-
1
-
-
31544442438
-
A truncated-CG style method for symmetric generalized eigenvalue problems
-
P.-A. Absil, C.G. Baker, and K.A. Gallivan, "A truncated-CG style method for symmetric generalized eigenvalue problems," J. Comput. Appllied Math., vol. 189, nos. 1-2, pp. 274-285, 2006.
-
(2006)
J. Comput. Appllied Math.
, vol.189
, Issue.1-2
, pp. 274-285
-
-
Absil, P.-A.1
Baker, C.G.2
Gallivan, K.A.3
-
2
-
-
0010766006
-
The trust region affine interior point algorithm for convex and nonconvex quadratic programming
-
J.F. Bonnans and M. Bouhtou, "The trust region affine interior point algorithm for convex and nonconvex quadratic programming," RAIRO Rech. Oper., vol. 29, pp. 195-217, 1995.
-
(1995)
RAIRO Rech. Oper.
, vol.29
, pp. 195-217
-
-
Bonnans, J.F.1
Bouhtou, M.2
-
3
-
-
0003893794
-
-
Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. van der Vorst (eds.), Society for Industrial and Applied Mathematics, Philadelphia
-
Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. van der Vorst (eds.), "Templates for the solution of algebraic eigenvalue problems: A practical guide," Society for Industrial and Applied Mathematics, Philadelphia, 2000.
-
(2000)
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide
-
-
-
4
-
-
0001130234
-
A trust region method based on interior point techniques for nonlinear programming
-
R.H. Byrd, J.C. Gilbert, and J. Nocedal, "A trust region method based on interior point techniques for nonlinear programming," Math. Program., vol. 89, pp. 149-185, 2000.
-
(2000)
Math. Program.
, vol.89
, pp. 149-185
-
-
Byrd, R.H.1
Gilbert, J.C.2
Nocedal, J.3
-
5
-
-
0031285895
-
A trust region interior point algorithm for linearly constrained optimization
-
J. F. Bonnans and C. Pola, "A trust region interior point algorithm for linearly constrained optimization," SIAM J. Optim., vol. 7, no. 3, pp. 717-731, 1997.
-
(1997)
SIAM J. Optim.
, vol.7
, Issue.3
, pp. 717-731
-
-
Bonnans, J.F.1
Pola, C.2
-
6
-
-
0037393635
-
A simple primal-dual feasible interior-point method for nonlinear programming with monotone descent
-
S. Bakhtiari and A.L. Tits, "A simple primal-dual feasible interior-point method for nonlinear programming with monotone descent," Comput. Optim. Appl., vol. 25, pp. 17-38, 2003.
-
(2003)
Comput. Optim. Appl.
, vol.25
, pp. 17-38
-
-
Bakhtiari, S.1
Tits, A.L.2
-
7
-
-
0003951723
-
Trust-region methods
-
Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, and Math. Program. Soc. (MPS), Philadelphia, PA
-
A.R. Conn, N.I.M. Gould, and Ph. L. Toint, "Trust-region methods," MPS/SIAM Series on Optimization, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, and Math. Program. Soc. (MPS), Philadelphia, PA, 2000.
-
(2000)
MPS/SIAM Series on Optimization
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, Ph.L.3
-
8
-
-
0001173687
-
An interior Newton method for quadratic programming
-
T.F. Coleman and J. Liu, "An interior Newton method for quadratic programming," Math. Program., vol. 85, pp. 491-523, 1999.
-
(1999)
Math. Program.
, vol.85
, pp. 491-523
-
-
Coleman, T.F.1
Liu, J.2
-
9
-
-
0000754239
-
Iterative solution of problems of linear and quadratic programming
-
I.I. Dikin, "Iterative solution of problems of linear and quadratic programming," Sov. Math. Dokl., vol. 8, pp. 674-675, 1967.
-
(1967)
Sov. Math. Dokl.
, vol.8
, pp. 674-675
-
-
Dikin, I.I.1
-
10
-
-
0346111799
-
A barrier function method for the nonconvex quadratic programming problem with box constraints
-
C. Dang and L. Xu, "A barrier function method for the nonconvex quadratic programming problem with box constraints," J. Glob. Optim., vol. 18, no. 2, pp. 165-188, 2000.
-
(2000)
J. Glob. Optim.
, vol.18
, Issue.2
, pp. 165-188
-
-
Dang, C.1
Xu, L.2
-
11
-
-
0030541525
-
On the formulation and theory of the Newton interior-point method for nonlinear programming
-
A.S. El-Bakry, R.A. Tapia, T. Tsuchiya, and Y. Zhang, "On the formulation and theory of the Newton interior-point method for nonlinear programming," J. Opt. Theory Appl., vol. 89, pp. 507-541, 1996.
-
(1996)
J. Opt. Theory Appl.
, vol.89
, pp. 507-541
-
-
El-Bakry, A.S.1
Tapia, R.A.2
Tsuchiya, T.3
Zhang, Y.4
-
12
-
-
0032358968
-
Primal-dual interior methods for nonconvex nonlinear programming
-
A. Forsgren and P.E. Gill, "Primal-dual interior methods for nonconvex nonlinear programming," SIAM J. Optim., vol. 8, no. 4, pp. 1132-1152, 1998.
-
(1998)
SIAM J. Optim.
, vol.8
, Issue.4
, pp. 1132-1152
-
-
Forsgren, A.1
Gill, P.E.2
-
13
-
-
0036959271
-
Interior methods for nonlinear optimization
-
A. Forsgren, P. E. Gill, and M. H. Wright, "Interior methods for nonlinear optimization," SIAM Rev., vol. 44, no. 4, pp. 525-597, 2002.
-
(2002)
SIAM Rev.
, vol.44
, Issue.4
, pp. 525-597
-
-
Forsgren, A.1
Gill, P.E.2
Wright, M.H.3
-
15
-
-
0002688960
-
A primal-dual interior method for nonconvex nonlinear programming
-
Y. Yuan (ed.). Kluwer Academic Publisher
-
D.M. Gay, M.L. Overton, and M. H. Wright, "A primal-dual interior method for nonconvex nonlinear programming," Advances in Nonlinear Programming, Y. Yuan (ed.). Kluwer Academic Publisher, 1998, pp. 31-56.
-
(1998)
Advances in Nonlinear Programming
, pp. 31-56
-
-
Gay, D.M.1
Overton, M.L.2
Wright, M.H.3
-
16
-
-
17544370480
-
A general class of penalty/barrier path-following Newton methods for nonlinear programming
-
C. Grossmann and M. Zadlo, "A general class of penalty/barrier path-following Newton methods for nonlinear programming," Optim., vol. 54, no. 2, pp. 161-190, 2005.
-
(2005)
Optim.
, vol.54
, Issue.2
, pp. 161-190
-
-
Grossmann, C.1
Zadlo, M.2
-
17
-
-
33845676711
-
-
Ph.D. thesis, Université Paris IX - Dauphine, Paris, France, January
-
J.N. Herskovits, "Développement d'une méthode numérique pour l'optimization non-linéaire," Ph.D. thesis, Université Paris IX - Dauphine, Paris, France, January 1982.
-
(1982)
Développement d'Une Méthode Numérique Pour l'Optimization Non-linéaire
-
-
Herskovits, J.N.1
-
18
-
-
0022789973
-
A two-stage feasible directions algorithm for nonlinear constrained optimization
-
J.N. Herskovits, "A two-stage feasible directions algorithm for nonlinear constrained optimization," Math. Program., vol. 36, no. 1, pp. 19-38, 1986.
-
(1986)
Math. Program.
, vol.36
, Issue.1
, pp. 19-38
-
-
Herskovits, J.N.1
-
19
-
-
0024665753
-
Interior path following primal-dual algorithms. Part ii; Convex quadratic programming
-
R.D.C. Monteiro and I. Adler, "Interior path following primal-dual algorithms. Part ii; Convex quadratic programming," Math. Program., vol. 44, pp. 43-66, 1989.
-
(1989)
Math. Program.
, vol.44
, pp. 43-66
-
-
Monteiro, R.D.C.1
Adler, I.2
-
20
-
-
34249966957
-
Algorithms for bound constrained quadratic programming problems
-
J.J. More and G. Toraldo, "Algorithms for bound constrained quadratic programming problems," Numer. Math., vol. 55, no. 4, pp. 377-400, 1989.
-
(1989)
Numer. Math.
, vol.55
, Issue.4
, pp. 377-400
-
-
More, J.J.1
Toraldo, G.2
-
21
-
-
0032330782
-
Global convergence of the affine scaling algorithm for convex quadratic programming
-
R.D.C. Monteiro and T. Tsuchiya, "Global convergence of the affine scaling algorithm for convex quadratic programming," SIAM J. Optim., vol. 8, no. 1, pp. 26-58, 1998.
-
(1998)
SIAM J. Optim.
, vol.8
, Issue.1
, pp. 26-58
-
-
Monteiro, R.D.C.1
Tsuchiya, T.2
-
23
-
-
0024036003
-
A QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization
-
E.R. Panier, A.L. Tits, and J.N. Herskovits, "A QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization," SIAM J. Control Optim., vol. 26, no. 4, pp. 788-811, 1988.
-
(1988)
SIAM J. Control Optim.
, vol.26
, Issue.4
, pp. 788-811
-
-
Panier, E.R.1
Tits, A.L.2
Herskovits, J.N.3
-
24
-
-
0034553085
-
A new QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization
-
H.-D. Qi and L. Qi, "A new QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization," SIAM J. Optim., vol. 11, no. 1, pp. 113-132, 2000.
-
(2000)
SIAM J. Optim.
, vol.11
, Issue.1
, pp. 113-132
-
-
Qi, H.-D.1
Qi, L.2
-
25
-
-
14644406787
-
Convergence properties of Dikin's affine scaling algorithm fornonconvex quadratic minimization
-
P. Tseng, "Convergence properties of Dikin's affine scaling algorithm fornonconvex quadratic minimization," J. Glob. Optim., vol. 30, no. 2, pp. 285-300, 2004.
-
(2004)
J. Glob. Optim.
, vol.30
, Issue.2
, pp. 285-300
-
-
Tseng, P.1
-
26
-
-
1542291020
-
A primal-dual interior-point method for nonlinear programming with strong global and local convergence properties
-
A.L. Tits, A. Wächter, S. Bakhtiari, T.J. Urban, and C.T. Lawrence, "A primal-dual interior-point method for nonlinear programming with strong global and local convergence properties," SIAM J. Optim., vol. 14, no. 1, pp. 173-199, 2003.
-
(2003)
SIAM J. Optim.
, vol.14
, Issue.1
, pp. 173-199
-
-
Tits, A.L.1
Wächter, A.2
Bakhtiari, S.3
Urban, T.J.4
Lawrence, C.T.5
-
27
-
-
14644388938
-
On some interior-point algorithms for nonconvex quadratic optimization
-
P. Tseng and Y. Ye, "On some interior-point algorithms for nonconvex quadratic optimization," Math. Program., vol. 93, no. 2, Ser. A, pp. 217-225, 2002.
-
(2002)
Math. Program.
, vol.93
, Issue.2 SER. A
, pp. 217-225
-
-
Tseng, P.1
Ye, Y.2
-
28
-
-
0039851698
-
A simple, quadratically convergent algorithm for linear and convex quadratic programming
-
W.W. Hager, D.W. Hearn, and P.M. Pardalos (eds.), Kluwer Academic Publishers
-
A.L. Tits and J.L. Zhou, "A simple, quadratically convergent algorithm for linear and convex quadratic programming," in Large Scale Optimization: State of the Art, W.W. Hager, D.W. Hearn, and P.M. Pardalos (eds.), Kluwer Academic Publishers, pp. 411-427, 1994.
-
(1994)
Large Scale Optimization: State of the Art
, pp. 411-427
-
-
Tits, A.L.1
Zhou, J.L.2
-
29
-
-
0000287204
-
An interior-point algorithm for nonconvex nonlinear programming
-
R.J. Vanderbei and D.F. Shanno, "An interior-point algorithm for nonconvex nonlinear programming," Comp. Optim. Appl., vol. 13, pp. 231-252, 1999.
-
(1999)
Comp. Optim. Appl.
, vol.13
, pp. 231-252
-
-
Vanderbei, R.J.1
Shanno, D.F.2
-
30
-
-
0032237110
-
Ill-conditioning and computational error in interior methods for nonlinear programming
-
M. H. Wright, "Ill-conditioning and computational error in interior methods for nonlinear programming," SIAM J. Optim., vol. 9, no. 1, pp. 84-111, 1998.
-
(1998)
SIAM J. Optim.
, vol.9
, Issue.1
, pp. 84-111
-
-
Wright, M.H.1
-
31
-
-
0013058763
-
A globally convergent primal-dual interior point method for constrained optimization
-
H. Yamashita, "A globally convergent primal-dual interior point method for constrained optimization," Optim. Meth. Softw., vol. 10, pp. 443-469, 1998.
-
(1998)
Optim. Meth. Softw.
, vol.10
, pp. 443-469
-
-
Yamashita, H.1
-
32
-
-
0005279105
-
-
Ph.D. thesis, Stanford University
-
Y. Ye, "Interior algorithms for linear, quadratic, and linearly constrained convex programming," Ph.D. thesis, Stanford University, 1987.
-
(1987)
Interior Algorithms for Linear, Quadratic, and Linearly Constrained Convex Programming
-
-
Ye, Y.1
-
33
-
-
0041113138
-
An extension of Karmarkar's algorithm and the trust region method for quadratic programming
-
Springer, New York
-
Y. Ye, "An extension of Karmarkar's algorithm and the trust region method for quadratic programming," Progress in Mathematical Programming (Pacific Grove, CA, 1987). Springer, New York, 1989, pp. 49-63.
-
(1989)
Progress in Mathematical Programming (Pacific Grove, CA, 1987)
, pp. 49-63
-
-
Ye, Y.1
-
34
-
-
34249839449
-
On affine scaling algorithms for nonconvex quadratic programming
-
Y. Ye, "On affine scaling algorithms for nonconvex quadratic programming," Math. Program., vol. 56, pp. 285-300, 1992.
-
(1992)
Math. Program.
, vol.56
, pp. 285-300
-
-
Ye, Y.1
-
35
-
-
0346499291
-
On the complexity of approximating a KKT point of quadratic programming
-
Y. Ye, "On the complexity of approximating a KKT point of quadratic programming," Math. Program., vol. 80, pp. 195-211, 1998.
-
(1998)
Math. Program.
, vol.80
, pp. 195-211
-
-
Ye, Y.1
-
36
-
-
0242595921
-
A feasible sequential linear equation method for inequality constrained optimization
-
Y.-F. Yang, D.-H. Li, and L. Qi, "A feasible sequential linear equation method for inequality constrained optimization," SIAM J. Optim., vol. 13, no. 4, pp. 1222-1244, 2003.
-
(2003)
SIAM J. Optim.
, vol.13
, Issue.4
, pp. 1222-1244
-
-
Yang, Y.-F.1
Li, D.-H.2
Qi, L.3
-
37
-
-
0024683802
-
An extension of Karmarkar's projective algorithm for convex quadratic programming
-
Y. Ye and E. Tse, "An extension of Karmarkar's projective algorithm for convex quadratic programming," Math. Program., vol. 44, no. 2 (Ser. A), pp. 157-179, 1989.
-
(1989)
Math. Program.
, vol.44
, Issue.2 SER. A
, pp. 157-179
-
-
Ye, Y.1
Tse, E.2
|