A class of trust region methods for nonlinear network optimization problems

Research output: Contribution to journalArticle

20 Downloads (Pure)

Abstract

We describe the results of a series of tests upon a class of new methods of trust region type for solving the nonlinear network optimization problem. The trust region technique considered is characterized by the use of the infinity norm and of inexact projections on the network constraints. The results are encouraging and show that this approach is particularly useful in solving large-scale nonlinear network optimization problems, especially when many bound constraints are expected to be active at the solution.
Original languageEnglish
Pages (from-to)379-407
Number of pages29
JournalSIAM Journal on Optimization
Volume5
Issue number2
Publication statusPublished - 1995

Fingerprint

Nonlinear networks
Trust Region Method
Trust Region
Network Optimization
Nonlinear Optimization
Optimization Problem
Bound Constraints
Infinity
Projection
Norm
Series
Class

Cite this

@article{36ed6b96870a4f8abab51068cdd28aeb,
title = "A class of trust region methods for nonlinear network optimization problems",
abstract = "We describe the results of a series of tests upon a class of new methods of trust region type for solving the nonlinear network optimization problem. The trust region technique considered is characterized by the use of the infinity norm and of inexact projections on the network constraints. The results are encouraging and show that this approach is particularly useful in solving large-scale nonlinear network optimization problems, especially when many bound constraints are expected to be active at the solution.",
author = "Annick Sartenaer",
year = "1995",
language = "English",
volume = "5",
pages = "379--407",
journal = "SIAM Journal on Optimization",
issn = "1052-6234",
publisher = "Society for Industrial and Applied Mathematics",
number = "2",

}

A class of trust region methods for nonlinear network optimization problems. / Sartenaer, Annick.

In: SIAM Journal on Optimization, Vol. 5, No. 2, 1995, p. 379-407.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A class of trust region methods for nonlinear network optimization problems

AU - Sartenaer, Annick

PY - 1995

Y1 - 1995

N2 - We describe the results of a series of tests upon a class of new methods of trust region type for solving the nonlinear network optimization problem. The trust region technique considered is characterized by the use of the infinity norm and of inexact projections on the network constraints. The results are encouraging and show that this approach is particularly useful in solving large-scale nonlinear network optimization problems, especially when many bound constraints are expected to be active at the solution.

AB - We describe the results of a series of tests upon a class of new methods of trust region type for solving the nonlinear network optimization problem. The trust region technique considered is characterized by the use of the infinity norm and of inexact projections on the network constraints. The results are encouraging and show that this approach is particularly useful in solving large-scale nonlinear network optimization problems, especially when many bound constraints are expected to be active at the solution.

M3 - Article

VL - 5

SP - 379

EP - 407

JO - SIAM Journal on Optimization

JF - SIAM Journal on Optimization

SN - 1052-6234

IS - 2

ER -