-
1
-
-
0039330317
-
Gradient methods for constrained maxima, with weakened assumptions
-
K. J. Arrow, L. Hurwicz, and H. Uzawa, editors, Stanford, USA, Stanford University Press
-
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 non-linear Programming, pages 166-176, Stanford, USA, 1958. Stanford University Press.
-
(1958)
Studies in Linear and Non-linear Programming
, pp. 166-176
-
-
Arrow, K.J.1
Solow, R.M.2
-
4
-
-
0012586445
-
Preliminary computational experience with modified log-barrier functions for large-scale nonlinear programming
-
W. W. Hager, D. W. Hearn and P. M. Pardalos, editors. Dordrecht, Kluwer Academic Publishers, CMP 95:05
-
M. G. Breitfeld and D. Shanno. Preliminary computational experience with modified log-barrier functions for large-scale nonlinear programming. In W. W. Hager, D. W. Hearn and P. M. Pardalos, editors. Large Scale Optimization: State of the Art, pages 45-67, Dordrecht, 1994. Kluwer Academic Publishers, CMP 95:05
-
(1994)
Large Scale Optimization: State of the Art
, pp. 45-67
-
-
Breitfeld, M.G.1
Shanno, D.2
-
5
-
-
21344471583
-
Computational experience with penalty-barrier methods for nonlinear programming
-
CMP 96:12
-
M. G. Breitfeld and D. F. Shanno. Computational experience with penalty-barrier methods for nonlinear programming. Annals of Operations Research, 62: 439-463, 1996. CMP 96:12
-
(1996)
Annals of Operations Research
, vol.62
, pp. 439-463
-
-
Breitfeld, M.G.1
Shanno, D.F.2
-
6
-
-
0000880309
-
On the identification of active constraints
-
MR 89i:90068
-
J. V. Burke and J. J. Moré. On the identification of active constraints. SIAM Journal on Numerical Analysis, 25(5):1197-1211, 1988. MR 89i:90068
-
(1988)
SIAM Journal on Numerical Analysis
, vol.25
, Issue.5
, pp. 1197-1211
-
-
Burke, J.V.1
Moré, J.J.2
-
7
-
-
33747796524
-
Convergence properties of trust region methods for linear and convex constraints
-
MR 91f:90114
-
J. V. Burke, J. J. Moré, and G. Toraldo. Convergence properties of trust region methods for linear and convex constraints. Mathematical Programming, Series A, 47(3):305-336, 1990. MR 91f:90114
-
(1990)
Mathematical Programming, Series A
, vol.47
, Issue.3
, pp. 305-336
-
-
Burke, J.V.1
Moré, J.J.2
Toraldo, G.3
-
8
-
-
0023416451
-
Projected gradient methods for linearly constrained problems
-
MR 89f:90132
-
P. H. Calamai and J. J. Moré. Projected gradient methods for linearly constrained problems. Mathematical Programming, 39:93-116, 1987. MR 89f:90132
-
(1987)
Mathematical Programming
, vol.39
, pp. 93-116
-
-
Calamai, P.H.1
Moré, J.J.2
-
9
-
-
0002467356
-
Global convergence of a class of trust region algorithms for optimization with simple bounds
-
A. R. Conn, N. I. M. Gould, and Ph. L. Toint. Global convergence of a class of trust region algorithms for optimization with simple bounds. SIAM Journal on Numerical Analysis, 25:433-460, 1988. See also same journal 26:764-767, 1989. MR, 89h:90192; MR 90d:90071
-
(1988)
SIAM Journal on Numerical Analysis
, vol.25
, pp. 433-460
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, Ph.L.3
-
10
-
-
0001623391
-
-
MR, 89h:90192; MR 90d:90071
-
A. R. Conn, N. I. M. Gould, and Ph. L. Toint. Global convergence of a class of trust region algorithms for optimization with simple bounds. SIAM Journal on Numerical Analysis, 25:433-460, 1988. See also same journal 26:764-767, 1989. MR, 89h:90192; MR 90d:90071
-
(1989)
SIAM Journal on Numerical Analysis
, vol.26
, pp. 764-767
-
-
-
11
-
-
84966215545
-
Testing a class of methods for solving minimization problems with simple bounds on the variables
-
MR 89e:55061
-
A. R. Conn, N. I. M. Gould, and Ph. L. Toint. Testing a class of methods for solving minimization problems with simple bounds on the variables. Mathematics of Computation, 50:399-430, 1988. MR 89e:55061
-
(1988)
Mathematics of Computation
, vol.50
, pp. 399-430
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, Ph.L.3
-
12
-
-
0026136104
-
A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds
-
MR 91k:90158
-
A. R. Conn, N. I. M. Gould, and Ph. L. Toint. A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds. SIAM Journal on Numerical Analysis, 28(2):545-572, 1991. MR 91k:90158
-
(1991)
SIAM Journal on Numerical Analysis
, vol.28
, Issue.2
, pp. 545-572
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, Ph.L.3
-
13
-
-
0005181754
-
A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds
-
Department of Mathematics, FUNDP, Namur, Belgium
-
A. R. Conn, N. I. M. Gould, and Ph. L. Toint. A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds. Technical Report 92/07, Department of Mathematics, FUNDP, Namur, Belgium, 1992.
-
(1992)
Technical Report 92/07
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, Ph.L.3
-
14
-
-
0003709683
-
-
Number 17 in Springer Series in Computational Mathematics. Springer Verlag, Heidelberg, Berlin, New York, CMP 93:12
-
A. R. Conn, N. I. M. Gould, and Ph. L. Toint. LANCELOT: a Fortran package for large-scale nonlinear optimization (Release A). Number 17 in Springer Series in Computational Mathematics. Springer Verlag, Heidelberg, Berlin, New York, 1992. CMP 93:12
-
(1992)
LANCELOT: A Fortran Package for Large-scale Nonlinear Optimization (Release A)
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, Ph.L.3
-
15
-
-
0005356373
-
On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear equality constraints and simple bounds
-
D.F Griffiths and G.A. Watson, editors, Longmans, CMP 92:16
-
A. R. Conn, N. I. M. Gould, and Ph. L. Toint. On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear equality constraints and simple bounds. In D.F Griffiths and G.A. Watson, editors, Proceedings of the 14th Biennial Numerical Analysis Conference Dundee 1991, pages 49-68. Longmans, 1992. CMP 92:16
-
(1992)
Proceedings of the 14th Biennial Numerical Analysis Conference Dundee 1991
, pp. 49-68
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, Ph.L.3
-
16
-
-
0042265816
-
On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear inequality constraints and simple bounds
-
to appear
-
A. R. Conn, N. I. M. Gould, and Ph. L. Toint. On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear inequality constraints and simple bounds. Computational Optimization and Applications, to appear, 1996.
-
(1996)
Computational Optimization and Applications
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, Ph.L.3
-
17
-
-
0028529306
-
A note on exploiting structure when using slack variables
-
MR 95h:90124
-
A. R. Conn, Nick Gould, and Ph. L. Toint. A note on exploiting structure when using slack variables. Mathematical Programming, Series A, 67(1):89-97, 1994. MR 95h:90124
-
(1994)
Mathematical Programming, Series A
, vol.67
, Issue.1
, pp. 89-97
-
-
Conn, A.R.1
Gould, N.2
Toint, Ph.L.3
-
18
-
-
21344484303
-
A note on using alternative second-order models for the subproblems arising in barrier function methods for minimization
-
MR 95a:90119
-
A. R. Conn, Nick Gould, and Ph. L. Toint. A note on using alternative second-order models for the subproblems arising in barrier function methods for minimization. Numerische Mathematik, 68:17-33, 1994. MR 95a:90119
-
(1994)
Numerische Mathematik
, vol.68
, pp. 17-33
-
-
Conn, A.R.1
Gould, N.2
Toint, Ph.L.3
-
21
-
-
0005658675
-
-
SIAM, MR 39:5152
-
A. V. Fiacco and G. P. McCormick. Nonlinear Programming: Sequential Unconstrained Minimization Techniques. J. Wiley and Sons, New York, 1968. Reprinted as Classics in Applied Mathematics 4, SIAM, 1990. MR 39:5152
-
(1990)
Classics in Applied Mathematics
, vol.4
-
-
-
22
-
-
0003768769
-
-
J. Wiley and Sons, Chichester, second edition, MR 89j:65050
-
R. Fletcher. Practical Methods of Optimization. J. Wiley and Sons, Chichester, second edition, 1987. MR 89j:65050
-
(1987)
Practical Methods of Optimization
-
-
Fletcher, R.1
-
23
-
-
0040900696
-
Theoretical efficiency of a shifted-barrier-function algorithm for linear programming
-
MR 92e:90031
-
R. M. Freund. Theoretical efficiency of a shifted-barrier-function algorithm for linear programming. Linear Algebra and its Applications, 152:19-41, 1991. MR 92e:90031
-
(1991)
Linear Algebra and Its Applications
, vol.152
, pp. 19-41
-
-
Freund, R.M.1
-
25
-
-
0022808235
-
On projected Newton barrier methods for linear programming and an equivalence to Karmarkar's projective method
-
MR 88h:90123
-
P. E. Gill, W. Murray, M. A. Saunders, J. A. Tomlin, and M. H. Wright. On projected Newton barrier methods for linear programming and an equivalence to Karmarkar's projective method. Mathematical Programming, 36:183-209, 1986. MR 88h:90123
-
(1986)
Mathematical Programming
, vol.36
, pp. 183-209
-
-
Gill, P.E.1
Murray, W.2
Saunders, M.A.3
Tomlin, J.A.4
Wright, M.H.5
-
26
-
-
3943081577
-
Shifted barrier methods for linear programming
-
Department of Operations Research, Stanford University, Stanford, California 94305, USA
-
P. E. Gill, W. Murray, M. A. Saunders, and M. H. Wright. Shifted barrier methods for linear programming. Technical Report SOL88-9, Department of Operations Research, Stanford University, Stanford, California 94305, USA, 1988.
-
(1988)
Technical Report SOL88-9
-
-
Gill, P.E.1
Murray, W.2
Saunders, M.A.3
Wright, M.H.4
-
27
-
-
0001087725
-
On the accurate determination of search directions for simple differentiable penalty functions
-
MR 89i:90072
-
N. I. M. Gould. On the accurate determination of search directions for simple differentiable penalty functions. IMA Journal of Numerical Analysis, 6:357-372, 1986. MR 89i:90072
-
(1986)
IMA Journal of Numerical Analysis
, vol.6
, pp. 357-372
-
-
Gould, N.I.M.1
-
29
-
-
24544472315
-
-
Technical report, Faculty of Technical Mathematics and Computer Science, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands
-
O. Güler, D. den Hertog, C. Roos, T. Terlaky, and T. Tsuchiya. Degeneracy in interior point methods for linear programming. Technical report, Faculty of Technical Mathematics and Computer Science, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands, 1993.
-
(1993)
Degeneracy in Interior Point Methods for Linear Programming
-
-
Güler, O.1
Den Hertog, D.2
Roos, C.3
Terlaky, T.4
Tsuchiya, T.5
-
30
-
-
0011303903
-
-
Advanced Computing Department, Harwell Laboratory, Harwell, UK
-
Harwell Subroutine Library. A catalogue of subroutines (release 11). Advanced Computing Department, Harwell Laboratory, Harwell, UK, 1993.
-
(1993)
A Catalogue of Subroutines (Release 11)
-
-
-
32
-
-
0001546315
-
A practical interior point method for convex programming
-
MR 95k:90058
-
F. Jarre and M. A. Saunders. A practical interior point method for convex programming. SIAM Journal on Optimization, 5(1):149-171, 1995. MR 95k:90058
-
(1995)
SIAM Journal on Optimization
, vol.5
, Issue.1
, pp. 149-171
-
-
Jarre, F.1
Saunders, M.A.2
-
33
-
-
0028425543
-
On the convergence of a modified barrier method for convex programming
-
D. Jensen and R. Polyak. On the convergence of a modified barrier method for convex programming. IBM J. Res. Develop., 38(3):307-321, 1994.
-
(1994)
IBM J. Res. Develop.
, vol.38
, Issue.3
, pp. 307-321
-
-
Jensen, D.1
Polyak, R.2
-
34
-
-
0043268282
-
-
Research Report RC 18415, IBM T. J. Watson Research Center, Yorktown Heights, NY, USA
-
D. L. Jensen, R. Polyak, and R. Schneur. Numerical experience with modified barrier functions method for linear programming. Research Report RC 18415, IBM T. J. Watson Research Center, Yorktown Heights, NY, USA, 1992.
-
(1992)
Numerical Experience with Modified Barrier Functions Method for Linear Programming
-
-
Jensen, D.L.1
Polyak, R.2
Schneur, R.3
-
35
-
-
0003317346
-
A modified barrier function method with improved rate of convergence for degenerate problems
-
MR 80k:65046
-
K. Jittorntrum and M. Osborne. A modified barrier function method with improved rate of convergence for degenerate problems. Journal of the Australian Mathematical Society (Series B), 21:305-329, 1980. MR 80k:65046
-
(1980)
Journal of the Australian Mathematical Society (Series B)
, vol.21
, pp. 305-329
-
-
Jittorntrum, K.1
Osborne, M.2
-
36
-
-
51249181779
-
A new polynomial-time algorithm for linear programming
-
MR 86i:90072
-
N. Karmarkar. A new polynomial-time algorithm for linear programming. Combinatorica, 4:373-395, 1984. MR 86i:90072
-
(1984)
Combinatorica
, vol.4
, pp. 373-395
-
-
Karmarkar, N.1
-
37
-
-
0038998037
-
-
Discussion Paper 171. Institute of Economy and Operations Research, FernUniversität Hagen, P.O. Box 940, D-5800 Hagen 1, West-Germany, May
-
E. Kranich. Interior point methods for mathematical programming: A bibliography. Discussion Paper 171. Institute of Economy and Operations Research, FernUniversität Hagen, P.O. Box 940, D-5800 Hagen 1, West-Germany, May 1991. The bibliography can be accessed electronically by sending email to 'netlibresearch.att.com' or 'netlibukc.ac.uk' with the message 'send intbib.bib from bib'.
-
(1991)
Interior Point Methods for Mathematical Programming: A Bibliography
-
-
Kranich, E.1
-
38
-
-
0003570491
-
Hessian matrices of penalty functions for solving constrained optimization problems
-
MR 46:4724
-
F. A. Lootsma. Hessian matrices of penalty functions for solving constrained optimization problems. Philips Research Reports, 24:322-331, 1969. MR 46:4724
-
(1969)
Philips Research Reports
, vol.24
, pp. 322-331
-
-
Lootsma, F.A.1
-
39
-
-
0000114112
-
Computational experience with a primal-dual interior point method for linear programming
-
MR 92d:90041
-
I.J. Lustig, R.E. Marsten, and D.F. Shanno. Computational experience with a primal-dual interior point method for linear programming. Linear Algebra and its Applications, 152:191-222, 1991. MR 92d:90041
-
(1991)
Linear Algebra and Its Applications
, vol.152
, pp. 191-222
-
-
Lustig, I.J.1
Marsten, R.E.2
Shanno, D.F.3
-
40
-
-
0007469226
-
The superlinear convergence of a nonlinear primal-dual algorithm
-
Department of Operations Research, George Washington University, Washington DC 20052
-
G. P. McCormick. The superlinear convergence of a nonlinear primal-dual algorithm. Technical Report OR T-550/91, Department of Operations Research, George Washington University, Washington DC 20052, 1991.
-
(1991)
Technical Report or T-550/91
-
-
McCormick, G.P.1
-
41
-
-
34250401063
-
Convergence bounds for nonlinear programming algorithms
-
MR 51:12340
-
R. Mifflin. Convergence bounds for nonlinear programming algorithms. Mathematical Programming, 8:251-271, 1975. MR 51:12340
-
(1975)
Mathematical Programming
, vol.8
, pp. 251-271
-
-
Mifflin, R.1
-
42
-
-
0015035752
-
Analytical expressions for eigenvalues and eigenvectors of the Hessian matrices of barrier and penalty functions
-
MR 44:1441
-
W. Murray. Analytical expressions for eigenvalues and eigenvectors of the Hessian matrices of barrier and penalty functions. Journal of Optimization Theory and Applications, 7:189-196, 1971. MR 44:1441
-
(1971)
Journal of Optimization Theory and Applications
, vol.7
, pp. 189-196
-
-
Murray, W.1
-
44
-
-
0010834258
-
Project Lagrangian methods based on the trajectories of penalty and barrier functions
-
Department of Operations Research, Stanford University, Stanford, California 94305, USA
-
W. Murray and M. H. Wright. Project Lagrangian methods based on the trajectories of penalty and barrier functions. Technical Report SOL78-23, Department of Operations Research, Stanford University, Stanford, California 94305, USA, 1978.
-
(1978)
Technical Report SOL78-23
-
-
Murray, W.1
Wright, M.H.2
-
45
-
-
0002344552
-
A numerical comparison of barrier and modified barrier methods for large-scale constrained optimization
-
W. W. Hager, D. W. Hearn and P. M. Pardalos, editors, Dordrecht, Kluwer Academic Publishers. CMP 95:05
-
S. G. Nash, R. Polyak, and A. Sofer. A numerical comparison of barrier and modified barrier methods for large-scale constrained optimization. In W. W. Hager, D. W. Hearn and P. M. Pardalos, editors, Large Scale Optimization: State of the Art, pages 319-338, Dordrecht, 1994. Kluwer Academic Publishers. CMP 95:05
-
(1994)
Large Scale Optimization: State of the Art
, pp. 319-338
-
-
Nash, S.G.1
Polyak, R.2
Sofer, A.3
-
46
-
-
0002267248
-
A barrier method for large-scale consi rained optimization
-
CMP 93:07
-
S. G. Nash and A. Sofer. A barrier method for large-scale consi rained optimization. ORSA Journal on Computing, 5(1):40-53, 1993. CMP 93:07
-
(1993)
ORSA Journal on Computing
, vol.5
, Issue.1
, pp. 40-53
-
-
Nash, S.G.1
Sofer, A.2
-
49
-
-
34249830808
-
Modified barrier functions (theory and methods)
-
MR 93c:90083
-
R. Polyak. Modified barrier functions (theory and methods). Mathematical Programming, 54(2):177-222, 1992. MR 93c:90083
-
(1992)
Mathematical Programming
, vol.54
, Issue.2
, pp. 177-222
-
-
Polyak, R.1
-
50
-
-
0042265814
-
Smooth optimization methods for solving nonlinear extremal and equilibrium problems with constraints
-
Bonn, Federal Republic of Germany, August
-
R. A. Polyak. Smooth optimization methods for solving nonlinear extremal and equilibrium problems with constraints. Paper presented at the XIth International Symposium on Mathematical Programming, Bonn, Federal Republic of Germany, August 1982.
-
(1982)
XIth International Symposium on Mathematical Programming
-
-
Polyak, R.A.1
-
51
-
-
0007546262
-
-
PhD thesis, Department of Computer Science, Stanford University. Stanford, California 94305, USA
-
D. B. Ponceleón. Barrier methods for large-scale quadratic programming. PhD thesis, Department of Computer Science, Stanford University. Stanford, California 94305, USA, 1990.
-
(1990)
Barrier Methods for Large-scale Quadratic Programming
-
-
Ponceleón, D.B.1
-
52
-
-
0002380692
-
A method for nonlinear constraints in minimization problems
-
R. Fletcher, editor, London and New York, Academic Press, MR 42:7284
-
M. J. D. Powell. A method for nonlinear constraints in minimization problems. In R. Fletcher, editor, Optimization, London and New York, 1969, Academic Press, pages 283-298. MR 42:7284
-
(1969)
Optimization
, pp. 283-298
-
-
Powell, M.J.D.1
-
53
-
-
0043184794
-
Log barrier methods for semi-infinite programming calculations
-
E. A. Lipitakis, editor, Singapore, World Scientific
-
M. J. D. Powell. Log barrier methods for semi-infinite programming calculations. In E. A. Lipitakis, editor, Advances on Computer Mathematics and its Applications, pages 1-21, Singapore, 1993. World Scientific.
-
(1993)
Advances on Computer Mathematics and Its Applications
, pp. 1-21
-
-
Powell, M.J.D.1
-
54
-
-
0041765182
-
Some convergence properties of the modified log barrier method for linear programming
-
CMP 96:03
-
M. J. D. Powell. Some convergence properties of the modified log barrier method for linear programming. SIAM Journal on Optimization, 5(4): 695-740, 1935. CMP 96:03
-
(1935)
SIAM Journal on Optimization
, vol.5
, Issue.4
, pp. 695-740
-
-
Powell, M.J.D.1
-
55
-
-
0042265815
-
Primal-dual interior point algorithms for maxmin eigenvalue problems
-
Faculty of Mathematics, University of Waterloo
-
F. Rendl, R. J. Vanderbei, and H. Wolkowicz. Primal-dual interior point algorithms for maxmin eigenvalue problems. Technical Report CORR93-20, Faculty of Mathematics, University of Waterloo, 1993.
-
(1993)
Technical Report CORR93-20
-
-
Rendl, F.1
Vanderbei, R.J.2
Wolkowicz, H.3
-
56
-
-
0016950796
-
Augmented Lagrangians and applications of the proximal point algorithm in convex programming
-
MR 54:6954
-
R. T. Rockafellar. Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Mathematics of Operations Research, 1:97-116, 1976. MR 54:6954
-
(1976)
Mathematics of Operations Research
, vol.1
, pp. 97-116
-
-
Rockafellar, R.T.1
-
57
-
-
0003537795
-
-
PhD thesis, Department of Computer Science. Stanford University, Stanford, California 94305, USA
-
M. H. Wright. Numerical methods for nonlinearly constrained optimization. PhD thesis, Department of Computer Science. Stanford University, Stanford, California 94305, USA, 1976.
-
(1976)
Numerical Methods for Nonlinearly Constrained Optimization
-
-
Wright, M.H.1
-
58
-
-
84971922797
-
Interior methods for constrained optimization
-
Cambridge University Press, New York, MR 93d:90037
-
M. H. Wright. Interior methods for constrained optimization, volume 1 of Acta Numerica, pages 341-407. Cambridge University Press, New York, 1992. MR 93d:90037
-
(1992)
Acta Numerica
, vol.1
, pp. 341-407
-
-
Wright, M.H.1
|