A Self-Adaptive Trust Region Algorithm

A Self-Adaptive Trust Region Algorithm

Year:    2003

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 2 : pp. 229–236

Abstract

In this paper we propose a self-adaptive trust region algorithm. The trust region radius is updated at a variable rate according to the ratio between the actual reduction and the predicted reduction of the objective function, rather than by simply enlarging or reducing the original trust region radius at a constant rate. We show that this new algorithm preserves the strong convergence property of traditional trust region methods. Numerical results are also presented.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JCM-10277

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 2 : pp. 229–236

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Trust region Unconstrained optimization Nonlinear optimization.