Robust Dai-Liao Method for Conjugate Gradient Method to Solving Iteration Problems

Articles in Press

Document Type : Research Paper

Authors

Department of Mathematics, College of Computers Sciences and Mathematics University of Mosul, Iraq.

Abstract

The examination of alternative methodologies for the formulation of parameter t constitutes a captivating area of inquiry; we propose that certain modified Dai-Liao methods employing distinct parameter t under the modified quasi–Newton equation merit exploration.
This paper presents an adaptive selection for the parameter of the Dai–Liao conjugate gradient method, derived through the modified quasi–Newton equation. Consequently, we introduce a modified Dai-Liao conjugate gradient method. A noteworthy characteristic of the proposed methodology is the incorporation of both gradient and function value information into the parameter t of the modified Dai-Liao conjugate gradient method. We establish the global convergence properties of the modified Dai-Liao conjugate gradient method under certain appropriate assumptions. Numerical results demonstrate that the modified Dai-Liao method is efficacious in practical computations.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 31 October 2025

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History

  • Receive Date: 31 August 2025
  • Accept Date: 27 October 2025

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