Non-Quasi-Newton Updates for Unconstrained Optimization

Non-Quasi-Newton Updates for Unconstrained Optimization

Year:    1995

Author:    Ya-Xiang Yuan, Richard H. Byrd

Journal of Computational Mathematics, Vol. 13 (1995), Iss. 2 : pp. 95–107

Abstract

In this report we present some new numerical methods for unconstrained optimization. These methods apply update formulae that do not satisfy the quasi-Newton equation. We derive these new formulae by considering different techniques of approximating the objective function. Theoretical analyses are given to show the advantages of using non-quasi-Newton updates. Under mild conditions we prove that our new update formulae preserve global convergence properties. Numerical results are also presented.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1995-JCM-9253

Journal of Computational Mathematics, Vol. 13 (1995), Iss. 2 : pp. 95–107

Published online:    1995-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:   

Author Details

Ya-Xiang Yuan

Richard H. Byrd