On the global convergence of trust region algorithms for unconstrained minimization

M. J. D. Powell

doi:10.1007/bf02591998

On the global convergence of trust region algorithms for unconstrained minimization

Mathematical Programming ◽

10.1007/bf02591998 ◽

1984 ◽

Vol 29 (3) ◽

pp. 297-303 ◽

Cited By ~ 122

Author(s):

M. J. D. Powell

Keyword(s):

Global Convergence ◽

Trust Region ◽

Unconstrained Minimization ◽

Trust Region Algorithms

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On the convergence of trust region algorithms for unconstrained minimization without derivatives

Computational Optimization and Applications ◽

10.1007/s10589-012-9483-x ◽

2012 ◽

Vol 53 (2) ◽

pp. 527-555 ◽

Cited By ~ 18

Author(s):

M. J. D. Powell

Keyword(s):

Trust Region ◽

Unconstrained Minimization ◽

Trust Region Algorithms

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Global convergence of trust-region algorithms for convex constrained minimization without derivatives

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.06.041 ◽

2013 ◽

Vol 220 ◽

pp. 324-330 ◽

Cited By ~ 4

Author(s):

P.D. Conejo ◽

E.W. Karas ◽

L.G. Pedroso ◽

A.A. Ribeiro ◽

M. Sachine

Keyword(s):

Global Convergence ◽

Trust Region ◽

Constrained Minimization ◽

Trust Region Algorithms

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Correction to the Paper on Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds

SIAM Journal on Numerical Analysis ◽

10.1137/0726044 ◽

1989 ◽

Vol 26 (3) ◽

pp. 764-767 ◽

Cited By ~ 24

Author(s):

A. R. Conn ◽

N. I. M. Gould ◽

Ph. L. Toint

Keyword(s):

Global Convergence ◽

Trust Region ◽

Trust Region Algorithms ◽

Simple Bounds

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A Family of Trust-Region-Based Algorithms for Unconstrained Minimization with Strong Global Convergence Properties

SIAM Journal on Numerical Analysis ◽

10.1137/0722003 ◽

1985 ◽

Vol 22 (1) ◽

pp. 47-67 ◽

Cited By ~ 146

Author(s):

Gerald A. Shultz ◽

Robert B. Schnabel ◽

Richard H. Byrd

Keyword(s):

Global Convergence ◽

Trust Region ◽

Unconstrained Minimization ◽

Convergence Properties

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A Family of Trust Region Based Algorithms for Unconstrained Minimization with Strong Global Convergence Properties.

10.21236/ada115785 ◽

1982 ◽

Cited By ~ 3

Author(s):

Gerald A. Shultz ◽

Robert B. Schnabel ◽

Richard H. Byrd

Keyword(s):

Global Convergence ◽

Trust Region ◽

Unconstrained Minimization ◽

Convergence Properties

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Global Convergence of Radial Basis Function Trust-Region Algorithms for Derivative-Free Optimization

SIAM Review ◽

10.1137/120902434 ◽

2013 ◽

Vol 55 (2) ◽

pp. 349-371 ◽

Cited By ~ 52

Author(s):

Stefan M. Wild ◽

Christine Shoemaker

Keyword(s):

Global Convergence ◽

Radial Basis Function ◽

Basis Function ◽

Trust Region ◽

Trust Region Algorithms ◽

Derivative Free Optimization ◽

Derivative Free ◽

Radial Basis

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Global Convergence of a Class of Trust Region Algorithms for Optimization Using Inexact Projections on Convex Constraints

SIAM Journal on Optimization ◽

10.1137/0803009 ◽

1993 ◽

Vol 3 (1) ◽

pp. 164-221 ◽

Cited By ~ 31

Author(s):

A. R. Conn ◽

Nick Gould ◽

A. Sartenaer ◽

Ph. L. Toint

Keyword(s):

Global Convergence ◽

Trust Region ◽

Convex Constraints ◽

Trust Region Algorithms

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A Global Convergence Theory for Dennis, El-Alem, and Maciel's Class of Trust-Region Algorithms for Constrained Optimization without Assuming Regularity

SIAM Journal on Optimization ◽

10.1137/s1052623497331762 ◽

1999 ◽

Vol 9 (4) ◽

pp. 965-990 ◽

Cited By ~ 17

Author(s):

Mahmoud El-Alem

Keyword(s):

Global Convergence ◽

Constrained Optimization ◽

Trust Region ◽

Convergence Theory ◽

Trust Region Algorithms

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On the Global Convergence of Nonmonotone Trust Region Algorithms for Nonsmooth Optimization

2011 International Conference on Computer and Management (CAMAN) ◽

10.1109/caman.2011.5778777 ◽

2011 ◽

Author(s):

Min Xi ◽

Houchun Zhou

Keyword(s):

Global Convergence ◽

Nonsmooth Optimization ◽

Trust Region ◽

Trust Region Algorithms

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On the Global Convergence of Trust Region Algorithms Using Inexact Gradient Information

SIAM Journal on Numerical Analysis ◽

10.1137/0728014 ◽

1991 ◽

Vol 28 (1) ◽

pp. 251-265 ◽

Cited By ~ 51

Author(s):

Richard G. Carter

Keyword(s):

Global Convergence ◽

Trust Region ◽

Gradient Information ◽

Trust Region Algorithms

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