publication . Article . 2021

A New conjugate gradient method for unconstrained optimization problems with descent property

Hussein Ageel Khatab; Salah Gazi Shareef;
Open Access English
  • Published: 01 Feb 2021 Journal: General Letters in Mathematics, volume 9, issue 2, pages 101-105 (issn: 2519-9269, eissn: 2519-9277, Copyright policy)
  • Publisher: Refaad
Abstract
<jats:p>In this paper, we propose a new conjugate gradient method for solving nonlinear unconstrained optimization. The new method consists of three parts, the first part of them is the parameter of Hestenes-Stiefel (HS). The proposed method is satisfying the descent condition, sufficient descent condition and conjugacy condition. We give some numerical results to show the efficiency of the suggested method.</jats:p>
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Subjects
free text keywords: unconstrained optimization, conjugate gradient method, three term conjugate gradient algorithm, descent condition, lcsh:Mathematics, lcsh:QA1-939, Applied mathematics, Conjugate gradient method, Mathematics, Unconstrained optimization
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