
Alt, W.1
-
5
-
-
85006813977
-
Semi-local convergence of the Lagrange-Newton method with application to optimal control
-
R. Durier and Ch. Michelot, editors, number 429 in Lecture Notes in Economics and Mathematical Systems, Springer-Verlag
-
W. Alt. Semi-local convergence of the Lagrange-Newton method with application to optimal control. In R. Durier and Ch. Michelot, editors, Recent Developments in Optimization, number 429 in Lecture Notes in Economics and Mathematical Systems, pages 1-16. Springer-Verlag, 1995.
-
(1995)
Recent Developments in Optimization
, pp. 1-16
-
-
Alt, W.1
-
7
-
-
0034345435
-
Degenerate nonlinear programming with a quadratic growth condition
-
M. Anitescu. Degenerate nonlinear programming with a quadratic growth condition. SIAM Journal on Optimization, 10:1116-1135, 2000.
-
(2000)
SIAM Journal on Optimization
, vol.10
, pp. 1116-1135
-
-
Anitescu, M.1
-
8
-
-
4043080052
-
On the rate of convergence of sequential quadratic programming with nondifferentiable exact penalty function in the presence of constraint degeneracy
-
M. Anitescu. On the rate of convergence of sequential quadratic programming with nondifferentiable exact penalty function in the presence of constraint degeneracy. Mathematical Programming, 92:359-386, 2002.
-
(2002)
Mathematical Programming
, vol.92
, pp. 359-386
-
-
Anitescu, M.1
-
9
-
-
0034549140
-
A note on the augmented Hessian when the reduced Hessian is semidefinite
-
K.M. Anstreicher and M.H. Wright. A note on the augmented Hessian when the reduced Hessian is semidefinite. SIAM Journal on Optimization, 11:243-253, 2000.
-
(2000)
SIAM Journal on Optimization
, vol.11
, pp. 243-253
-
-
Anstreicher, K.M.1
Wright, M.H.2
-
10
-
-
0034226289
-
A piecewise line-search technique for maintaining the positive definiteness of the updated matrices in the SQP method
-
P. Armand and J.Ch. Gilbert. A piecewise line-search technique for maintaining the positive definiteness of the updated matrices in the SQP method. Computational Optimization and Applications, 16:121-158, 2000.
-
(2000)
Computational Optimization and Applications
, vol.16
, pp. 121-158
-
-
Armand, P.1
Ch. Gilbert, J.2
-
11
-
-
0141552712
-
A BFGS-IP algorithm for solving strongly convex optimization problems with feasibility enforced by an exact penalty approach
-
P. Armand, J.Ch. Gilbert, and S. Jan-Jégou. A BFGS-IP algorithm for solving strongly convex optimization problems with feasibility enforced by an exact penalty approach. Mathematical Programming, 92:393-424, 2002.
-
(2002)
Mathematical Programming
, vol.92
, pp. 393-424
-
-
Armand, P.1
Ch. Gilbert, J.2
Jan-Jégou, S.3
-
12
-
-
84966275544
-
Minimization of functions having Lipschitz continuous first partial derivatives
-
L. Armijo. Minimization of functions having Lipschitz continuous first partial derivatives. Pacific Journal of Mathematics, 16:1-3, 1966.
-
(1966)
Pacific Journal of Mathematics
, vol.16
, pp. 1-3
-
-
Armijo, L.1
-
13
-
-
0003741410
-
-
Stanford University Press, Stanford, CA
-
K. Arrow, L. Hurwicz, and H. Uzawa. Studies in Nonlinear Programming. Stanford University Press, Stanford, CA, 1958.
-
(1958)
Studies in Nonlinear Programming
-
-
Arrow, K.1
Hurwicz, L.2
Uzawa, H.3
-
14
-
-
0039330317
-
Gradient methods for constrained maxima with weakened assumptions
-
K.J. Arrow, L. Hurwicz, and H. Uzawa, University Press, Standford, Calif.
-
K.J. Arrow and R.M. Solow. Gradient methods for constrained maxima with weakened assumptions. In K.J. Arrow, L. Hurwicz, and H. Uzawa, editors, Studies in Linear and Nonlinear Programming. Stanford University Press, Standford, Calif., 1958.
-
(1958)
Editors, Studies in Linear and Nonlinear Programming. Stanford
-
-
Arrow, K.J.1
Solow, R.M.2
-
15
-
-
0020702681
-
Numerical methods for nondifferentiable convex optimization
-
A. Auslender. Numerical methods for nondifferentiable convex optimization. Mathematical Programming Study, 30:102-126, 1987.
-
(1987)
Mathematical Programming Study
, vol.30
, pp. 102-126
-
-
Auslender, A.1
-
16
-
-
0034345443
-
Lagrangian duality and related multiplier methods for variational inequality problems
-
A. Auslender and M. Teboulle. Lagrangian duality and related multiplier methods for variational inequality problems. SIAM Journal on Optimization, 10:1097-1115, 2000.
-
(2000)
SIAM Journal on Optimization
, vol.10
, pp. 1097-1115
-
-
Auslender, A.1
Teboulle, M.2
-
17
-
-
0033358882
-
Interior proximal and multiplier methods based on second order homogeneous functionals
-
A. Auslender, M. Teboulle, and S. Ben-Tiba. Interior proximal and multiplier methods based on second order homogeneous functionals. Mathematics of Operations Research, 24:645-668, 1999.
-
(1999)
Mathematics of Operations Research
, vol.24
, pp. 645-668
-
-
Auslender, A.1
Teboulle, M.2
Ben-Tiba, S.3
-
18
-
-
34247482310
-
Proximal-ACCPM: A versatile oracle based optimization method
-
To appear
-
F. Babonneau, C. Beltran, A. Haurie, C. Tadonki, and J.-P. Vial. Proximal-ACCPM: a versatile oracle based optimization method. To appear in Computational Management Science, 2006.
-
(2006)
Computational Management Science
-
-
Babonneau, F.1
Beltran, C.2
Haurie, A.3
Tadonki, C.4
Vial, J.-P.5
-
19
-
-
0035546519
-
Bundle methods in stochastic optimal power management: A disaggregated approach using preconditioners
-
L. Bacaud, C. Lemaréchal, A. Renaud, and C. Sagastizábal. Bundle methods in stochastic optimal power management: a disaggregated approach using preconditioners. Computational Optimization and Applications, 20(3):227-244, 2001.
-
(2001)
Computational Optimization and Applications
, vol.20
, Issue.3
, pp. 227-244
-
-
Bacaud, L.1
Lemaréchal, C.2
Renaud, A.3
Sagastizábal, C.4
-
20
-
-
34249955392
-
A class of iterative methods for solving saddle point problems
-
R.E. Bank, B.D. Welfert, and H. Yserentant. A class of iterative methods for solving saddle point problems. Numerische Mathematik, 56:645-666, 1990.
-
(1990)
Numerische Mathematik
, vol.56
, pp. 645-666
-
-
Bank, R.E.1
Welfert, B.D.2
Yserentant, H.3
-
21
-
-
0347126402
-
Bundle relaxation and primal recovery in Unit Commitment problems
-
A. Belloni, A. Diniz, M.E. Maceira, and C. Sagastizábal. Bundle relaxation and primal recovery in Unit Commitment problems. The Brazilian case. Annals of Operations Research, 120:21-44, 2003.
-
(2003)
The Brazilian Case. Annals of Operations Research
, vol.120
, pp. 21-44
-
-
Belloni, A.1
Diniz, A.2
Maceira, M.E.3
Sagastizábal, C.4
-
22
-
-
28244479934
-
Dynamic bundle methods: Application to combinatorial optimization
-
A. Belloni and C. Sagastizábal. Dynamic bundle methods: Application to combinatorial optimization. Technical report, Optimization on line, 2004. http://www.optimization-online.org/DB-HTML/2004/08/925.html.
-
(2004)
Technical Report Optimization on Line
-
-
Belloni, A.1
Sagastizábal, C.2
-
23
-
-
0347242385
-
Lectures on modern convex optimization -analysis, algorithms, and engineering applications
-
SIAM
-
A. Ben-Tal and A. Nemirovski. Lectures on Modern Convex Optimization -Analysis, Algorithms, and Engineering Applications. MPS/SIAM Series on Optimization 2. SIAM, 2001.
-
(2001)
MPS/SIAM Series on Optimization
, vol.2
-
-
Ben-Tal, A.1
Nemirovski, A.2
-
24
-
-
0001151403
-
An algorithm to compute a sparse basis of the null space
-
M.W. Berry, M.T. Health, I. Kaneko, M. Lawo, R.J. Plemmons, and R.C. Ward. An algorithm to compute a sparse basis of the null space. Numerische Mathematik, 47:483-504, 1985.
-
(1985)
Numerische Mathematik
, vol.47
, pp. 483-504
-
-
Berry, M.W.1
Health, M.T.2
Kaneko, I.3
Lawo, M.4
Plemmons, R.J.5
Ward, R.C.6
-
25
-
-
0001194769
-
Multiplier methods: A survey
-
D.P. Bertsekas. Multiplier methods: a survey. Automatica, 12:133-145, 1976.
-
(1976)
Automatica
, vol.12
, pp. 133-145
-
-
Bertsekas, D.P.1
-
30
-
-
0001644886
-
A reduced Hessian method for largescale constrained optimization
-
L.T. Biegler, J. Nocedal, and C. Schmid. A reduced Hessian method for largescale constrained optimization. SIAM Journal on Optimization, 5:314-347,1995.
-
(1995)
SIAM Journal on Optimization
, vol.5
, pp. 314-347
-
-
Biegler, L.T.1
Nocedal, J.2
Schmid, C.3
-
31
-
-
0033412823
-
A global convergence analysis of an algorithm for large-scale nonlinear optimization problems
-
P.T. Boggs, A.J. Kearsley, and J.W. Tolle. A global convergence analysis of an algorithm for large-scale nonlinear optimization problems. SIAM Journal on Optimization, 9:833-862, 1999.
-
(1999)
SIAM Journal on Optimization
, vol.9
, pp. 833-862
-
-
Boggs, P.T.1
Kearsley, A.J.2
Tolle, J.W.3
-
32
-
-
0033417486
-
A practical algorithm for general large scale nonlinear optimization problems
-
P.T. Boggs, A.J. Kearsley, and J.W. Tolle. A practical algorithm for general large scale nonlinear optimization problems. SIAM Journal on Optimization, 9:755-778, 1999.
-
(1999)
SIAM Journal on Optimization
, vol.9
, pp. 755-778
-
-
Boggs, P.T.1
Kearsley, A.J.2
Tolle, J.W.3
-
33
-
-
0021559752
-
A family of descent functions for constrained optimization
-
P.T. Boggs and J.W. Tolle. A family of descent functions for constrained optimization. SIAM Journal on Numerical Analysis, 21:1146-1161, 1984.
-
(1984)
SIAM Journal on Numerical Analysis
, vol.21
, pp. 1146-1161
-
-
Boggs, P.T.1
Tolle, J.W.2
-
34
-
-
0039661015
-
A strategy for global convergence in a sequential quadratic programming algorithm
-
P.T. Boggs and J.W. Tolle. A strategy for global convergence in a sequential quadratic programming algorithm. SIAM Journal on Numerical Analysis, 26:600-623, 1989.
-
(1989)
SIAM Journal on Numerical Analysis
, vol.26
, pp. 600-623
-
-
Boggs, P.T.1
Tolle, J.W.2
-
35
-
-
44649149897
-
Sequential quadratic programming
-
Cambridge University Press
-
P.T. Boggs and J.W. Tolle. Sequential quadratic programming. In Acta Numerica 1995, pages 1-51. Cambridge University Press, 1995.
-
(1995)
Acta Numerica 1995
, pp. 1-51
-
-
Boggs, P.T.1
Tolle, J.W.2
-
36
-
-
0020099933
-
On the local convergence of quasi- Newton methods for constrained optimization
-
P.T. Boggs, J.W. Tolle, and P. Wang. On the local convergence of quasi- Newton methods for constrained optimization. SIAM Journal on Control and Optimization, 20:161-171, 1982.
-
(1982)
SIAM Journal on Control and Optimization
, vol.20
, pp. 161-171
-
-
Boggs, P.T.1
Tolle, J.W.2
Wang, P.3
-
37
-
-
0024664820
-
Asymptotic admissibility of the unit stepsize in exact penalty methods
-
J.F. Bonnans. Asymptotic admissibility of the unit stepsize in exact penalty methods. SIAM Journal on Control and Optimization, 27:631-641, 1989.
-
(1989)
SIAM Journal on Control and Optimization
, vol.27
, pp. 631-641
-
-
Bonnans, J.F.1
-
38
-
-
0002204849
-
Local study of Newton type algorithms for constrained problems
-
S. Dolecki, editor, number 1405 in Lecture Notes in Mathematics, Springer-Verlag
-
J.F. Bonnans. Local study of Newton type algorithms for constrained problems. In S. Dolecki, editor, Optimization, number 1405 in Lecture Notes in Mathematics, pages 13-24. Springer-Verlag, 1989.
-
(1989)
Optimization
, pp. 13-24
-
-
Bonnans, J.F.1
-
40
-
-
0028385352
-
Local analysis of Newton-type methods for variational inequalities and nonlinear programming
-
J.F. Bonnans. Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Applied Mathematics and Optimization, 29:161-186, 1994.
-
(1994)
Applied Mathematics and Optimization
, vol.29
, pp. 161-186
-
-
Bonnans, J.F.1
-
41
-
-
84892894241
-
Exact penalization with a small nonsmooth term
-
J.F. Bonnans. Exact penalization with a small nonsmooth term. Revista de Matemáticas Aplicadas, 17:37-45, 1996.
-
(1996)
Revista de Matemáticas Aplicadas
, vol.17
, pp. 37-45
-
-
Bonnans, J.F.1
-
42
-
-
0001360721
-
A family of variable metric proximal methods
-
J.F. Bonnans, J.Ch. Gilbert, C. Lemaréchal, and C. Sagastizábal. A family of variable metric proximal methods. Mathematical Programming, 68:15-47, 1995.
-
(1995)
Mathematical Programming
, vol.68
, pp. 15-47
-
-
Bonnans, J.F.1
Ch. Gilbert, J.2
Lemaréchal, C.3
Sagastizábal, C.4
-
43
-
-
0037952236
-
-
Number 27 in Mathématiques et Applications. Springer Verlag, Berlin
-
J.F. Bonnans, J.Ch. Gilbert, C. Lemaréchal, and C. Sagastizábal. Optimisation Numérique - Aspects théoriques et pratiques. Number 27 in Mathématiques et Applications. Springer Verlag, Berlin, 1997.
-
(1997)
Optimisation Numérique - Aspects Théoriques et Pratiques
-
-
Bonnans, J.F.1
Ch. Gilbert, J.2
Lemaréchal, C.3
Sagastizábal, C.4
-
44
-
-
0030084871
-
Convergence of interior point algorithms for the monotone linear complementarity problem
-
J.F. Bonnans and C.C. Gonzaga. Convergence of interior point algorithms for the monotone linear complementarity problem. Mathematics of Operations Research, 21:1-25, 1996.
-
(1996)
Mathematics of Operations Research
, vol.21
, pp. 1-25
-
-
Bonnans, J.F.1
Gonzaga, C.C.2
-
45
-
-
0041022074
-
Sequential quadratic programming with penalization of the displacement
-
J.F. Bonnans and G. Launay. Sequential quadratic programming with penalization of the displacement. SIAM Journal on Optimization, 5:792-812, 1995.
-
(1995)
SIAM Journal on Optimization
, vol.5
, pp. 792-812
-
-
Bonnans, J.F.1
Launay, G.2
-
46
-
-
0026908925
-
Avoiding the Maratos effect by means of a nonmonotone line search II: Inequality constrained problems - Feasible iterates
-
J.F. Bonnans, E.R. Panier, A.L. Tits, and J.L. Zhou. Avoiding the Maratos effect by means of a nonmonotone line search II: Inequality constrained problems - Feasible iterates. SIAM Journal on Numerical Analysis, 29:1187-1202, 1992.
-
(1992)
SIAM Journal on Numerical Analysis
, vol.29
, pp. 1187-1202
-
-
Bonnans, J.F.1
Panier, E.R.2
Tits, A.L.3
Zhou, J.L.4
-
48
-
-
0031140626
-
Infeasible path following algorithms for linear complementarity problems
-
J.F. Bonnans and F.A. Potra. Infeasible path following algorithms for linear complementarity problems. Mathematics of Operations Research, 22:378-407, 1997.
-
(1997)
Mathematics of Operations Research
, vol.22
, pp. 378-407
-
-
Bonnans, J.F.1
Potra, F.A.2
-
49
-
-
0032096712
-
Optimization problems with perturbations - A guided tour
-
J.F. Bonnans and A. Shapiro. Optimization problems with perturbations - A guided tour. SIAM Review, 40:202-227, 1998.
-
(1998)
SIAM Review
, vol.40
, pp. 202-227
-
-
Bonnans, J.F.1
Shapiro, A.2
-
53
-
-
84966214346
-
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems
-
J.H. Bramble and J.E. Pasciak. A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Mathematics of Computation, 50:1-7, 1988.
-
(1988)
Mathematics of Computation
, vol.50
, pp. 1-7
-
-
Bramble, J.H.1
Pasciak, J.E.2
-
56
-
-
84966228742
-
Some stable methods for calculating inertia and solving symmetric linear systems
-
J.R. Bunch and L. Kaufman. Some stable methods for calculating inertia and solving symmetric linear systems. Mathematics of Computation, 31:163-179, 1977.
-
(1977)
Mathematics of Computation
, vol.31
, pp. 163-179
-
-
Bunch, J.R.1
Kaufman, L.2
-
57
-
-
0002403757
-
Enlargement of monotone operators with applications to variational inequalities
-
R.S. Burachik, A.N. Iusem, and B.F. Svaiter. Enlargement of monotone operators with applications to variational inequalities. Set-Valued Anal., 5(2):159-180, 1997.
-
(1997)
Set-Valued Anal.
, vol.5
, Issue.2
, pp. 159-180
-
-
Burachik, R.S.1
Iusem, A.N.2
Svaiter, B.F.3
-
58
-
-
30944455712
-
An inexact method of partial inverses and a parallel bundle method
-
R.S. Burachik, C. Sagastizábal, and S. Scheinberg de Makler. An inexact method of partial inverses and a parallel bundle method. Optimization Methods and Software, 21(3):385-400, 2006.
-
(2006)
Optimization Methods and Software
, vol.21
, Issue.3
, pp. 385-400
-
-
Burachik, R.S.1
Sagastizábal, C.2
De Makler, S.S.3
-
59
-
-
0002529194
-
Bundle methods for maximal monotone operators
-
R. Tichatschke and M. Théra, editors, number 477 in Lecture Notes in Economics and Mathematical Systems, Springer-Verlag Berlin Heidelberg
-
R.S. Burachik, C. Sagastizábal, and B. F. Svaiter. Bundle methods for maximal monotone operators. In R. Tichatschke and M. Théra, editors, Ill-posed Variational Problems and Regularization Techniques, number 477 in Lecture Notes in Economics and Mathematical Systems, pages 49-64. Springer-Verlag Berlin Heidelberg, 1999.
-
(1999)
Ill-posed Variational Problems and Regularization Techniques
, pp. 49-64
-
-
Burachik, R.S.1
Sagastizábal, C.2
Svaiter, B.F.3
-
60
-
-
0026190240
-
An exact penalization viewpoint of constrained optimization
-
J.V. Burke. An exact penalization viewpoint of constrained optimization. SIAM Journal on Control and Optimization, 29:968-998, 1991.
-
(1991)
SIAM Journal on Control and Optimization
, vol.29
, pp. 968-998
-
-
Burke, J.V.1
-
61
-
-
0024640194
-
A robust sequential quadratic programming method
-
J.V. Burke and S.-P. Han. A robust sequential quadratic programming method. Mathematical Programming, 43:277-303, 1989.
-
(1989)
Mathematical Programming
, vol.43
, pp. 277-303
-
-
Burke, J.V.1
Han, S.-P.2
-
63
-
-
0022075954
-
An example of irregular convergence in some constrained optimization methods that use the projected Hessian
-
R.H. Byrd. An example of irregular convergence in some constrained optimization methods that use the projected Hessian. Mathematical Programming, 32:232-237, 1985.
-
(1985)
Mathematical Programming
, vol.32
, pp. 232-237
-
-
Byrd, R.H.1
-
64
-
-
0025384985
-
On the convergence of constrained optimization methods with accurate Hessian information on a subspace
-
R.H. Byrd. On the convergence of constrained optimization methods with accurate Hessian information on a subspace. SIAM Journal on Numerical Analysis, 27:141-153, 1990.
-
(1990)
SIAM Journal on Numerical Analysis
, vol.27
, pp. 141-153
-
-
Byrd, R.H.1
-
65
-
-
0001130234
-
A trust region method based on interior point techniques for nonlinear programming
-
R.H. Byrd, J.Ch. Gilbert, and J. Nocedal. A trust region method based on interior point techniques for nonlinear programming. Mathematical Programming, 89:149-185, 2000.
-
(2000)
Mathematical Programming
, vol.89
, pp. 149-185
-
-
Byrd, R.H.1
Ch. Gilbert, J.2
Nocedal, J.3
-
66
-
-
0001423485
-
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization
-
R.H. Byrd and J. Nocedal. A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. SIAM Journal on Numerical Analysis, 26:727-739, 1989.
-
(1989)
SIAM Journal on Numerical Analysis
, vol.26
, pp. 727-739
-
-
Byrd, R.H.1
Nocedal, J.2
-
67
-
-
0025791660
-
An analysis of reduced Hessian methods for constrained optimization
-
R.H. Byrd and J. Nocedal. An analysis of reduced Hessian methods for constrained optimization. Mathematical Programming, 49:285-323, 1991.
-
(1991)
Mathematical Programming
, vol.49
, pp. 285-323
-
-
Byrd, R.H.1
Nocedal, J.2
-
68
-
-
0022721846
-
Continuity of the null space basis and constrained optimization
-
R.H. Byrd and R.B. Schnabel. Continuity of the null space basis and constrained optimization. Mathematical Programming, 35:32-41, 1986.
-
(1986)
Mathematical Programming
, vol.35
, pp. 32-41
-
-
Byrd, R.H.1
Schnabel, R.B.2
-
69
-
-
0001616444
-
An SQP augmented Lagrangian BFGS algorithm for constrained optimization
-
R.H. Byrd, R.A. Tapia, and Y. Zhang. An SQP augmented Lagrangian BFGS algorithm for constrained optimization. SIAM Journal on Optimization, 2:210-241, 1992.
-
(1992)
SIAM Journal on Optimization
, vol.2
, pp. 210-241
-
-
Byrd, R.H.1
Tapia, R.A.2
Zhang, Y.3
-
70
-
-
0000478038
-
Méthode générale pour la résolution des systèmes d'équations simultanées
-
A. Cauchy. Méthode générale pour la résolution des systèmes d'équations simultanées. C. R. Acad. Sci. Paris, 25:535-538, 1847.
-
(1847)
C. R. Acad. Sci. Paris
, vol.25
, pp. 535-538
-
-
Cauchy, A.1
-
73
-
-
0002674910
-
The watchdog technique for forcing convergence in algorithms for constrained optimization
-
R.M. Chamberlain, C. Lemaréchal, H.C. Pedersen, and M.J.D. Powell. The watchdog technique for forcing convergence in algorithms for constrained optimization. Mathematical Programming Study, 16:1-17, 1982.
-
(1982)
Mathematical Programming Study
, vol.16
, pp. 1-17
-
-
Chamberlain, R.M.1
Lemaréchal, C.2
Pedersen, H.C.3
Powell, M.J.D.4
-
74
-
-
34250285453
-
A lower bound for the controlling parameters of the exact penalty functions
-
C. Charalambous. A lower bound for the controlling parameters of the exact penalty functions. Mathematical Programming, 15:278-290, 1978.
-
(1978)
Mathematical Programming
, vol.15
, pp. 278-290
-
-
Charalambous, C.1
-
75
-
-
47249116292
-
A truncated SQP algorithm for solving nonconvex equality constrained optimization problems
-
G. Di Pillo and A. Murli, editors, Kluwer Academic Publishers B.V.
-
L. Chauvier, A. Fuduli, and J.Ch. Gilbert. A truncated SQP algorithm for solving nonconvex equality constrained optimization problems. In G. Di Pillo and A. Murli, editors, High Performance Algorithms and Software for Nonlinear Optimization, pages 146-173. Kluwer Academic Publishers B.V., 2003.
-
(2003)
High Performance Algorithms and Software for Nonlinear Optimization
, pp. 146-173
-
-
Chauvier, L.1
Fuduli, A.2
Ch. Gilbert, J.3
-
76
-
-
0002472542
-
A proximal-based decomposition method for convex minimization problems
-
Ser. A
-
G. Chen and M. Teboulle. A proximal-based decomposition method for convex minimization problems. Math. Programming, 64(1, Ser. A):81-101, 1994.
-
(1994)
Math. Programming
, vol.64
, Issue.1
, pp. 81-101
-
-
Chen, G.1
Teboulle, M.2
-
77
-
-
0001106044
-
Proximal quasi-Newton methods for nondifferentiable convex optimization
-
Ser. A
-
X. Chen and M. Fukushima. Proximal quasi-Newton methods for nondifferentiable convex optimization. Math. Program., 85(2, Ser. A):313-334, 1999.
-
(1999)
Math. Program.
, vol.85
, Issue.2
, pp. 313-334
-
-
Chen, X.1
Fukushima, M.2
-
78
-
-
0000882113
-
Newton's method for convex programming and Tchebycheff approximations
-
E. Cheney and A. Goldstein. Newton's method for convex programming and Tchebycheff approximations. Numerische Mathematik, 1:253-268, 1959.
-
(1959)
Numerische Mathematik
, vol.1
, pp. 253-268
-
-
Cheney, E.1
Goldstein, A.2
-
81
-
-
34250234854
-
Nonlinear programming via an exact penalty function: Asymptotic analysis
-
T.F. Coleman and A.R. Conn. Nonlinear programming via an exact penalty function: asymptotic analysis. Mathematical Programming, 24:123-136, 1982.
-
(1982)
Mathematical Programming
, vol.24
, pp. 123-136
-
-
Coleman, T.F.1
Conn, A.R.2
-
82
-
-
34250234852
-
Nonlinear programming via an exact penalty function: Global analysis
-
T.F. Coleman and A.R. Conn. Nonlinear programming via an exact penalty function: global analysis. Mathematical Programming, 24:137-161, 1982.
-
(1982)
Mathematical Programming
, vol.24
, pp. 137-161
-
-
Coleman, T.F.1
Conn, A.R.2
-
83
-
-
0021451638
-
A note on the computation of an orthonormal basis for the null space of a matrix
-
T.F. Coleman and D.C. Sorensen. A note on the computation of an orthonormal basis for the null space of a matrix. Mathematical Programming, 29:234-242, 1984.
-
(1984)
Mathematical Programming
, vol.29
, pp. 234-242
-
-
Coleman, T.F.1
Sorensen, D.C.2
-
87
-
-
0010999635
-
On the asymptotic complexity of matrix multiplications
-
D. Coppersmith and S. Winograd. On the asymptotic complexity of matrix multiplications. SIAM J. Computation, 11:472-492, 1982.
-
(1982)
SIAM J. Computation
, vol.11
, pp. 472-492
-
-
Coppersmith, D.1
Winograd, S.2
-
88
-
-
0003688299
-
Automatic differentiation of algorithms: Theory, implementation, and application
-
SIAM, Philadelphia
-
G. Corliss and A. Griewank, editors. Automatic Differentiation of Algorithms: Theory, Implementation, and Application. Proceedings in Applied Mathematics 53. SIAM, Philadelphia, 1991.
-
(1991)
Proceedings in Applied Mathematics
, vol.53
-
-
Corliss, G.1
Griewank, A.2
-
89
-
-
33646971357
-
Convergence of some algorithms for convex minimization
-
R. Correa and C. Lemaréchal. Convergence of some algorithms for convex minimization. Mathematical Programming, 62:261-275, 1993.
-
(1993)
Mathematical Programming
, vol.62
, pp. 261-275
-
-
Correa, R.1
Lemaréchal, C.2
-
92
-
-
0037082980
-
A suffcient condition for the convergence of the inexact Uzawa algorithm for saddle point problems
-
M. Cui. A suffcient condition for the convergence of the inexact Uzawa algorithm for saddle point problems. Journal of Computational and Applied Mathematics, 139:189-196, 2002.
-
(2002)
Journal of Computational and Applied Mathematics
, vol.139
, pp. 189-196
-
-
Cui, M.1
-
93
-
-
0025522739
-
Decomposition/coordination algorithms in stochastic optimization
-
J.-C. Culioli and G. Cohen. Decomposition/coordination algorithms in stochastic optimization. SIAM J. Control Optim., 28(6):1372-1403, 1990.
-
(1990)
SIAM J. Control Optim.
, vol.28
, Issue.6
, pp. 1372-1403
-
-
Culioli, J.-C.1
Cohen, G.2
-
95
-
-
0000039065
-
The decomposition algorithm for linear programming
-
G.B. Dantzig and P. Wolfe. The decomposition algorithm for linear programming. Econometrica, 29(4):767-778, 1961.
-
(1961)
Econometrica
, vol.29
, Issue.4
, pp. 767-778
-
-
Dantzig, G.B.1
Wolfe, P.2
-
96
-
-
0003479664
-
Variable metric methods for minimization
-
Argonne National Laboratory, Argonne, Illinois
-
W.C. Davidon. Variable metric methods for minimization. AEC Research and Development Report ANL-5990, Argonne National Laboratory, Argonne, Illinois, 1959.
-
(1959)
AEC Research and Development Report ANL-5990
-
-
Davidon, W.C.1
-
97
-
-
84964389892
-
Variable metric method for optimization
-
W.C. Davidon. Variable metric method for optimization. SIAM Journal on Optimization, 1:1-17, 1991.
-
(1991)
SIAM Journal on Optimization
, vol.1
, pp. 1-17
-
-
Davidon, W.C.1
-
98
-
-
17044378544
-
Global linear convergence of an augmented Lagrangian algorithm for solving convex quadratic optimization problems
-
F. Delbos and J.Ch. Gilbert. Global linear convergence of an augmented Lagrangian algorithm for solving convex quadratic optimization problems. Journal of Convex Analysis, 12:45-69, 2005.
-
(2005)
Journal of Convex Analysis
, vol.12
, pp. 45-69
-
-
Delbos, F.1
Ch. Gilbert, J.2
-
99
-
-
33645303317
-
Constrained optimization in seismic reection tomography: A Gauss-Newton augmented Lagrangian approach
-
F. Delbos, J.Ch. Gilbert, R. Glowinski, and D. Sinoquet. Constrained optimization in seismic reection tomography: a Gauss-Newton augmented Lagrangian approach. Geophysical Journal International, 164:670-684, 2006.
-
(2006)
Geophysical Journal International
, vol.164
, pp. 670-684
-
-
Delbos, F.1
Ch. Gilbert, J.2
Glowinski, R.3
Sinoquet, D.4
-
100
-
-
0027085031
-
What information on the Earth model do reection travel times hold ?
-
F. Delprat-Jannaud and P. Lailly. What information on the Earth model do reection travel times hold ? Journal of Geophysical Research, 97:19827-19844, 1992.
-
(1992)
Journal of Geophysical Research
, vol.97
, pp. 19827-19844
-
-
Delprat-Jannaud, F.1
Lailly, P.2
-
101
-
-
0000438161
-
Ill-posed and well-posed formulations of the reection travel time tomography problem
-
F. Delprat-Jannaud and P. Lailly. Ill-posed and well-posed formulations of the reection travel time tomography problem. Journal of Geophysical Research, 98:6589-6605, 1993.
-
(1993)
Journal of Geophysical Research
, vol.98
, pp. 6589-6605
-
-
Delprat-Jannaud, F.1
Lailly, P.2
-
102
-
-
0020763823
-
Truncated-Newton algorithms for large-scale unconstrained optimization
-
R.S. Dembo and T. Steihaug. Truncated-Newton algorithms for large-scale unconstrained optimization. Mathematical Programming, 26:190-212, 1983.
-
(1983)
Mathematical Programming
, vol.26
, pp. 190-212
-
-
Dembo, R.S.1
Steihaug, T.2
-
104
-
-
84966259557
-
A characterization of superlinear convergence and its application to quasi-Newton methods
-
J.E. Dennis and J.J. Moré. A characterization of superlinear convergence and its application to quasi-Newton methods. Mathematics of Computation, 28:549-560, 1974.
-
(1974)
Mathematics of Computation
, vol.28
, pp. 549-560
-
-
Dennis, J.E.1
Moré, J.J.2
-
105
-
-
0002663672
-
Quasi-Newton methods, motivation and theory
-
J.E. Dennis and J.J. Moré. Quasi-Newton methods, motivation and theory. SIAM Review, 19:46-89, 1977.
-
(1977)
SIAM Review
, vol.19
, pp. 46-89
-
-
Dennis, J.E.1
Moré, J.J.2
-
106
-
-
0000217813
-
A new derivation of symmetric positive definite secant updates
-
Academic Press
-
J.E. Dennis and R.B. Schnabel. A new derivation of symmetric positive definite secant updates. In Nonlinear Programming 4, pages 167-199. Academic Press, 1981.
-
(1981)
Nonlinear Programming
, vol.4
, pp. 167-199
-
-
Dennis, J.E.1
Schnabel, R.B.2
-
110
-
-
0001938599
-
On exact augmented Lagrangian functions in nonlinear programming
-
G. Di Pillo and F. Giannessi, editors, Plenum Press, New York
-
G. Di Pillo and S. Lucidi. On exact augmented Lagrangian functions in nonlinear programming. In G. Di Pillo and F. Giannessi, editors, Nonlinear Optimization and Applications, pages 85-100. Plenum Press, New York, 1996.
-
(1996)
Nonlinear Optimization and Applications
, pp. 85-100
-
-
Di Pillo, G.1
Lucidi, S.2
-
111
-
-
0036013031
-
An augmented Lagrangian function with improved exactness properties
-
G. Di Pillo and S. Lucidi. An augmented Lagrangian function with improved exactness properties. SIAM Journal on Optimization, 12:376-406, 2001.
-
(2001)
SIAM Journal on Optimization
, vol.12
, pp. 376-406
-
-
Di Pillo, G.1
Lucidi, S.2
-
113
-
-
28244496090
-
Benchmarking optimization software with performance profiles
-
E.D. Dolan and J.J. Moré. Benchmarking optimization software with performance profiles. Mathematical Programming, 91:201-213, 2002.
-
(2002)
Mathematical Programming
, vol.91
, pp. 201-213
-
-
Dolan, E.D.1
Moré, J.J.2
-
114
-
-
0003579810
-
MA27 - A set of Fortran subroutines for solving sparse symmetric sets of linear equations
-
HMSO, London
-
I.S. Duff and J.K. Reid. MA27 - A set of Fortran subroutines for solving sparse symmetric sets of linear equations. Technical Report AERE R10533, HMSO, London, 1982.
-
(1982)
Technical Report AERE R10533
-
-
Duff, I.S.1
Reid, J.K.2
-
115
-
-
0020822138
-
The multifrontal solution of indefinite sparse symmetric linear systems
-
I.S. Duff and J.K. Reid. The multifrontal solution of indefinite sparse symmetric linear systems. ACM Transactions on Mathematical Software, 9:301-325, 1983.
-
(1983)
ACM Transactions on Mathematical Software
, vol.9
, pp. 301-325
-
-
Duff, I.S.1
Reid, J.K.2
-
116
-
-
0030170479
-
Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems
-
I.S. Duff and J.K. Reid. Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems. ACM Transactions on Mathematical Software, 22:227-257, 1996.
-
(1996)
ACM Transactions on Mathematical Software
, vol.22
, pp. 227-257
-
-
Duff, I.S.1
Reid, J.K.2
-
118
-
-
0028741633
-
Inexact and preconditioned Uzawa algorithms for saddle point problems
-
H.C. Elman and G.H. Golub. Inexact and preconditioned Uzawa algorithms for saddle point problems. SIAM Journal on Numerical Analysis, 31:1645-1661, 1994.
-
(1994)
SIAM Journal on Numerical Analysis
, vol.31
, pp. 1645-1661
-
-
Elman, H.C.1
Golub, G.H.2
-
119
-
-
0038247694
-
The penalty method in convex programming
-
I.I. Eremin. The penalty method in convex programming. Soviet Mathematics Doklady, 8:459-462, 1966.
-
(1966)
Soviet Mathematics Doklady
, vol.8
, pp. 459-462
-
-
Eremin, I.I.1
-
120
-
-
31144466821
-
Exact penalty functions and Lagrange multipliers
-
F. Facchinei. Exact penalty functions and Lagrange multipliers. Optimization, 22:579-606, 1991.
-
(1991)
Optimization
, vol.22
, pp. 579-606
-
-
Facchinei, F.1
-
121
-
-
0032131216
-
Convergence to second-order stationary points in inequality constrained optimization
-
F. Facchinei and S. Lucidi. Convergence to second-order stationary points in inequality constrained optimization. Mathematics of Operations Research, 23:746-766, 1998.
-
(1998)
Mathematics of Operations Research
, vol.23
, pp. 746-766
-
-
Facchinei, F.1
Lucidi, S.2
-
123
-
-
0001641947
-
Über das vorkommen definiter und semidefiniter formen und scharen quadratischer formen
-
P. Finsler. Über das vorkommen definiter und semidefiniter formen und scharen quadratischer formen. Commentarii Mathematici Helvetica, 9:188-192, 1937.
-
(1937)
Commentarii Mathematici Helvetica
, vol.9
, pp. 188-192
-
-
Finsler, P.1
-
124
-
-
0003336489
-
A class of methods for nonlinear programming with termination and convergence properties
-
J. Abadie, editor, North-Holland, Amsterdam
-
R. Fletcher. A class of methods for nonlinear programming with termination and convergence properties. In J. Abadie, editor, Integer and Nonlinear Programming. North-Holland, Amsterdam, 1970.
-
(1970)
Integer and Nonlinear Programming
-
-
Fletcher, R.1
-
126
-
-
0001963239
-
A model algorithm for composite nondifferentiable optimization problems
-
R. Fletcher. A model algorithm for composite nondifferentiable optimization problems. Mathematical Programming Study, 17:67-76, 1982.
-
(1982)
Mathematical Programming Study
, vol.17
, pp. 67-76
-
-
Fletcher, R.1
-
127
-
-
0040133819
-
Second order corrections for non-differentiable optimization
-
D. Griffiths, editor, Springer-Verlag
-
R. Fletcher. Second order corrections for non-differentiable optimization. In D. Griffiths, editor, Numerical Analysis, pages 85-114. Springer-Verlag, 1982.
-
(1982)
Numerical Analysis
, pp. 85-114
-
-
Fletcher, R.1
-
130
-
-
0001556338
-
Nonlinear programming without a penalty function
-
R. Fletcher and S. Leyffer. Nonlinear programming without a penalty function. Mathematical Programming, 91:239-269, 2002.
-
(2002)
Mathematical Programming
, vol.91
, pp. 239-269
-
-
Fletcher, R.1
Leyffer, S.2
-
132
-
-
0000387235
-
A rapidly convergent descent method for minimization
-
R. Fletcher and M.J.D. Powell. A rapidly convergent descent method for minimization. The Computer Journal, 6:163-168, 1963.
-
(1963)
The Computer Journal
, vol.6
, pp. 163-168
-
-
Fletcher, R.1
Powell, M.J.D.2
-
133
-
-
0000106422
-
Computing modiéd Newton directions using a partial Cholesky factorization
-
A. Forsgren, P.E. Gill, and W. Murray. Computing modiéd Newton directions using a partial Cholesky factorization. SIAM Journal on Scientific Computing, 16:139-150, 1995.
-
(1995)
SIAM Journal on Scientific Computing
, vol.16
, pp. 139-150
-
-
Forsgren, A.1
Gill, P.E.2
Murray, W.3
-
135
-
-
0037289034
-
Generalized bundle methods
-
A. Frangioni. Generalized bundle methods. SIAM Journal on Optimization, 13(1):117-156, 2003.
-
(2003)
SIAM Journal on Optimization
, vol.13
, Issue.1
, pp. 117-156
-
-
Frangioni, A.1
-
136
-
-
0021503955
-
A descent algorithm for nonsmooth convex optimization
-
M. Fukushima. A descent algorithm for nonsmooth convex optimization. Mathematical Programming, 30:163-175, 1984.
-
(1984)
Mathematical Programming
, vol.30
, pp. 163-175
-
-
Fukushima, M.1
-
137
-
-
0020145445
-
Minimizing a differentiable function over a differential manifold
-
D. Gabay. Minimizing a differentiable function over a differential manifold. Journal of Optimization Theory and Applications, 37:177-219, 1982.
-
(1982)
Journal of Optimization Theory and Applications
, vol.37
, pp. 177-219
-
-
Gabay, D.1
-
138
-
-
0001837582
-
Reduced quasi-Newton methods with feasibility improvement for nonlinearly constrained optimization
-
D. Gabay. Reduced quasi-Newton methods with feasibility improvement for nonlinearly constrained optimization. Mathematical Programming Study, 16:18-44, 1982.
-
(1982)
Mathematical Programming Study
, vol.16
, pp. 18-44
-
-
Gabay, D.1
-
140
-
-
0001673058
-
A necessary and suffcient regularity condition to have bounded multipliers in nonconvex programming
-
J. Gauvin. A necessary and suffcient regularity condition to have bounded multipliers in nonconvex programming. Mathematical Programming, 12:136-138, 1977.
-
(1977)
Mathematical Programming
, vol.12
, pp. 136-138
-
-
Gauvin, J.1
-
143
-
-
0002688960
-
A primal-dual interior method for nonconvex nonlinear programming
-
Y.-X. Yuan, editor, Kluwer Academic Publishers
-
D.M. Gay, M.L. Overton, and M.H. Wright. A primal-dual interior method for nonconvex nonlinear programming. In Y.-X. Yuan, editor, Advances in Nonlinear Programming. Kluwer Academic Publishers, 1998.
-
(1998)
Advances in Nonlinear Programming
-
-
Gay, D.M.1
Overton, M.L.2
Wright, M.H.3
-
144
-
-
0000758941
-
Mise à jour de la métrique dans les méthodes de quasi- Newton réduites en optimisation avec contraintes d'égalité
-
J.Ch. Gilbert. Mise à jour de la métrique dans les méthodes de quasi- Newton réduites en optimisation avec contraintes d'égalité. Modélisation Mathématique et Analyse Numérique, 22:251-288, 1988.
-
(1988)
Modélisation Mathématique et Analyse Numérique
, vol.22
, pp. 251-288
-
-
Ch. Gilbert, J.1
-
145
-
-
0000183404
-
On the local and global convergence of a reduced quasi-Newton method
-
J.Ch. Gilbert. On the local and global convergence of a reduced quasi-Newton method. Optimization, 20:421-450, 1989.
-
(1989)
Optimization
, vol.20
, pp. 421-450
-
-
Ch. Gilbert, J.1
-
146
-
-
0026118939
-
Maintaining the positive definiteness of the matrices in reduced secant methods for equality constrained optimization
-
J.Ch. Gilbert. Maintaining the positive definiteness of the matrices in reduced secant methods for equality constrained optimization. Mathematical Programming, 50:1-28, 1991.
-
(1991)
Mathematical Programming
, vol.50
, pp. 1-28
-
-
Ch. Gilbert, J.1
-
147
-
-
0010833820
-
Superlinear convergence of a reduced BFGS method with piecewise line-search and update criterion
-
INRIA, BP 105, 78153 Le Chesnay, France
-
J.Ch. Gilbert. Superlinear convergence of a reduced BFGS method with piecewise line-search and update criterion. Rapport de Recherche 2140, INRIA, BP 105, 78153 Le Chesnay, France, 1993.
-
(1993)
Rapport de Recherche 2140
-
-
Ch. Gilbert, J.1
-
148
-
-
0031285897
-
On the realization of the Wolfe conditions in reduced quasi- Newton methods for equality constrained optimization
-
J.Ch. Gilbert. On the realization of the Wolfe conditions in reduced quasi- Newton methods for equality constrained optimization. SIAM Journal on Optimization, 7:780-813, 1997.
-
(1997)
SIAM Journal on Optimization
, vol.7
, pp. 780-813
-
-
Ch. Gilbert, J.1
-
149
-
-
84892888937
-
Piecewise line-search techniques for constrained minimization by quasi-Newton algorithms
-
Y.-X. Yuan, editor, chapter 4, Kluwer Academic Publishers
-
J.Ch. Gilbert. Piecewise line-search techniques for constrained minimization by quasi-Newton algorithms. In Y.-X. Yuan, editor, Advances in Nonlinear Programming, chapter 4, pages 73-103. Kluwer Academic Publishers, 1998.
-
(1998)
Advances in Nonlinear Programming
, pp. 73-103
-
-
Ch. Gilbert, J.1
-
151
-
-
84892875260
-
La différentiation automatique de fonctions repré sentées par des programmes
-
Inria, BP 105, F-78153 Le Chesnay, France
-
J.Ch. Gilbert, G. Le Vey, and J. Masse. La différentiation automatique de fonctions représentées par des programmes. Rapport de Recherche no 1557, Inria, BP 105, F-78153 Le Chesnay, France, 1991.
-
(1991)
Rapport de Recherche No 1557
-
-
Ch. Gilbert, J.1
Le Vey, G.2
Masse, J.3
-
152
-
-
34249975203
-
Some numerical experiments with variablestorage quasi-Newton algorithms
-
J.Ch. Gilbert and C. Lemaréchal. Some numerical experiments with variablestorage quasi-Newton algorithms. Mathematical Programming, 45:407-435, 1989.
-
(1989)
Mathematical Programming
, vol.45
, pp. 407-435
-
-
Ch. Gilbert, J.1
Lemaréchal, C.2
-
153
-
-
0002824920
-
Global convergence properties of conjugate gradient methods for optimization
-
J.Ch. Gilbert and J. Nocedal. Global convergence properties of conjugate gradient methods for optimization. SIAM Journal on Optimization, 2:21-42, 1992.
-
(1992)
SIAM Journal on Optimization
, vol.2
, pp. 21-42
-
-
Ch. Gilbert, J.1
Nocedal, J.2
-
154
-
-
0016357685
-
Newton-type methods for unconstrained and linearly constrained optimization
-
P.E. Gill and W. Murray. Newton-type methods for unconstrained and linearly constrained optimization. Mathematical Programming, 7:311-350, 1974.
-
(1974)
Mathematical Programming
, vol.7
, pp. 311-350
-
-
Gill, P.E.1
Murray, W.2
-
155
-
-
0003456149
-
SNOPT: An SQP algorithm for large-scale constrained optimization
-
Department of Mathematics, University of California, San Diego, La Jolla, CA
-
P.E. Gill, W. Murray, and M.A. Saunders. SNOPT: an SQP algorithm for large-scale constrained optimization. Numerical Analysis Report 96-2, Department of Mathematics, University of California, San Diego, La Jolla, CA, 1996.
-
(1996)
Numerical Analysis Report 96-2
-
-
Gill, P.E.1
Murray, W.2
Saunders, M.A.3
-
156
-
-
0036433588
-
SNOPT: An SQP algorithm for large-scale constrained optimization
-
P.E. Gill, W. Murray, and M.A. Saunders. SNOPT: an SQP algorithm for large-scale constrained optimization. SIAM Journal on Optimization, 12:979-1006, 2002.
-
(2002)
SIAM Journal on Optimization
, vol.12
, pp. 979-1006
-
-
Gill, P.E.1
Murray, W.2
Saunders, M.A.3
-
157
-
-
0022162615
-
Properties of a representation of a basis for the null space
-
P.E. Gill, W. Murray, M.A. Saunders, G.W. Stewart, and M.H. Wright. Properties of a representation of a basis for the null space. Mathematical Programming, 33:172-186, 1985.
-
(1985)
Mathematical Programming
, vol.33
, pp. 172-186
-
-
Gill, P.E.1
Murray, W.2
Saunders, M.A.3
Stewart, G.W.4
Wright, M.H.5
-
158
-
-
0003468941
-
User's guide for NPSOL (version 4.0): A Fortran package for nonlinear programming
-
Department of Operations Research, Stanford University, Stanford, CA 94305
-
P.E. Gill, W. Murray, M.A. Saunders, and M.H. Wright. User's guide for NPSOL (version 4.0): a Fortran package for nonlinear programming. Technical Report SOL-86-2, Department of Operations Research, Stanford University, Stanford, CA 94305, 1986.
-
(1986)
Technical Report SOL-86-2
-
-
Gill, P.E.1
Murray, W.2
Saunders, M.A.3
Wright, M.H.4
-
159
-
-
77957083462
-
Constrained nonlinear programming
-
G.L. Nemhauser, A.H.G. Rinnooy Kan, and M.J. Todd, editors, Optimization, chapter 3, Elsevier Science Publishers B.V., North-Holland
-
P.E. Gill, W. Murray, M.A. Saunders, and M.H. Wright. Constrained nonlinear programming. In G.L. Nemhauser, A.H.G. Rinnooy Kan, and M.J. Todd, editors, Handbooks in Operations Research and Management Science, volume 1: Optimization, chapter 3, pages 171-210. Elsevier Science Publishers B.V., North-Holland, 1989.
-
(1989)
Handbooks in Operations Research and Management Science
, vol.1
, pp. 171-210
-
-
Gill, P.E.1
Murray, W.2
Saunders, M.A.3
Wright, M.H.4
-
161
-
-
0018481856
-
Properties of updating methods for the multipliers in augmented Lagrangians
-
S.T. Glad. Properties of updating methods for the multipliers in augmented Lagrangians. Journal of Optimization Theory and Applications, 28:135-156, 1979.
-
(1979)
Journal of Optimization Theory and Applications
, vol.28
, pp. 135-156
-
-
Glad, S.T.1
-
162
-
-
7044256172
-
Constrained optimization in reexion tomography: The augmented Lagrangian method
-
R. Glowinski and Q.-H. Tran. Constrained optimization in reexion tomography: the augmented Lagrangian method. East-West J. Numer. Math., 1(3):213-234, 1993.
-
(1993)
East-West J. Numer. Math.
, vol.1
, Issue.3
, pp. 213-234
-
-
Glowinski, R.1
Tran, Q.-H.2
-
163
-
-
0002396293
-
On convergence rates of subgradient optimization methods
-
J.-L. Goffin. On convergence rates of subgradient optimization methods. Mathematical Programming, 13:329-347, 1977.
-
(1977)
Mathematical Programming
, vol.13
, pp. 329-347
-
-
Goffin, J.-L.1
-
164
-
-
0000908433
-
Convergence of a simple sugradient level method
-
J.L. Goffin and K.C. Kiwiel. Convergence of a simple sugradient level method. Math. Program., 85:207-211, 1999.
-
(1999)
Math. Program.
, vol.85
, pp. 207-211
-
-
Goffin, J.L.1
Kiwiel, K.C.2
-
165
-
-
0020826623
-
A numerically stable dual method for solving strictly convex quadratic programs
-
D. Goldfarb and A. Idnani. A numerically stable dual method for solving strictly convex quadratic programs. Mathematical Programming, 27:1-33, 1983.
-
(1983)
Mathematical Programming
, vol.27
, pp. 1-33
-
-
Goldfarb, D.1
Idnani, A.2
-
166
-
-
77957030886
-
Linear programming
-
G.L. Nemhauser et al., editor, Optimization, North-Holland
-
D. Goldfarb and M.J. Todd. Linear programming. In G.L. Nemhauser et al., editor, Handbook on Operations Research and Management Science, volume 1, Optimization, pages 73-170. North-Holland, 1989.
-
(1989)
Handbook on Operations Research and Management Science
, vol.1
, pp. 73-170
-
-
Goldfarb, D.1
Todd, M.J.2
-
167
-
-
0002670264
-
Polyhedral convex cones
-
H.W. Kuhn and A.W. Tucker, editors, Princeton, Princeton University Press
-
A.J. Goldman and A.W. Tucker. Polyhedral convex cones. In H.W. Kuhn and A.W. Tucker, editors, Linear inequalities and related systems, pages 19- 40, Princeton, 1956. Princeton University Press.
-
(1956)
Linear Inequalities and Related Systems
, pp. 19-40
-
-
Goldman, A.J.1
Tucker, A.W.2
-
168
-
-
0012153097
-
An effective algorithm for minimization
-
A.A. Goldstein and J.F. Price. An effective algorithm for minimization. Numerische Mathematik, 10:184-189, 1967.
-
(1967)
Numerische Mathematik
, vol.10
, pp. 184-189
-
-
Goldstein, A.A.1
Price, J.F.2
-
170
-
-
0004236492
-
-
(second edition). The Johns Hopkins University Press, Baltimore, Maryland
-
G.H. Golub and C.F. Van Loan. Matrix Computations (second edition). The Johns Hopkins University Press, Baltimore, Maryland, 1989.
-
(1989)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
171
-
-
0025517301
-
Polynomial affine algorithms for linear programming
-
C.C. Gonzaga. Polynomial affine algorithms for linear programming. Math. Programming, 49:7-21, 1990.
-
(1990)
Math. Programming
, vol.49
, pp. 7-21
-
-
Gonzaga, C.C.1
-
172
-
-
0026876871
-
Path following methods for linear programming
-
C.C. Gonzaga. Path following methods for linear programming. SIAM Review, 34:167-227, 1992.
-
(1992)
SIAM Review
, vol.34
, pp. 167-227
-
-
Gonzaga, C.C.1
-
173
-
-
84892874853
-
A simple presentation of Karmarkar's algorithm
-
Budapest
-
C.C. Gonzaga. A simple presentation of Karmarkar's algorithm. In Workshop on interior point methods, Budapest, 1993.
-
(1993)
Workshop on Interior Point Methods
-
-
Gonzaga, C.C.1
-
174
-
-
0039924840
-
The largest step path following algorithm for monotone linear complementarity problems
-
C.C. Gonzaga. The largest step path following algorithm for monotone linear complementarity problems. Mathematical Programming, 76:309-332, 1997.
-
(1997)
Mathematical Programming
, vol.76
, pp. 309-332
-
-
Gonzaga, C.C.1
-
175
-
-
0041545415
-
Fast convergence of the simpliéd largest step path following algorithm
-
C.C. Gonzaga and J.F. Bonnans. Fast convergence of the simpliéd largest step path following algorithm. Mathematical Programming series B, 76:95-115, 1997.
-
(1997)
Mathematical Programming Series B
, vol.76
, pp. 95-115
-
-
Gonzaga, C.C.1
Bonnans, J.F.2
-
176
-
-
0031542596
-
On the convergence of the Mizuno-Todd-Ye algorithm to the analytic center of the solution set
-
C.C. Gonzaga and R.A. Tapia. On the convergence of the Mizuno-Todd-Ye algorithm to the analytic center of the solution set. SIAM J. Optimization, 7:47-65, 1997.
-
(1997)
SIAM J. Optimization
, vol.7
, pp. 47-65
-
-
Gonzaga, C.C.1
Tapia, R.A.2
-
177
-
-
0022162497
-
Newton's method for constrained optimization
-
J. Goodman. Newton's method for constrained optimization. Mathematical Programming, 33:162-171, 1985.
-
(1985)
Mathematical Programming
, vol.33
, pp. 162-171
-
-
Goodman, J.1
-
178
-
-
19844363263
-
Numerical methods for large-scale nonlinear optimization
-
Cambridge University Press
-
N. Gould, D. Orban, and Ph.L. Toint. Numerical methods for large-scale nonlinear optimization. In Acta Numerica 2005, pages 299-361. Cambridge University Press, 2005.
-
(2005)
Acta Numerica 2005
, pp. 299-361
-
-
Gould, N.1
Orban, D.2
Toint, Ph.L.3
-
179
-
-
0022061431
-
On practical conditions for the existence and uniqueness of solutions to the general equality quadratic programming problem
-
N.I.M. Gould. On practical conditions for the existence and uniqueness of solutions to the general equality quadratic programming problem. Mathematical Programming, 32:90-99, 1985.
-
(1985)
Mathematical Programming
, vol.32
, pp. 90-99
-
-
Gould, N.I.M.1
-
182
-
-
0042956931
-
Local convergence of a two-piece update of a projected Hessian matrix
-
C.B. Gurwitz. Local convergence of a two-piece update of a projected Hessian matrix. SIAM Journal on Optimization, 4:461-485, 1994.
-
(1994)
SIAM Journal on Optimization
, vol.4
, pp. 461-485
-
-
Gurwitz, C.B.1
-
184
-
-
0000373474
-
Superlinearly convergent variable metric algorithms for general nonlinear programming problems
-
S.-P. Han. Superlinearly convergent variable metric algorithms for general nonlinear programming problems. Mathematical Programming, 11:263-282, 1976.
-
(1976)
Mathematical Programming
, vol.11
, pp. 263-282
-
-
Han, S.-P.1
-
185
-
-
34250293137
-
A globally convergent method for nonlinear programming
-
S.-P. Han. A globally convergent method for nonlinear programming. Journal of Optimization Theory and Applications, 22:297-309, 1977.
-
(1977)
Journal of Optimization Theory and Applications
, vol.22
, pp. 297-309
-
-
Han, S.-P.1
-
186
-
-
34250270048
-
Exact penalty functions in nonlinear programming
-
S.-P. Han and O.L. Mangasarian. Exact penalty functions in nonlinear programming. Mathematical Programming, 17:251-269, 1979.
-
(1979)
Mathematical Programming
, vol.17
, pp. 251-269
-
-
Han, S.-P.1
Mangasarian, O.L.2
-
188
-
-
34250461535
-
The traveling salesman problem and minimum spanning trees: Part II
-
M. Held and R. Karp. The traveling salesman problem and minimum spanning trees: Part II. Mathematical Programming, 1(1):6-25, 1971.
-
(1971)
Mathematical Programming
, vol.1
, Issue.1
, pp. 6-25
-
-
Held, M.1
Karp, R.2
-
189
-
-
0002006199
-
A view on nonlinear optimization
-
J. Herskovits, editor, Kluwer Academic Publishers
-
J. Herskovits. A view on nonlinear optimization. In J. Herskovits, editor, Advances in Structural Optimization, pages 71-116. Kluwer Academic Publishers, 1995.
-
(1995)
Advances in Structural Optimization
, pp. 71-116
-
-
Herskovits, J.1
-
190
-
-
0032334030
-
Feasible direction interior-point technique for nonlinear optimization
-
J. Herskovits. Feasible direction interior-point technique for nonlinear optimization. Journal of Optimization Theory and Applications, 99:121-146, 1998.
-
(1998)
Journal of Optimization Theory and Applications
, vol.99
, pp. 121-146
-
-
Herskovits, J.1
-
196
-
-
0038032110
-
-
Springer-Verlag, Berlin, 2001. Abridged version of Convex analysis and minimization algorithms. I and II [Springer, Berlin]
-
J.-B. Hiriart-Urruty and C. Lemaréchal. Fundamentals of Convex Analysis. Springer-Verlag, Berlin, 2001. Abridged version of Convex analysis and minimization algorithms. I and II [Springer, Berlin, 1993].
-
(1993)
Fundamentals of Convex Analysis
-
-
Hiriart-Urruty, J.-B.1
Lemaréchal, C.2
-
197
-
-
0011376357
-
Variants of the reduced Newton method for nonlinear equality constrained optimization problems
-
W. Hoyer. Variants of the reduced Newton method for nonlinear equality constrained optimization problems. Optimization, 17:757-774, 1986.
-
(1986)
Optimization
, vol.17
, pp. 757-774
-
-
Hoyer, W.1
-
198
-
-
0018441517
-
Necessary and suffcient conditions for a local minimum. 1: A reduction theorem and first order conditions
-
A.D. Ioé. Necessary and suffcient conditions for a local minimum. 1: a reduction theorem and first order conditions. SIAM Journal on Control and Optimization, 17:245-250, 1979.
-
(1979)
SIAM Journal on Control and Optimization
, vol.17
, pp. 245-250
-
-
Ioé, A.D.1
-
199
-
-
0041689097
-
The theory of linear programming: Skew symmetric self-dual problems and the central path
-
B. Jansen, C. Roos, and T. Terlaky. The theory of linear programming: skew symmetric self-dual problems and the central path. Optimization, 29:225-233, 1994.
-
(1994)
Optimization
, vol.29
, pp. 225-233
-
-
Jansen, B.1
Roos, C.2
Terlaky, T.3
-
200
-
-
77957821624
-
Global optimization
-
G.L. Nemhauser, A.H.G. Rinnooy Kan, and M.J. Todd, editors, Optimization, chapter 9, Elsevier Science Publishers B.V., North-Holland
-
A.H.G. Rinnooy Kan and G.T. Timmer. Global optimization. In G.L. Nemhauser, A.H.G. Rinnooy Kan, and M.J. Todd, editors, Handbooks in Operations Research and Management Science, volume 1: Optimization, chapter 9, pages 631-662. Elsevier Science Publishers B.V., North-Holland, 1989.
-
(1989)
Handbooks in Operations Research and Management Science
, vol.1
, pp. 631-662
-
-
Rinnooy Kan, A.H.G.1
Timmer, G.T.2
-
201
-
-
0039544410
-
A modiéd Newton's method for unconstrained minimization
-
S. Kaniel and A. Dax. A modiéd Newton's method for unconstrained minimization. SIAM Journal on Numerical Analysis, 16:324-331, 1979.
-
(1979)
SIAM Journal on Numerical Analysis
, vol.16
, pp. 324-331
-
-
Kaniel, S.1
Dax, A.2
-
203
-
-
84892900251
-
A bundle-filter method for nonsmooth convex constrained optimization
-
Accepted for publication
-
E. Karas, A. Ribeiro, C. Sagastizábal, and M.V. Solodov. A bundle-filter method for nonsmooth convex constrained optimization. Math. Program. Ser. B, 2006. Accepted for publication.
-
(2006)
Math. Program. Ser. B
-
-
Karas, E.1
Ribeiro, A.2
Sagastizábal, C.3
Solodov, M.V.4
-
204
-
-
51249181779
-
A new polynomial time algorithm for linear programming
-
N. Karmarkar. A new polynomial time algorithm for linear programming. Combinatorica, 4:373-395, 1984.
-
(1984)
Combinatorica
, vol.4
, pp. 373-395
-
-
Karmarkar, N.1
-
205
-
-
0001547779
-
The cutting plane method for solving convex programs
-
J. E. Kelley. The cutting plane method for solving convex programs. J. Soc. Indust. Appl. Math., 8:703-712, 1960.
-
(1960)
J. Soc. Indust. Appl. Math.
, vol.8
, pp. 703-712
-
-
Kelley, J.E.1
-
206
-
-
0000564361
-
A polynomial algorithm in linear programming
-
L. Khachian. A polynomial algorithm in linear programming. Soviet Mathematics Doklady, 20:191-194, 1979.
-
(1979)
Soviet Mathematics Doklady
, vol.20
, pp. 191-194
-
-
Khachian, L.1
-
207
-
-
0000564361
-
A polynomial algorithm in linear programming
-
L.G. Khachiyan. A polynomial algorithm in linear programming. Doklady Adad. Nauk SSSR, 244:1093-1096, 1979.
-
(1979)
Doklady Adad. Nauk SSSR
, vol.244
, pp. 1093-1096
-
-
Khachiyan, L.G.1
-
210
-
-
0000135467
-
An exact penalty function algorithm for nonsmooth convex constrained minimization problems
-
K.C. Kiwiel. An exact penalty function algorithm for nonsmooth convex
-
(1985)
IMA J. Numer. Anal.
, vol.5
, Issue.1
, pp. 111-119
-
-
Kiwiel, K.C.1
-
211
-
-
0003296464
-
Methods of descent for nondifferentiable optimization
-
Springer Verlag, Berlin
-
K.C. Kiwiel. Methods of Descent for Nondifferentiable Optimization. Lecture Notes in Mathematics 1133. Springer Verlag, Berlin, 1985.
-
(1985)
Lecture Notes in Mathematics
, vol.1133
-
-
Kiwiel, K.C.1
-
212
-
-
0000695140
-
A constraint linearization method for nondifferentiable convex minimization
-
K.C. Kiwiel. A constraint linearization method for nondifferentiable convex minimization. Numerische Mathematik, 51:395-414, 1987.
-
(1987)
Numerische Mathematik
, vol.51
, pp. 395-414
-
-
Kiwiel, K.C.1
-
213
-
-
0023578135
-
A subgradient selection method for minimizing convex functions subject to linear constraints
-
K.C. Kiwiel. A subgradient selection method for minimizing convex functions subject to linear constraints. Computing, 39(4):293-305, 1987.
-
(1987)
Computing
, vol.39
, Issue.4
, pp. 293-305
-
-
Kiwiel, K.C.1
-
214
-
-
0025208765
-
Proximity control in bundle methods for convex nondifferentiable minimization
-
K.C. Kiwiel. Proximity control in bundle methods for convex nondifferentiable minimization. Mathematical Programming, 46(1):105-122, 1990.
-
(1990)
Mathematical Programming
, vol.46
, Issue.1
, pp. 105-122
-
-
Kiwiel, K.C.1
-
215
-
-
34249923238
-
Exact penalty functions in proximal bundle methods for constrained convex nondifferentiable minimization
-
Ser. B
-
K.C. Kiwiel. Exact penalty functions in proximal bundle methods for constrained convex nondifferentiable minimization. Math. Programming, 52(2, Ser. B):285-302, 1991.
-
(1991)
Math. Programming
, vol.52
, Issue.2
, pp. 285-302
-
-
Kiwiel, K.C.1
-
216
-
-
0033077459
-
The efficiency of ballstep subgradient level methods for convex optimization
-
K.C. Kiwiel, T. Larsson, and P.O. Lindberg. The efficiency of ballstep subgradient level methods for convex optimization. Mathematics of Operations Research, 24(1):237-254, 1999.
-
(1999)
Mathematics of Operations Research
, vol.24
, Issue.1
, pp. 237-254
-
-
Kiwiel, K.C.1
Larsson, T.2
Lindberg, P.O.3
-
217
-
-
0001849163
-
How good is the simplex algorithm ?
-
O Shisha, editor, Academic Press, New York
-
V. Klee and G.L. Minty. How good is the simplex algorithm ? In O. Shisha, editor, Inequalities III, pages 159-175. Academic Press, New York, 1972.
-
(1972)
Inequalities
, vol.3
, pp. 159-175
-
-
Klee, V.1
Minty, G.L.2
-
218
-
-
0003783955
-
-
Number 538 in Lecture Notes in Computer Science. Springer Verlag, Berlin
-
M. Kojima, N. Megiddo, T. Noma, and A. Yoshise. A uniéd approach to interior point algorithms for linear complementarity problems. Number 538 in Lecture Notes in Computer Science. Springer Verlag, Berlin, 1991.
-
(1991)
A Uniéd Approach to Interior Point Algorithms for Linear Complementarity Problems.
-
-
Kojima, M.1
Megiddo, N.2
Noma, T.3
Yoshise, A.4
-
219
-
-
84989757499
-
New purification algorithms for linear programming
-
K. Kortanek and Z. Jishan. New purification algorithms for linear programming. Naval Research Logistics, 35:571-583, 1988.
-
(1988)
Naval Research Logistics
, vol.35
, pp. 571-583
-
-
Kortanek, K.1
Jishan, Z.2
-
220
-
-
0030304773
-
An infinite-dimensional convergence theory for reduced SQP methods in Hilbert space
-
F.-S. Kupfer. An infinite-dimensional convergence theory for reduced SQP methods in Hilbert space. SIAM Journal on Optimization, 6:126-163, 1996.
-
(1996)
SIAM Journal on Optimization
, vol.6
, pp. 126-163
-
-
Kupfer, F.-S.1
-
221
-
-
0022076983
-
On uniqueness of Kuhn-Tucker multipliers in nonlinear programming
-
J. Kyparisis. On uniqueness of Kuhn-Tucker multipliers in nonlinear programming. Mathematical Programming, 32:242-246, 1985.
-
(1985)
Mathematical Programming
, vol.32
, pp. 242-246
-
-
Kyparisis, J.1
-
223
-
-
0030408634
-
Nonlinear equality constraints in feasible sequential quadratic programming
-
C.T. Lawrence and A.L. Tits. Nonlinear equality constraints in feasible sequential quadratic programming. Optimization Methods and Software, 6:265-282, 1996.
-
(1996)
Optimization Methods and Software
, vol.6
, pp. 265-282
-
-
Lawrence, C.T.1
Tits, A.L.2
-
224
-
-
0040788839
-
Feasible sequential quadratic programming for finely discretized problems from SIP
-
R. Reemtsen and J.-J. Rückmann, editors, Kluwer Academic Publishers B.V.
-
C.T. Lawrence and A.L. Tits. Feasible sequential quadratic programming for finely discretized problems from SIP. In R. Reemtsen and J.-J. Rückmann, editors, Semi-infinite Programming, pages 159-193. Kluwer Academic Publishers B.V., 1998.
-
(1998)
Semi-infinite Programming
, pp. 159-193
-
-
Lawrence, C.T.1
Tits, A.L.2
-
225
-
-
0035600660
-
A computationally efficient feasible sequential quadratic programming algorithm
-
C.T. Lawrence and A.L. Tits. A computationally efficient feasible sequential quadratic programming algorithm. SIAM Journal on Optimization, 11:1092-1118, 2001.
-
(2001)
SIAM Journal on Optimization
, vol.11
, pp. 1092-1118
-
-
Lawrence, C.T.1
Tits, A.L.2
-
226
-
-
0343192198
-
Inexact SQP interior point methods and large scale optimal control problems
-
F. Leibfritz and E.W. Sachs. Inexact SQP interior point methods and large scale optimal control problems. SIAM Journal on Optimization, 38:272-293, 1999.
-
(1999)
SIAM Journal on Optimization
, vol.38
, pp. 272-293
-
-
Leibfritz, F.1
Sachs, E.W.2
-
227
-
-
0344362809
-
An algorithm for minimizing convex functions
-
J. L. Rosenfeld, editor, North Holland
-
C. Lemaréchal. An algorithm for minimizing convex functions. In J.L. Rosenfeld, editor, Information Processing '74, pages 552-556. North Holland, 1974.
-
(1974)
Information Processing '74
, pp. 552-556
-
-
Lemaréchal, C.1
-
228
-
-
0016597848
-
An extension of Davidon methods to nondifferentiable problems
-
C. Lemaréchal. An extension of Davidon methods to nondifferentiable problems. Mathematical Programming Study, 3:95-109, 1975.
-
(1975)
Mathematical Programming Study
, vol.3
, pp. 95-109
-
-
Lemaréchal, C.1
-
229
-
-
0010903177
-
A view of line-searches
-
A. Auslender, W. Oettli, and J. Stoer, editors, number 30 in Lecture Notes in Control and Information Science, Springer-Verlag, Heidelberg
-
C. Lemaréchal. A view of line-searches. In A. Auslender, W. Oettli, and J. Stoer, editors, Optimization and Optimal Control, number 30 in Lecture Notes in Control and Information Science, pages 59-78. Springer-Verlag, Heidelberg, 1981.
-
(1981)
Optimization and Optimal Control
, pp. 59-78
-
-
Lemaréchal, C.1
-
230
-
-
0020301983
-
Global and superlinear convergence of an algorithm for one-dimensional minimzation of convex functions
-
C. Lemaréchal and R. Mifflin. Global and superlinear convergence of an algorithm for one-dimensional minimzation of convex functions. Mathematical Programming, 24:241-256, 1982.
-
(1982)
Mathematical Programming
, vol.24
, pp. 241-256
-
-
Lemaréchal, C.1
Mifflin, R.2
-
232
-
-
0039727262
-
The U-Lagrangian of a convex function
-
C. Lemaréchal, F. Oustry, and C. Sagastizábal. The U-Lagrangian of a convex function. Transactions of the AMS, 352(2):711-729, 2000.
-
(2000)
Transactions of the AMS
, vol.352
, Issue.2
, pp. 711-729
-
-
Lemaréchal, C.1
Oustry, F.2
Sagastizábal, C.3
-
233
-
-
0003303203
-
Bundle methods applied to the unit-commitment problem
-
J. Dolezal and J. Fidler, editors, Chapman and Hall
-
C. Lemaréchal, F. Pellegrino, A. Renaud, and C. Sagastizábal. Bundle methods applied to the unit-commitment problem. In J. Dolezal and J. Fidler, editors, System Modelling and Optimization, pages 395-402. Chapman and Hall, 1996.
-
(1996)
System Modelling and Optimization
, pp. 395-402
-
-
Lemaréchal, C.1
Pellegrino, F.2
Renaud, A.3
Sagastizábal, C.4
-
234
-
-
0000525522
-
An approach to variable metric bundle methods
-
J. Henry and J-P. Yvon, editors, number 197 in Lecture Notes in Control and Information Sciences, Springer Verlag
-
C. Lemaréchal and C. Sagastizábal. An approach to variable metric bundle methods. In J. Henry and J-P. Yvon, editors, Systems Modelling and Optimization, number 197 in Lecture Notes in Control and Information Sciences, pages 144-162. Springer Verlag, 1994.
-
(1994)
Systems Modelling and Optimization
, pp. 144-162
-
-
Lemaréchal, C.1
Sagastizábal, C.2
-
235
-
-
21744439259
-
More than first-order developments of convex functions: Primal-dual relations
-
C. Lemaréchal and C. Sagastizábal. More than first-order developments of convex functions: primal-dual relations. Journal of Convex Analysis, 3(2):1-14, 1996.
-
(1996)
Journal of Convex Analysis
, vol.3
, Issue.2
, pp. 1-14
-
-
Lemaréchal, C.1
Sagastizábal, C.2
-
236
-
-
0040165092
-
Practical aspects of the Moreau-Yosida regularization: Theoretical preliminaries
-
C. Lemaréchal and C. Sagastizábal. Practical aspects of the Moreau-Yosida regularization: theoretical preliminaries. SIAM Journal on Optimization, 7(2):367-385, 1997.
-
(1997)
SIAM Journal on Optimization
, vol.7
, Issue.2
, pp. 367-385
-
-
Lemaréchal, C.1
Sagastizábal, C.2
-
237
-
-
0000275440
-
Variable metric bundle methods: From conceptual to implementable forms
-
C. Lemaréchal and C. Sagastizábal. Variable metric bundle methods: from conceptual to implementable forms. Mathematical Programming, 76(3):393-410, 1997.
-
(1997)
Mathematical Programming
, vol.76
, Issue.3
, pp. 393-410
-
-
Lemaréchal, C.1
Sagastizábal, C.2
-
238
-
-
0000873069
-
A method for the solution of certain nonlinear problems in least squares
-
K. Levenberg. A method for the solution of certain nonlinear problems in least squares. Quart. Appl. Math., 2:164-168, 1944.
-
(1944)
Quart. Appl. Math.
, vol.2
, pp. 164-168
-
-
Levenberg, K.1
-
239
-
-
33646887390
-
On the limited memory BFGS method for large scale optimization
-
D.C. Liu and J. Nocedal. On the limited memory BFGS method for large scale optimization. Mathematical Programming, 45:503-520, 1989.
-
(1989)
Mathematical Programming
, vol.45
, pp. 503-520
-
-
Liu, D.C.1
Nocedal, J.2
-
241
-
-
0002450587
-
A bundle-Newton method for nonsmooth unconstrained minimization
-
Ser. A
-
L. Lukšan and J. Vlček. A bundle-Newton method for nonsmooth unconstrained minimization. Math. Programming, 83(3, Ser. A):373-391, 1998.
-
(1998)
Math. Programming
, vol.83
, Issue.3
, pp. 373-391
-
-
Lukšan, L.1
Vlček, J.2
-
242
-
-
0033245906
-
Globally convergent variable metric method for convex nonsmooth unconstrained minimization
-
L. Lukšan and J. Vlček. Globally convergent variable metric method for convex nonsmooth unconstrained minimization. J. Optim. Theory Appl., 102(3):593-613, 1999.
-
(1999)
J. Optim. Theory Appl.
, vol.102
, Issue.3
, pp. 593-613
-
-
Lukšan, L.1
Vlček, J.2
-
244
-
-
0000515085
-
Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations
-
Y. Maday, D. Meiron, A.T. Patera, and E.M. Ronquist. Analysis of iterative methods for the steady and unsteady Stokes problem: application to spectral element discretizations. SIAM Journal on Scientific Computing, 14:310-337, 1993.
-
(1993)
SIAM Journal on Scientific Computing
, vol.14
, pp. 310-337
-
-
Maday, Y.1
Meiron, D.2
Patera, A.T.3
Ronquist, E.M.4
-
245
-
-
38249027222
-
Restricted quadratic forms, inertia theorems, and the Schur complement
-
J.H. Maddocks. Restricted quadratic forms, inertia theorems, and the Schur complement. Linear Algebra and its Applications, 108:1-36, 1988.
-
(1988)
Linear Algebra and Its Applications
, vol.108
, pp. 1-36
-
-
Maddocks, J.H.1
-
246
-
-
0000860796
-
Proximal decomposition on the graph of a maximal monotone operator
-
Ph. Mahey, S. Oualibouch, and Pham Dinh Tao. Proximal decomposition on the graph of a maximal monotone operator. SIAM J. Optim., 5(2):454-466, 1995.
-
(1995)
SIAM J. Optim.
, vol.5
, Issue.2
, pp. 454-466
-
-
Mahey, Ph.1
Oualibouch, S.2
Tao, P.D.3
-
247
-
-
49949133603
-
The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
-
O.L. Mangasarian and S. Fromovitz. The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. Journal of Mathematical Analysis and Applications, 17:37-47, 1967.
-
(1967)
Journal of Mathematical Analysis and Applications
, vol.17
, pp. 37-47
-
-
Mangasarian, O.L.1
Fromovitz, S.2
-
249
-
-
0000169232
-
An algorithm for least-squares estimation of nonlinear parameters
-
D.W. Marquardt. An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Indust. Appl. Math., 11:431-441, 1963.
-
(1963)
J. Soc. Indust. Appl. Math.
, vol.11
, pp. 431-441
-
-
Marquardt, D.W.1
-
251
-
-
0002897657
-
A superlinearly convergent algorithm for constrained optimization problems
-
D.Q. Mayne and E. Polak. A superlinearly convergent algorithm for constrained optimization problems. Mathematical Programming Study, 16:45-61, 1982.
-
(1982)
Mathematical Programming Study
, vol.16
, pp. 45-61
-
-
Mayne, D.Q.1
Polak, E.2
-
252
-
-
0039551546
-
A superlinearly convergent O(pnL) iteration interior-point algorithms for linear programming and the monotone linear complementarity problem
-
K.A. McShane. A superlinearly convergent O(pnL) iteration interior-point algorithms for linear programming and the monotone linear complementarity problem. SIAM J. Optimization, 4:247-261, 1994.
-
(1994)
SIAM J. Optimization
, vol.4
, pp. 247-261
-
-
McShane, K.A.1
-
255
-
-
0003108675
-
A modification and an extension of Lemaréchal's algorithm for nonsmooth minimization
-
R. Mifflin. A modification and an extension of Lemaréchal's algorithm for nonsmooth minimization. Mathematical Programming Study, 17:77-90, 1982.
-
(1982)
Mathematical Programming Study
, vol.17
, pp. 77-90
-
-
Mifflin, R.1
-
256
-
-
0001844687
-
A quasi-second-order proximal bundle algorithm
-
R. Mifflin. A quasi-second-order proximal bundle algorithm. Mathematical Programming, 73(1):51-72, 1996.
-
(1996)
Mathematical Programming
, vol.73
, Issue.1
, pp. 51-72
-
-
Mifflin, R.1
-
258
-
-
0242679716
-
Primal-Dual Gradient Structured Functions: Second-order results; Links to epi-derivatives and partly smooth functions
-
R. Mifflin and C. Sagastizábal. Primal-Dual Gradient Structured Functions: second-order results; links to epi-derivatives and partly smooth functions. SIAM Journal on Optimization, 13(4):1174-1194, 2003.
-
(2003)
SIAM Journal on Optimization
, vol.13
, Issue.4
, pp. 1174-1194
-
-
Mifflin, R.1
Sagastizábal, C.2
-
259
-
-
27244442224
-
A VU-proximal point algorithm for minimization
-
R. Mifflin and C. Sagastizábal. A VU-proximal point algorithm for minimization. Math. Program., 104(2-3):583-608, 2005.
-
(2005)
Math. Program.
, vol.104
, Issue.2-3
, pp. 583-608
-
-
Mifflin, R.1
Sagastizábal, C.2
-
260
-
-
0032222087
-
Quasi-Newton bundle-type methods for nondifferentiable convex optimization
-
R. Mifflin, D.F. Sun, and L.Q. Qi. Quasi-Newton bundle-type methods for nondifferentiable convex optimization. SIAM Journal on Optimization, 8(2):583-603, 1998.
-
(1998)
SIAM Journal on Optimization
, vol.8
, Issue.2
, pp. 583-603
-
-
Mifflin, R.1
Sun, D.F.2
Qi, L.Q.3
-
261
-
-
0027110814
-
A new polynomial time method for a linear complementarity problem
-
S. Mizuno. A new polynomial time method for a linear complementarity problem. Mathematical Programming, 56:31-43, 1992.
-
(1992)
Mathematical Programming
, vol.56
, pp. 31-43
-
-
Mizuno, S.1
-
262
-
-
0030134078
-
A superlinearly convergent infeasible-interior-point algorithm for geometrical LCPs without a strictly complementary condition
-
S. Mizuno. A superlinearly convergent infeasible-interior-point algorithm for geometrical LCPs without a strictly complementary condition. Mathematics of Operations Research, 21:382-400, 1996.
-
(1996)
Mathematics of Operations Research
, vol.21
, pp. 382-400
-
-
Mizuno, S.1
-
263
-
-
0030150291
-
A uniéd approach to infeasible-interiorpoint algorithms via geometrical linear complementarity problems
-
S. Mizuno, F. Jarre, and J. Stoer. A uniéd approach to infeasible-interiorpoint algorithms via geometrical linear complementarity problems. J. Applied Mathematics and Optimization, 33:315-341, 1994.
-
(1994)
J. Applied Mathematics and Optimization
, vol.33
, pp. 315-341
-
-
Mizuno, S.1
Jarre, F.2
Stoer, J.3
-
264
-
-
0000836925
-
On adaptative step primal-dual interiorpoint algorithms for linear programming
-
S. Mizuno, M.J. Todd, and Y. Ye. On adaptative step primal-dual interiorpoint algorithms for linear programming. Mathematics of Operations Research, 18:964-981, 1993.
-
(1993)
Mathematics of Operations Research
, vol.18
, pp. 964-981
-
-
Mizuno, S.1
Todd, M.J.2
Ye, Y.3
-
265
-
-
0030282488
-
Limiting behavior of the derivatives of certain trajectories associated with a monotone horizontal linear complementarity problem
-
R.D.C. Monteiro and T. Tsuchiya. Limiting behavior of the derivatives of certain trajectories associated with a monotone horizontal linear complementarity problem. Mathematics of Operations Research, 21:793-814, 1996.
-
(1996)
Mathematics of Operations Research
, vol.21
, pp. 793-814
-
-
Monteiro, R.D.C.1
Tsuchiya, T.2
-
266
-
-
0003162836
-
Recent developments in algorithms and software for trust region methods
-
In A. Bachem M. Grötschel, and B. Korte, editors,. Springer-Verlag, Berlin
-
J.J. Moré. Recent developments in algorithms and software for trust region methods. In A. Bachem, M. Grötschel, and B. Korte, editors, Mathematical Programming, the State of the Art, pages 258-287. Springer-Verlag, Berlin, 1983.
-
(1983)
Mathematical Programming, the State of the Art
, pp. 258-287
-
-
Moré, J.J.1
-
268
-
-
34249966957
-
Algorithms for bound constrained quadratic programming problems
-
J.J. Moré and G. Toraldo. Algorithms for bound constrained quadratic programming problems. Numerische Mathematik, 55:377-400, 1989.
-
(1989)
Numerische Mathematik
, vol.55
, pp. 377-400
-
-
Moré, J.J.1
Toraldo, G.2
-
269
-
-
0003714659
-
-
of Frontiers in Applied Mathematics SIAM Publications
-
J.J. Moré and S.J. Wright, editors. Optimization Software Guide, volume 14 of Frontiers in Applied Mathematics. SIAM Publications, 1993.
-
(1993)
Optimization Software Guide
, vol.14
-
-
Moré, J.J.1
Wright, S.J.2
-
271
-
-
0018704971
-
Steplength algorithms for minimizing a class of nondifferentiable functions
-
W. Murray and M. L. Overton. Steplength algorithms for minimizing a class of nondifferentiable functions. Computing, 23(4):309-331, 1979.
-
(1979)
Computing
, vol.23
, Issue.4
, pp. 309-331
-
-
Murray, W.1
Overton, M.L.2
-
272
-
-
0000380269
-
A sequential quadratic programming algorithm using an incomplete solution of the subproblem
-
W. Murray and F.J. Prieto. A sequential quadratic programming algorithm using an incomplete solution of the subproblem. SIAM Journal on Optimization, 5:590-640, 1995.
-
(1995)
SIAM Journal on Optimization
, vol.5
, pp. 590-640
-
-
Murray, W.1
Prieto, F.J.2
-
273
-
-
0010834258
-
Projected Lagrangian methods based on the trajectories of penalty and barrier functions
-
Department of Operations Research Stanford University, Stanford, CA 94305
-
W. Murray and M.H. Wright. Projected Lagrangian methods based on the trajectories of penalty and barrier functions. Technical Report SOL-78-23, Department of Operations Research, Stanford University, Stanford, CA 94305, 1978.
-
(1978)
Technical Report SOL-78-23
-
-
Murray, W.1
Wright, M.H.2
-
277
-
-
84966262179
-
Updating quasi-newton matrices with limited storage
-
J. Nocedal. Updating quasi-Newton matrices with limited storage. Mathematics of Computation, 35:773-782, 1980.
-
(1980)
Mathematics of Computation
, vol.35
, pp. 773-782
-
-
Nocedal, J.1
-
278
-
-
0022145863
-
Projected hessian updating algorithms for nonlinearly constrained optimization
-
J. Nocedal and M.L. Overton. Projected Hessian updating algorithms for nonlinearly constrained optimization. SIAM Journal on Numerical Analysis, 22:821-850, 1985.
-
(1985)
SIAM Journal on Numerical Analysis
, vol.22
, pp. 821-850
-
-
Nocedal, J.1
Overton, M.L.2
-
279
-
-
0003982971
-
-
Springer Series in Operations Research. Springer New York
-
J. Nocedal and S.J. Wright. Numerical Optimization. Springer Series in Operations Research. Springer, New York, 1999.
-
(1999)
Numerical Optimization
-
-
Nocedal, J.1
Wright, S.J.2
-
281
-
-
6344266139
-
Epsilon-proximal decomposition method
-
A. Ouorou. Epsilon-proximal decomposition method. Math. Program., 99(1, Ser. A):89-108, 2004.
-
(2004)
Math. Program.
, vol.99
, Issue.1 SER. A
, pp. 89-108
-
-
Ouorou, A.1
-
282
-
-
0016987048
-
Superlinear convergent quasi-Newton algorithms for nonlinearly constrained optimization problems
-
U.M. Garcia Palomares and O.L. Mangasarian. Superlinear convergent quasi-Newton algorithms for nonlinearly constrained optimization problems. Mathematical Programming, 11:1-13, 1976.
-
(1976)
Mathematical Programming
, vol.11
, pp. 1-13
-
-
Garcia Palomares, U.M.1
Mangasarian, O.L.2
-
283
-
-
0026205566
-
Avoiding the Maratos effect by means of a nonmonotone line search I: General constrained problems
-
E.R. Panier and A.L. Tits. Avoiding the Maratos effect by means of a nonmonotone line search I: General constrained problems. SIAM Journal on Numerical Analysis, 28:1183-1195, 1991.
-
(1991)
SIAM Journal on Numerical Analysis
, vol.28
, pp. 1183-1195
-
-
Panier, E.R.1
Tits, A.L.2
-
284
-
-
19444362308
-
On combining feasibility, descent and superlinear convergence in inequality constrained optimization
-
E.R. Panier and A.L. Tits. On combining feasibility, descent and superlinear convergence in inequality constrained optimization. Mathematical Programming, 59(2):261-276, 1993.
-
(1993)
Mathematical Programming
, vol.59
, Issue.2
, pp. 261-276
-
-
Panier, E.R.1
Tits, A.L.2
-
285
-
-
0024036003
-
A QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization
-
E.R. Panier, A.L. Tits, and J. Herskovits. A QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization. SIAM Journal on Control and Optimization, 26:788-811, 1988.
-
(1988)
SIAM Journal on Control and Optimization
, vol.26
, pp. 788-811
-
-
Panier, E.R.1
Tits, A.L.2
Herskovits, J.3
-
286
-
-
0001852780
-
An exact potential method for constrained maxima
-
T. Pietrzykowski. An exact potential method for constrained maxima. SIAM Journal on Numerical Analysis, 6:299-304, 1969.
-
(1969)
SIAM Journal on Numerical Analysis
, vol.6
, pp. 299-304
-
-
Pietrzykowski, T.1
-
287
-
-
0003322639
-
Optimization-algorithms and consistent approximations
-
Springer
-
E. Polak. Optimization-Algorithms and Consistent Approximations. Number 124 in Applied Mathematical Sciences. Springer, 1997.
-
(1997)
Applied Mathematical Sciences
, Issue.124
-
-
Polak, E.1
-
288
-
-
0003306861
-
Introduction to optimization
-
New York
-
B.T. Polyak. Introduction to Optimization. Optimization Software, New York, 1987.
-
(1987)
Optimization Software
-
-
Polyak, B.T.1
-
289
-
-
0039069194
-
An O(nL) infeasible-interior-point algorithm for LCP with quadratic convergence
-
F.A. Potra. An O(nL) infeasible-interior-point algorithm for LCP with quadratic convergence. Annals of Operations Research, 62:81-102, 1996.
-
(1996)
Annals of Operations Research
, vol.62
, pp. 81-102
-
-
Potra, F.A.1
-
290
-
-
0002380692
-
A method for nonlinear constraints in minimization problems
-
In R. Fletcher, editor, Academic Press, London, New York
-
M.J.D. Powell. A method for nonlinear constraints in minimization problems. In R. Fletcher, editor, Optimization, pages 283-298. Academic Press, London, New York, 1969.
-
(1969)
Optimization
, pp. 283-298
-
-
Powell, M.J.D.1
-
292
-
-
0002855438
-
Some global convergence properties of a variable metric algorithm for minimization without exact line searches
-
In R.W. Cottle and C.E. Lemke, editors, in SIAM-AMS Proceedings. American Mathematical Society, Providence, RI
-
M.J.D. Powell. Some global convergence properties of a variable metric algorithm for minimization without exact line searches. In R.W. Cottle and C.E. Lemke, editors, Nonlinear Programming, number 9 in SIAM-AMS Proceedings. American Mathematical Society, Providence, RI, 1976.
-
(1976)
Nonlinear Programming
, Issue.9
-
-
Powell, M.J.D.1
-
293
-
-
0000406419
-
Algorithms for nonlinear constraints that use Lagrangian functions
-
M.J.D. Powell. Algorithms for nonlinear constraints that use Lagrangian functions. Mathematical Programming, 14:224-248, 1978.
-
(1978)
Mathematical Programming
, vol.14
, pp. 224-248
-
-
Powell, M.J.D.1
-
294
-
-
0002336269
-
The convergence of variable metric methods for nonlinearly constrained optimization calculations
-
In O. L. Mangasarian, R.R. Meyer, and S.M. Robinson, editors
-
M.J.D. Powell. The convergence of variable metric methods for nonlinearly constrained optimization calculations. In O.L. Mangasarian, R.R. Meyer, and S.M. Robinson, editors, Nonlinear Programming 3, pages 27-63, 1978.
-
(1978)
Nonlinear Programming
, vol.3
, pp. 27-63
-
-
Powell, M.J.D.1
-
295
-
-
0002207938
-
A fast algorithm for nonlinearly constrained optimization calculations
-
In G.A. Watson, editor,in Lecture Notes in Mathematics. Springer-Verlag, Berlin
-
M.J.D. Powell. A fast algorithm for nonlinearly constrained optimization calculations. In G.A. Watson, editor, Numerical Analysis Dundee 1977, number 630 in Lecture Notes in Mathematics, pages 144-157. Springer-Verlag, Berlin, 1978.
-
(1977)
Numerical Analysis Dundee
, Issue.630
, pp. 144-157
-
-
Powell, M.J.D.1
-
296
-
-
0001219541
-
Nonconvex minimization calculations and the conjugate gradient method
-
Springer-Verlag, Berlin
-
M.J.D. Powell. Nonconvex minimization calculations and the conjugate gradient method. In Lecture Notes in Mathematics 1066, pages 122-141. Springer-Verlag, Berlin, 1984.
-
(1984)
Lecture Notes in Mathematics
, vol.1066
, pp. 122-141
-
-
Powell, M.J.D.1
-
297
-
-
0022915175
-
Convergence properties of algorithms for nonlinear optimization
-
M.J.D. Powell. Convergence properties of algorithms for nonlinear optimization. SIAM Review, 28:487-500, 1985.
-
(1985)
SIAM Review
, vol.28
, pp. 487-500
-
-
Powell, M.J.D.1
-
298
-
-
0022132776
-
On the quadratic programming algorithm of goldfarb and idnani
-
M.J.D. Powell. On the quadratic programming algorithm of Goldfarb and Idnani. Mathematical Programming Study, 25:46-61, 1985.
-
(1985)
Mathematical Programming Study
, vol.25
, pp. 46-61
-
-
Powell, M.J.D.1
-
299
-
-
0010834259
-
The performance of two subroutines for constrained optimization on some dificult test problems
-
In P.T. Boggs, R.H. Byrd, and R.B Schnabel, editors,. SIAM Publication, Philadelphia
-
M.J.D. Powell. The performance of two subroutines for constrained optimization on some dificult test problems. In P.T. Boggs, R.H. Byrd, and R.B. Schnabel, editors, Numerical Optimization 1984, pages 160-177. SIAM Publication, Philadelphia, 1985.
-
(1984)
Numerical Optimization
, pp. 160-177
-
-
Powell, M.J.D.1
-
300
-
-
0343299651
-
A view of nonlinear optimization
-
In J.K. Lenstra, A.H.G. Rinnooy Kan, and A. Schrijver, editors,. CWI North-Holland, Amsterdam
-
M.J.D. Powell. A view of nonlinear optimization. In J.K. Lenstra, A.H.G. Rinnooy Kan, and A. Schrijver, editors, History of Mathematical Programming, A Collection of Personal Reminiscences, pages 119-125. CWI North-Holland, Amsterdam, 1991.
-
(1991)
History of Mathematical Programming, A Collection of Personal Reminiscences
, pp. 119-125
-
-
Powell, M.J.D.1
-
301
-
-
0022755948
-
A recursive quadratic programming algorithm that uses differentiable exact penalty functions
-
M.J.D. Powell and Y. Yuan. A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Mathematical Programming, 35:265-278, 1986.
-
(1986)
Mathematical Programming
, vol.35
, pp. 265-278
-
-
Powell, M.J.D.1
Yuan, Y.2
-
302
-
-
11344295195
-
Algorithm for a general mathematical programming problem
-
B.N. Pshenichnyj. Algorithm for a general mathematical programming problem. Kibernetika, 5:120-125, 1970.
-
(1970)
Kibernetika
, vol.5
, pp. 120-125
-
-
Pshenichnyj, B.N.1
-
303
-
-
0003802641
-
The linearization method for constrained optimization
-
Springer-Verlag
-
B.N. Pshenichnyj. The Linearization Method for Constrained Optimization. Number 22 in Computational Mathematics. Springer-Verlag, 1994.
-
(1994)
Computational Mathematics
, Issue.22
-
-
Pshenichnyj, B.N.1
-
305
-
-
0001303467
-
The convergence factor of preconditioned algorithms of the Arrow-Hurwicz type
-
W. Queck. The convergence factor of preconditioned algorithms of the Arrow-Hurwicz type. SIAM Journal on Numerical Analysis, 26:1016-1030, 1989.
-
(1989)
SIAM Journal on Numerical Analysis
, vol.26
, pp. 1016-1030
-
-
Queck, W.1
-
306
-
-
0020177930
-
A sparsity-exploiting variant of the bartels-golub decomposition for linear programming bases
-
J.K. Reid. A sparsity-exploiting variant of the Bartels-Golub decomposition for linear programming bases. Mathematical Programming, 24:55-69, 1982.
-
(1982)
Mathematical Programming
, vol.24
, pp. 55-69
-
-
Reid, J.K.1
-
307
-
-
0036554469
-
Dynamical adjustment of the prox-parameter in variable metric bundle methods
-
P.A. Rey and C.A. Sagastizábal. Dynamical adjustment of the prox-parameter in variable metric bundle methods. Optimization, 51(2):423-447, 2002.
-
(2002)
Optimization
, vol.51
, Issue.2
, pp. 423-447
-
-
Rey, P.A.1
Sagastizábal, C.A.2
-
308
-
-
0000061021
-
A quadratically convergent algorithm for general nonlinear programming problems
-
S.M. Robinson. A quadratically convergent algorithm for general nonlinear programming problems. Mathematical Programming, 3:145-156, 1972.
-
(1972)
Mathematical Programming
, vol.3
, pp. 145-156
-
-
Robinson, S.M.1
-
309
-
-
0001782846
-
Perturbed kuhn-tucker points and rates of convergence for a class of nonlinear-programming algorithms
-
S.M. Robinson. Perturbed Kuhn-Tucker points and rates of convergence for a class of nonlinear-programming algorithms. Mathematical Programming, 7:1-16, 1974.
-
(1974)
Mathematical Programming
, vol.7
, pp. 1-16
-
-
Robinson, S.M.1
-
310
-
-
0020165423
-
Generalized equations and their solutions, part II: Applications to nonlinear programming
-
S.M. Robinson. Generalized equations and their solutions, part II: applications to nonlinear programming. Mathematical Programming Study, 19:200-221, 1982.
-
(1982)
Mathematical Programming Study
, vol.19
, pp. 200-221
-
-
Robinson, S.M.1
-
311
-
-
84892879565
-
-
in Princeton Mathematics Ser. Princeton University Press, Princeton, New Jersey
-
R.T. Rockafellar. Convex Analysis. Number 28 in Princeton Mathematics Ser. Princeton University Press, Princeton, New Jersey, 1970.
-
(1970)
Convex Analysis
, Issue.28
-
-
Rockafellar, R.T.1
-
313
-
-
0016059769
-
Augmented Lagrange multiplier functions and duality in nonconvex programming
-
R.T. Rockafellar. Augmented Lagrange multiplier functions and duality in nonconvex programming. SIAM Journal on Control, 12:268-285, 1974.
-
(1974)
SIAM Journal on Control
, vol.12
, pp. 268-285
-
-
Rockafellar, R.T.1
-
314
-
-
0016950796
-
Augmented Lagrangians and applications of the proximal point algorithm in convex programming
-
R.T. Rockafellar. Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Mathematics of Operations Research, 1:97-116, 1976.
-
(1976)
Mathematics of Operations Research
, vol.1
, pp. 97-116
-
-
Rockafellar, R.T.1
-
318
-
-
0000365133
-
Decomposition methods in stochastic programming
-
A. Ruszczyński. Decomposition methods in stochastic programming. In Mathematical Programming, volume 79, 1997.
-
(1997)
Mathematical Programming
, vol.79
-
-
Ruszczyński, A.1
-
320
-
-
84892868740
-
Inherently parallel algorithms in feasibility and optimization and their applications (Haifa)
-
North-Holland, Amsterdam
-
In Inherently parallel algorithms in feasibility and optimization and their applications (Haifa, 2000), volume 8 of Stud. Comput. Math., pages 441-455. North-Holland, Amsterdam, 2001.
-
(2000)
Stud. Comput. Math.
, vol.8
, pp. 441-455
-
-
-
321
-
-
33144461315
-
An infeasible bundle method for nonsmooth convex constrained optimization without a penalty function or a filter
-
C. Sagastizábal and M.V. Solodov. An infeasible bundle method for nonsmooth convex constrained optimization without a penalty function or a filter. SIAM Journal on Optimization, 16(1):146-169, 2005.
-
(2005)
SIAM Journal on Optimization
, vol.16
, Issue.1
, pp. 146-169
-
-
Sagastizábal, C.1
Solodov, M.V.2
-
323
-
-
0007510120
-
The development of SQP algorithm for nonlinear programming
-
In L.T. Biegler, T.F. Coleman, A.R. Conn, and F.N. Santosa, editors. IMA Vol. Math. Appl.
-
R.W.H. Sargent. The development of SQP algorithm for nonlinear programming. In L.T. Biegler, T.F. Coleman, A.R. Conn, and F.N. Santosa, editors, Large-Scale Optimization with Applications, part II: Optimal design and Control, pages 1-19. IMA Vol. Math. Appl. 93, 1997.
-
(1997)
Large-Scale Optimization with Applications, Part II: Optimal Design and Control
, vol.93
, pp. 1-19
-
-
Sargent, R.W.H.1
-
324
-
-
0035238793
-
A new SQP algorithm for large-scale nonlinear programming
-
R.W.H. Sargent and M. Ding. A new SQP algorithm for large-scale nonlinear programming. SIAM Journal on Optimization, 11:716-747, 2000.
-
(2000)
SIAM Journal on Optimization
, vol.11
, pp. 716-747
-
-
Sargent, R.W.H.1
Ding, M.2
-
325
-
-
34250232455
-
The nonlinear programming method of Wilson, Han and Powell with an augmented Lagrangian type line search function, Part 1: Convergence analysis
-
K. Schittkowski. The nonlinear programming method of Wilson, Han and Powell with an augmented Lagrangian type line search function, Part 1: convergence analysis. Numerische Mathematik, 38:83-114, 1981.
-
(1981)
Numerische Mathematik
, vol.38
, pp. 83-114
-
-
Schittkowski, K.1
-
326
-
-
51649147836
-
NLPQL a FORTRAN subroutine solving constrained nonlinear programming problems
-
K. Schittkowski. NLPQL: a FORTRAN subroutine solving constrained nonlinear programming problems. Annals of Operations Research, 5:485-500, 1985.
-
(1985)
Annals of Operations Research
, vol.5
, pp. 485-500
-
-
Schittkowski, K.1
-
327
-
-
84972810861
-
Solving nonlinear programming problems with very many constraints
-
K. Schittkowski. Solving nonlinear programming problems with very many constraints. Optimization, 25:179-196, 1992.
-
(1992)
Optimization
, vol.25
, pp. 179-196
-
-
Schittkowski, K.1
-
329
-
-
0000091855
-
A version of the bundle idea for minimizing a nonsmooth function: Conceptual idea, convergence analysis, numerical results
-
H. Schramm and J. Zowe. A version of the bundle idea for minimizing a nonsmooth function: conceptual idea, convergence analysis, numerical results. SIAM Journal on Optimization, 2(1):121-152, 1992.
-
(1992)
SIAM Journal on Optimization
, vol.2
, Issue.1
, pp. 121-152
-
-
Schramm, H.1
Zowe, J.2
-
331
-
-
0000618748
-
Conjugate gradient methods with inexact searches
-
D.F. Shanno. Conjugate gradient methods with inexact searches. Mathematics of Operations Research, 3:244-256, 1978.
-
(1978)
Mathematics of Operations Research
, vol.3
, pp. 244-256
-
-
Shanno, D.F.1
-
332
-
-
0016926995
-
Algorithm 500, minimization of unconstrained multivariate functions
-
D.F. Shanno and K.H. Phua. Algorithm 500, minimization of unconstrained multivariate functions. ACM Transactions on Mathematical Software, 2:87-94, 1976.
-
(1976)
ACM Transactions on Mathematical Software
, vol.2
, pp. 87-94
-
-
Shanno, D.F.1
Phua, K.H.2
-
333
-
-
5544301475
-
Some properties of the augmented Lagrangian in cone constrained optimization
-
A. Shapiro and J. Sun. Some properties of the augmented Lagrangian in cone constrained optimization. Mathematics of Operations Research, 29:479-491, 2004.
-
(2004)
Mathematics of Operations Research
, vol.29
, pp. 479-491
-
-
Shapiro, A.1
Sun, J.2
-
334
-
-
0004858572
-
Utilization of the operation of space dilatation in the minimization of convex functions
-
N. Shor. Utilization of the operation of space dilatation in the minimization of convex functions. Kibernetica, 1:6-12, 1970
-
(1970)
Kibernetica
, vol.1
, pp. 6-12
-
-
Shor, N.1
-
337
-
-
0028517184
-
Fast iterative solution of stabilized Stokes systems part II: Using general block preconditioners
-
D. Silvester and A.Wathen. Fast iterative solution of stabilized Stokes systems part II: using general block preconditioners. SIAM Journal on Numerical Analysis, 31:1352-1367, 1994.
-
(1994)
SIAM Journal on Numerical Analysis
, vol.31
, pp. 1352-1367
-
-
Silvester, D.1
Wathen, A.2
-
338
-
-
0010820453
-
Lagrange multipliers revisited: A contribution to non-linear programming
-
M. Slater. Lagrange multipliers revisited: a contribution to non-linear programming. Cowles Commission Discussion Paper, Math. 403, 1950.
-
(1950)
Cowles Commission Discussion Paper Math.
, vol.403
-
-
Slater, M.1
-
339
-
-
6344263660
-
A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework
-
M. V. Solodov. A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework. Optim. Methods Softw., 19(5):557-575, 2004.
-
(2004)
Optim. Methods Softw.
, vol.19
, Issue.5
, pp. 557-575
-
-
Solodov, M.V.1
-
340
-
-
0000586985
-
A hybrid approximate extragradientproximal point algorithm using the enlargement of a maximal monotone operator
-
M. V. Solodov and B. F. Svaiter. A hybrid approximate extragradientproximal point algorithm using the enlargement of a maximal monotone operator. Set-Valued Anal., 7(4):323-345, 1999.
-
(1999)
Set-Valued Anal.
, vol.7
, Issue.4
, pp. 323-345
-
-
Solodov, M.V.1
Svaiter, B.F.2
-
341
-
-
22844456506
-
A hybrid projection-proximal point algorithm
-
M. V. Solodov and B. F. Svaiter. A hybrid projection-proximal point algorithm. J. Convex Anal., 6(1):59-70, 1999.
-
(1999)
J. Convex Anal.
, vol.6
, Issue.1
, pp. 59-70
-
-
Solodov, M.V.1
Svaiter, B.F.2
-
345
-
-
0001059736
-
A new technique for inconsistent problems in the SQP method
-
P. Spellucci. A new technique for inconsistent problems in the SQP method. Mathematical Methods of Operations Research, 47:355-400, 1998.
-
(1998)
Mathematical Methods of Operations Research
, vol.47
, pp. 355-400
-
-
Spellucci, P.1
-
346
-
-
0001346976
-
An SQP method for general nonlinear programs using only equality constrained subproblems
-
P. Spellucci. An SQP method for general nonlinear programs using only equality constrained subproblems. Mathematical Programming, 82:413-448, 1998.
-
(1998)
Mathematical Programming
, vol.82
, pp. 413-448
-
-
Spellucci, P.1
-
347
-
-
0001531775
-
Partial inverse of a monotone operator
-
J. E. Spingarn. Partial inverse of a monotone operator. Appl. Math. Optim., 10(3):247-265, 1983.
-
(1983)
Appl. Math. Optim.
, vol.10
, Issue.3
, pp. 247-265
-
-
Spingarn, J.E.1
-
349
-
-
0000305846
-
The conjugate gradient method and trust regions in large scale optimization
-
T. Steihaug. The conjugate gradient method and trust regions in large scale optimization. SIAM Journal on Numerical Analysis, 20:626-637, 1983.
-
(1983)
SIAM Journal on Numerical Analysis
, vol.20
, pp. 626-637
-
-
Steihaug, T.1
-
350
-
-
0000728589
-
Diagonalized multiplier methods and quasi-Newton methods for constrained optimization
-
R.A. Tapia. Diagonalized multiplier methods and quasi-Newton methods for constrained optimization. Journal of Optimization Theory and Applications, 22:135-194, 1977.
-
(1977)
Journal of Optimization Theory and Applications
, vol.22
, pp. 135-194
-
-
Tapia, R.A.1
-
351
-
-
84966224209
-
On secant updates for use in general constrained optimization
-
R.A. Tapia. On secant updates for use in general constrained optimization. Mathematics of Computation, 51:181-202, 1988.
-
(1988)
Mathematics of Computation
, vol.51
, pp. 181-202
-
-
Tapia, R.A.1
-
354
-
-
0009285418
-
On convergence properties of algorithms for unconstrained minimization
-
M.J. Todd. On convergence properties of algorithms for unconstrained minimization. IMA Journal of Numerical Analysis, 9(3):435-441, 1989.
-
(1989)
IMA Journal of Numerical Analysis
, vol.9
, Issue.3
, pp. 435-441
-
-
Todd, M.J.1
-
355
-
-
0020765020
-
Revisions of constraint approximations in the successive QP method for nonlinear programming problems
-
K. Tone. Revisions of constraint approximations in the successive QP method for nonlinear programming problems. Mathematical Programming, 26:144-152, 1983.
-
(1983)
Mathematical Programming
, vol.26
, pp. 144-152
-
-
Tone, K.1
-
356
-
-
0031285675
-
Alternating projection-proximal methods for convex programming and variational inequalities
-
P. Tseng. Alternating projection-proximal methods for convex programming and variational inequalities. SIAM J. Optim., 7(4):951-965, 1997.
-
(1997)
SIAM J. Optim.
, vol.7
, Issue.4
, pp. 951-965
-
-
Tseng, P.1
-
359
-
-
0021211404
-
A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem
-
R. Verfürth. A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem. IMA Journal of Numerical Analysis, 4:441-455, 1984.
-
(1984)
IMA Journal of Numerical Analysis
, vol.4
, pp. 441-455
-
-
Verfürth, R.1
-
360
-
-
80054968315
-
Finite catenary and the method of Lagrange
-
K. Veselič. Finite catenary and the method of Lagrange. SIAM Review, 37:224-229, 1995.
-
(1995)
SIAM Review
, vol.37
, pp. 224-229
-
-
Veselič, K.1
-
361
-
-
0012071895
-
Least-change quasi-Newton updates for equalityconstrained optimization
-
M. Wagner and M.J. Todd. Least-change quasi-Newton updates for equalityconstrained optimization. Mathematical Programming, 87:317-350, 2000.
-
(2000)
Mathematical Programming
, vol.87
, pp. 317-350
-
-
Wagner, M.1
Todd, M.J.2
-
362
-
-
0027606774
-
Fast iterative solution of stabilized Stokes systems part I: Using simple diagonal preconditioners
-
A.Wathen and D. Silvester. Fast iterative solution of stabilized Stokes systems part I: using simple diagonal preconditioners. SIAM Journal on Numerical Analysis, 30:630-649, 1993.
-
(1993)
SIAM Journal on Numerical Analysis
, vol.30
, pp. 630-649
-
-
Wathen, A.1
Silvester, D.2
-
363
-
-
0004102294
-
-
PhD thesis Graduate School of Business Administration, Harvard University, Cambridge, MA, USA
-
R.B. Wilson. A simplicial algorithm for concave programming. PhD thesis, Graduate School of Business Administration, Harvard University, Cambridge, MA, USA, 1963.
-
(1963)
A Simplicial Algorithm for Concave Programming
-
-
Wilson, R.B.1
-
364
-
-
0000557604
-
A duality theorem for nonlinear programming
-
P. Wolfe. A duality theorem for nonlinear programming. Quarterly Applied Mathematics, 19:239-244, 1961.
-
(1961)
Quarterly Applied Mathematics
, vol.19
, pp. 239-244
-
-
Wolfe, P.1
-
365
-
-
0014492147
-
Convergence conditions for ascent methods
-
P. Wolfe. Convergence conditions for ascent methods. SIAM Review, 11:226-235, 1969.
-
(1969)
SIAM Review
, vol.11
, pp. 226-235
-
-
Wolfe, P.1
-
366
-
-
0016621235
-
A method of conjugate subgradients for minimizing nondifferentiable functions
-
P.Wolfe. A method of conjugate subgradients for minimizing nondifferentiable functions. Mathematical Programming Study, 3:145-173, 1975.
-
(1975)
Mathematical Programming Study
, vol.3
, pp. 145-173
-
-
Wolfe, P.1
-
368
-
-
0027903976
-
A path-following infeasible-interior-point algorithm for linear complementarity problems
-
S.J. Wright. A path-following infeasible-interior-point algorithm for linear complementarity problems. Optimization Methods and Software, 2:79-106, 1993.
-
(1993)
Optimization Methods and Software
, vol.2
, pp. 79-106
-
-
Wright, S.J.1
-
369
-
-
0028525075
-
An infeasible interior point algorithm for linear complementarity problems
-
S.J. Wright. An infeasible interior point algorithm for linear complementarity problems. Mathematical Programming, 67:29-52, 1994.
-
(1994)
Mathematical Programming
, vol.67
, pp. 29-52
-
-
Wright, S.J.1
-
370
-
-
0003459671
-
Primal-dual interior-point methods
-
S.J. Wright. Primal-dual interior-point methods. SIAM, Philadelphia, 1996.
-
(1996)
SIAM Philadelphia
-
-
Wright, S.J.1
-
371
-
-
0000261195
-
Superlinear convergence of a stabilized SQP method to a degenerate solution
-
S.J. Wright. Superlinear convergence of a stabilized SQP method to a degenerate solution. Computational Optimization and Applications, 11:253-275, 1998.
-
(1998)
Computational Optimization and Applications
, vol.11
, pp. 253-275
-
-
Wright, S.J.1
-
372
-
-
0033416524
-
Practical update criteria for reduced hessian SQP: Global analysis
-
Y. Xie and R.H. Byrd. Practical update criteria for reduced Hessian SQP: global analysis. SIAM Journal on Optimization, 9:578-604, 1999.
-
(1999)
SIAM Journal on Optimization
, vol.9
, pp. 578-604
-
-
Xie, Y.1
Byrd, R.H.2
-
373
-
-
21344457406
-
A simplification of the homogeneous and self-dual linear programming algorithm and its implementation
-
X. Xu, P.F. Hung, and Y. Ye. A simplification of the homogeneous and self-dual linear programming algorithm and its implementation. Annals of Operations Research, 62:151-172, 1996.
-
(1996)
Annals of Operations Research
, vol.62
, pp. 151-172
-
-
Xu, X.1
Hung, P.F.2
Ye, Y.3
-
375
-
-
0007554566
-
On homogeneous and self-dual algorithm for LCP
-
Y. Ye. On homogeneous and self-dual algorithm for LCP. Mathematical Programming, 76:211-222, 1997.
-
(1997)
Mathematical Programming
, vol.76
, pp. 211-222
-
-
Ye., Y.1
-
376
-
-
0003058678
-
An O(pnL)-iteration homogeneous and self-dual linear programming algorithm
-
Y. Ye, M.J. Todd, and S. Mizuno. An O(pnL)-iteration homogeneous and self-dual linear programming algorithm. Mathematics of Operations Research, 19:53-67, 1994.
-
(1994)
Mathematics of Operations Research
, vol.19
, pp. 53-67
-
-
Ye, Y.1
Todd, M.J.2
Mizuno, S.3
-
377
-
-
0022075312
-
An only 2-step Q-superlinearly convergence example for some algorithms that use reduced Hessian informations
-
Y. Yuan. An only 2-step Q-superlinearly convergence example for some algorithms that use reduced Hessian informations. Mathematical Programming, 32:224-231, 1985.
-
(1985)
Mathematical Programming
, vol.32
, pp. 224-231
-
-
Yuan, Y.1
-
378
-
-
0002578669
-
Non-linear programming via penalty functions
-
W.I. Zangwill. Non-linear programming via penalty functions. Management Science, 13:344-358, 1967.
-
(1967)
Management Science
, vol.13
, pp. 344-358
-
-
Zangwill, W.I.1
-
379
-
-
0000252459
-
On the convergence of a class of infeasible interior-point methods for the horizontal linear complementarity problem
-
Y. Zhang. On the convergence of a class of infeasible interior-point methods for the horizontal linear complementarity problem. SIAM J. Optimization, 4:208-227, 1994.
-
(1994)
SIAM J. Optimization
, vol.4
, pp. 208-227
-
-
Zhang, Y.1
-
380
-
-
0001854432
-
Nonlinear programming, computational methods
-
In J. Abadie, editor, North-Holland, Amsterdam
-
G. Zoutendijk. Nonlinear programming, computational methods. In J. Abadie, editor, Integer and Nonlinear Programming, pages 37-86. North-Holland, Amsterdam, 1970.
-
(1970)
Integer and Nonlinear Programming
, pp. 37-86
-
-
Zoutendijk, G.1
|