A new efficient alternative extension of the Hager-Zhang conjugate gradient method for vector optimization

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Abstract

In this paper, a new efficient alternative extension of the Hager-Zhang conjugate gradient method is proposed to solve the vector optimization problem that ensures sufficient descent without relying on any linear search or convexity assumptions.We give the convergence of our proposed method combined with Wolfe line search under mild assumptions.Finally, we show through numerical experiments that our proposed method is more efficient than the extant related vector Hagar-Zhang conjugate method.

Fields of Study & Subjects

Advanced Optimization Algorithms Research Optimization and Variational Analysis Matrix Theory and Algorithms

Publication details

Journal / source
Optimization Eruditorum
Volume
3
Issue
1
Publication date
4 March 2026
Language
EN