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[1] Alexander J. Zaslavski.
Existence of Exact Penalty in Constrained Optimization and
the Mordukhovich Basic Subdifferential.
Contemp. Math.
568
(2012)
251-257.
Book volume table of contents
View Article: PDF
[2] Manal Gabour and Simeon Reich.
The Expected Retraction Method in Banach Spaces.
Contemp. Math.
568
(2012)
69-75.
Book volume table of contents
View Article: PDF
[3] Frédéric Bernard, Lionel Thibault and Nadia Zlateva.
Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties.
Trans. Amer. Math. Soc.
363
(2011)
2211-2247.
MR 2746681.
Abstract, references, and article information
View Article: PDF
[4] Carlos Beltrán and Luis Miguel Pardo.
Smale's 17th problem: Average polynomial time to compute affine and projective solutions.
J. Amer. Math. Soc.
22
(2009)
363-385.
MR 2476778.
Abstract, references, and article information
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[5] Biagio Ricceri.
The problem of minimizing locally a $C^2$ functional around non-critical points is well-posed.
Proc. Amer. Math. Soc.
135
(2007)
2187-2191.
MR 2299496.
Abstract, references, and article information
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[6] Margaret H. Wright.
The interior-point revolution in optimization: History, recent developments, and lasting consequences.
Bull. Amer. Math. Soc.
42
(2005)
39-56.
MR 2115066.
Abstract, references, and article information
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[7] Marcelo Queiroz, Joaquim Júdice and Carlos Humes, Jr..
The symmetric eigenvalue complementarity problem.
Math. Comp.
73
(2004)
1849-1863.
MR 2059739.
Abstract, references, and article information
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[8] Yu-Hong Dai.
A family of hybrid conjugate gradient methods for unconstrained optimization.
Math. Comp.
72
(2003)
1317-1328.
MR 1972738.
Abstract, references, and article information
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[9] J. V. Burke, A. S. Lewis and M. L. Overton.
Optimizing matrix stability.
Proc. Amer. Math. Soc.
129
(2001)
1635-1642.
MR 1814091.
Abstract, references, and article information
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[10] R. A. Poliquin, R. T. Rockafellar and L. Thibault.
Local differentiability of distance functions.
Trans. Amer. Math. Soc.
352
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5231-5249.
MR 1694378.
Abstract, references, and article information
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[11] Y. H. Dai and Y. Yuan.
A three-parameter family of nonlinear conjugate gradient methods.
Math. Comp.
70
(2001)
1155-1167.
MR 1826579.
Abstract, references, and article information
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[12] Liqun Qi and Defeng Sun.
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems.
Math. Comp.
69
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283-304.
MR 1642766.
Abstract, references, and article information
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[13] X. Chen, L. Qi and D. Sun.
Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities.
Math. Comp.
67
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MR 1458218.
Abstract, references, and article information
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[14] Jerzy Grzybowski and Ryszard Urbanski.
On convex class of pairs of convex bodies.
Proc. Amer. Math. Soc.
125
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3397-3401.
MR 1403131.
Abstract, references, and article information
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[15] Q. Ni and Y. Yuan.
A subspace limited memory quasi-Newton algorithm for large-scale nonlinear bound constrained optimization.
Math. Comp.
66
(1997)
1509-1520.
MR 1422793.
Abstract, references, and article information
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[16] A. R. Conn, Nick Gould and Ph. L. Toint.
A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds.
Math. Comp.
66
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261-288.
MR 1370850.
Abstract, references, and article information
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[17] R. A. Poliquin and R. T. Rockafellar.
Prox-regular functions in variational analysis.
Trans. Amer. Math. Soc.
348
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MR 1333397.
Abstract, references, and article information
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[18] Joseph B. Muskat.
Generalized Fibonacci and Lucas sequences and
rootfinding methods
.
Math. Comp.
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MR 1192974.
Abstract, references, and article information
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On pseudo-differentiability
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Trans. Amer. Math. Soc.
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MR 992605.
Abstract, references, and article information
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[20] José Mario Martínez.
Local convergence theory of inexact Newton methods
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.
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MR 1023050.
Abstract, references, and article information
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On the smoothness of convex envelopes
.
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MR 986024.
Abstract, references, and article information
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[22] R. T. Rockafellar.
Generalized second derivatives of convex functions
and saddle functions
.
Trans. Amer. Math. Soc.
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51-77.
MR 1031242.
Abstract, references, and article information
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[23] Richard Tapia.
On secant updates for use in general constrained
optimization
.
Math. Comp.
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MR 942149.
Abstract, references, and article information
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[24] Andrew R. Conn, Nicholas I. M. Gould and Philippe L. Toint.
Testing a class of methods for solving minimization
problems with simple bounds on the variables
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Math. Comp.
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MR 929544.
Abstract, references, and article information
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[25] Hang-Chin Lai and Lai-Jui Lin.
The Fenchel-Moreau theorem for set functions
.
Proc. Amer. Math. Soc.
103
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85-90.
MR 938649.
Abstract, references, and article information
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[26] R. T. Rockafellar.
First- and second-order epi-differentiability in
nonlinear programming
.
Trans. Amer. Math. Soc.
307
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75-108.
MR 936806.
Abstract, references, and article information
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[27] J. Stoer and R. A. Tapia.
On the characterization of $q$-superlinear
convergence of quasi-Newton methods for constrained
optimization
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Math. Comp.
49
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581-584.
MR 906190.
Abstract, references, and article information
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[28] Doug Ward.
Convex subcones of the contingent cone in nonsmooth
calculus and optimization
.
Trans. Amer. Math. Soc.
302
(1987)
661-682.
MR 891640.
Abstract, references, and article information
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[29] Lionel Thibault.
Tangent cones and quasi-interiorly tangent cones to
multifunctions
.
Trans. Amer. Math. Soc.
277
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601-621.
MR 694379.
Abstract, references, and article information
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[30] R. W. Chaney.
A general sufficiency theorem for nonsmooth
nonlinear programming
.
Trans. Amer. Math. Soc.
276
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235-245.
MR 684505.
Abstract, references, and article information
View Article: PDF
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