A Convergence Theory for a Class of Quasi-Newton Methods for Constrained Optimization

Rodrigo Fontecilla; Trond Steihaug; Richard A. Tapia

doi:10.1137/0724075

A Convergence Theory for a Class of Quasi-Newton Methods for Constrained Optimization

SIAM Journal on Numerical Analysis ◽

10.1137/0724075 ◽

1987 ◽

Vol 24 (5) ◽

pp. 1133-1151 ◽

Cited By ~ 41

Author(s):

Rodrigo Fontecilla ◽

Trond Steihaug ◽

Richard A. Tapia

Keyword(s):

Constrained Optimization ◽

Convergence Theory ◽

Newton Methods ◽

Quasi Newton

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A Convergence Theory for a Class of Quasi-Newton Methods for Constrained Optimization

10.21236/ada453208 ◽

1986 ◽

Author(s):

Rodrigo Fontecilla ◽

Trond Steihaug ◽

Richard A. Tapia

Keyword(s):

Constrained Optimization ◽

Convergence Theory ◽

Newton Methods ◽

Quasi Newton

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A Numerical Algorithm for Solving Constrained Optimization Problems by Quasi-Newton Methods

Journal of King Abdulaziz University-Science ◽

10.4197/sci.1-1.14 ◽

1989 ◽

Vol 1 (1) ◽

pp. 171-190

Author(s):

H. AHMED

Keyword(s):

Constrained Optimization ◽

Numerical Algorithm ◽

Optimization Problems ◽

Newton Methods ◽

Constrained Optimization Problems ◽

Quasi Newton

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On the Realization of the Wolfe Conditions in Reduced Quasi-Newton Methods for Equality Constrained Optimization

SIAM Journal on Optimization ◽

10.1137/s1052623493259604 ◽

1997 ◽

Vol 7 (3) ◽

pp. 780-813 ◽

Cited By ~ 1

Author(s):

Jean Charles Gilbert

Keyword(s):

Constrained Optimization ◽

Newton Methods ◽

Wolfe Conditions ◽

Equality Constrained Optimization ◽

Quasi Newton

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Diagonalized multiplier methods and quasi-Newton methods for constrained optimization

Journal of Optimization Theory and Applications ◽

10.1007/bf00933161 ◽

1977 ◽

Vol 22 (2) ◽

pp. 135-194 ◽

Cited By ~ 111

Author(s):

R. A. Tapia

Keyword(s):

Constrained Optimization ◽

Newton Methods ◽

Multiplier Methods ◽

Quasi Newton

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Quasi-newton methods for a class of nonsmooth constrained optimization problems

System Modeling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006178 ◽

2005 ◽

pp. 548-556

Author(s):

Ekkehard Sachs

Keyword(s):

Constrained Optimization ◽

Optimization Problems ◽

Newton Methods ◽

Constrained Optimization Problems ◽

Quasi Newton

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Q-SUPERLINEAR CONVERGENCE OF PRIMAL-DUAL INTERIOR POINT QUASI-NEWTON METHODS FOR CONSTRAINED OPTIMIZATION

Journal of the Operations Research Society of Japan ◽

10.15807/jorsj.40.415 ◽

1997 ◽

Vol 40 (3) ◽

pp. 415-436 ◽

Cited By ~ 9

Author(s):

Hiroshi Yabe ◽

Hiroshi Yamashita

Keyword(s):

Constrained Optimization ◽

Interior Point ◽

Superlinear Convergence ◽

Newton Methods ◽

Primal Dual ◽

Quasi Newton

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Role of slack variables in quasi-Newton methods for constrained optimization

10.2172/5582935 ◽

1979 ◽

Cited By ~ 3

Author(s):

R A Tapia

Keyword(s):

Constrained Optimization ◽

Newton Methods ◽

Slack Variables ◽

Quasi Newton

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QUASI-NEWTON METHODS FOR EQUALITY CONSTRAINED OPTIMIZATION: EQUIVALENCE OF EXISTING METHODS AND A NEW IMPLEMENTATION11This work was supported by the United States Department of Energy under contract EY-76-S-05-5046.

Nonlinear Programming 3 ◽

10.1016/b978-0-12-468660-1.50010-4 ◽

1978 ◽

pp. 125-164 ◽

Cited By ~ 13

Author(s):

R.A. Tapia

Keyword(s):

United States ◽

Constrained Optimization ◽

The United States ◽

Department Of Energy ◽

United States Department ◽

Newton Methods ◽

States Department ◽

Equality Constrained Optimization ◽

Quasi Newton

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Reduced quasi-Newton methods with feasibility improvement for nonlinearly constrained optimization

Mathematical Programming Studies - Algorithms for Constrained Minimization of Smooth Nonlinear Functions ◽

10.1007/bfb0120946 ◽

1982 ◽

pp. 18-44 ◽

Cited By ~ 71

Author(s):

Daniel Gabay

Keyword(s):

Constrained Optimization ◽

Newton Methods ◽

Nonlinearly Constrained Optimization ◽

Quasi Newton

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On the characterization of $q$-superlinear convergence of quasi-Newton methods for constrained optimization

Mathematics of Computation ◽

10.1090/s0025-5718-1987-0906190-8 ◽

1987 ◽

Vol 49 (180) ◽

pp. 581-581

Author(s):

J. Stoer ◽

R. A. Tapia

Keyword(s):

Constrained Optimization ◽

Superlinear Convergence ◽

Newton Methods ◽

Quasi Newton

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