Global convergence of three-term conjugate gradient methods on general functions under a new inexact line search strategy

Abstract

This article deals with the global convergence of 3-Term Conjugate Gradient (3TCG) methods on general functions under a novel Inexact Line Search (ILS) strategy. The proposed algorithm satisfies the sufficient descent condition, and its global convergence can be easily proved. To verify the efficiency of the authors' theoretical approach, some numerical experiments and comparisons are presented. These results show that the suggested method is sufficiently efficient and comparable to new similar strategies for solving unconstrained optimization problems.

Keywords:

• Unconstrained optimization
• global convergence
• conjugate gradient method
• three-term conjugate gradient method

Disclosure statement

No actual or potential conflict of interest was reported by the authors.

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Data availability statement

The authors confirm that the data supporting the findings of this study are available within the article and its supplemental data. Raw data that support the finding of this study are available from the corresponding author, upon reasonable request.