An Efficient Mixed Conjugate Gradient Method for Solving Unconstrained Optimisation Problems

An Efficient Mixed Conjugate Gradient Method for Solving Unconstrained Optimisation Problems

Year:    2021

Author:    P. Mtagulwa, P. Kaelo

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 421–434

Abstract

Conjugate gradient algorithms are most commonly used to solve large scale unconstrained optimisation problems. They are simple and do not require the computation and/or storage of the second derivative information about the objective function. We propose a new conjugate gradient method and establish its global convergence under suitable assumptions. Numerical examples demonstrate the efficiency and effectiveness of our method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.140720.251220

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 421–434

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Global convergence conjugate gradient method sufficient descent strong Wolfe conditions.

Author Details

P. Mtagulwa

P. Kaelo

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