A Restricted Trust Region Method with Supermemory for Unconstrained Optimization

A Restricted Trust Region Method with Supermemory for Unconstrained Optimization

Year:    1996

Journal of Computational Mathematics, Vol. 14 (1996), Iss. 3 : pp. 195–202

Abstract

A new method for unconstrained optimization problems is presented. It belongs to the class of trust region method, in which the descent direction is sought by using the trust region steps within the restricted subspace. Because this subspace can be specified to include information about previous steps, the method is also related to a supermemory descent method without performing multiple dimensional searches. Trust region methods have attractive global convergence property. Supermemory information has good scale independence property. Since the method possesses the characteristics of both the trust region methods and the supermemory descent methods, it is endowed with rapid convergence. Numerical tests illustrate this point.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1996-JCM-9230

Journal of Computational Mathematics, Vol. 14 (1996), Iss. 3 : pp. 195–202

Published online:    1996-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords: