A Modified Spectral Methods for Large-Scale UnconStrained

Basim A. Hassan; Haneen A. Alashoor

doi:10.23851/mjs.v29i1.576

A Modified Spectral Methods for Large-Scale UnconStrained

Authors

Basim A. Hassan Department of Mathematics, College of Computers Sciences and Mathematics, University of Mosul
Haneen A. Alashoor Department of Mathematics, College of Computers Sciences and Mathematics, University of Mosul

DOI:

https://doi.org/10.23851/mjs.v29i1.576

Keywords:

Conjugate gradient, Spectral conjugate gradient, Global convergence, Numerical results.

Abstract

A modified spectral methods for solving unconstrained optimization problems based on the formulae are derived which are given in [4, 5]. The proposed methods satisfied the descent condition. Moreover, we prove that the new spectral methods are globally convergent. The Numerical results show that the proposed methods effective by comparing with the FR-method.

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Key Dates

Published

31-10-2018

Issue

Vol. 29 No. 1 (2018)

Section

Original Article

License

(Starting May 5, 2024) Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgement of the work’s authorship and initial publication in this journal.

How to Cite

[1]

B. A. Hassan and H. A. Alashoor, “A Modified Spectral Methods for Large-Scale UnconStrained”, Al-Mustansiriyah J. Sci., vol. 29, no. 1, pp. 127–132, Oct. 2018, doi: 10.23851/mjs.v29i1.576.