A Modified BFGS Formula Maintaining Positive Definiteness with Armijo-Goldstein Steplengths

A Modified BFGS Formula Maintaining Positive Definiteness with Armijo-Goldstein Steplengths

Year:    1995

Journal of Computational Mathematics, Vol. 13 (1995), Iss. 2 : pp. 156–160

Abstract

The line search subproblem in unconstrained optimization is concerned with finding an acceptable steplength satisfying certain standard conditions. The conditions proposed in the early work of Armijo and Goldstein are sometimes replaced by those recommended by Wolfe because these latter conditions automatically allow positive definiteness of some popular quasi-Newton updates to be maintained. It is shown that a slightly modified form of quasi-Newton update allows positive definiteness to be maintained even if line searches based on the Armijo-Goldstein conditions are used.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1995-JCM-9258

Journal of Computational Mathematics, Vol. 13 (1995), Iss. 2 : pp. 156–160

Published online:    1995-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords: