In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers
Optimization & Operations Research
Some Hybrid Conjugate Gradient Methods Based on Barzilai-Borwein Approach for Solving Two-Dimensional Unconstrained Optimization Problems

Farzad Rahpeymaii; Majid Rostami

Volume 11, Issue 1 , January 2026, , Pages 59-71

https://doi.org/10.30473/coam.2025.74997.1317

Abstract
  The conjugate gradient ({CG}) method is one of the simplest and most widely used approaches for unconstrained optimization, and our focus is on two-dimensional problems with numerous practical applications. We devise three hybrid {CG} methods in which the hybrid parameter is constructed from the Barzilai–Borwein ...  Read More

Some Hybrid Conjugate Gradient Methods Based on Barzilai-Borwein Approach for Solving Two-Dimensional Unconstrained Optimization Problems


Optimization & Operations Research
A New Hybrid Conjugate Gradient Method Based on Eigenvalue Analysis for Unconstrained Optimization Problems

Farzad Rahpeymaii; majid rostami

Volume 3, Issue 1 , July 2018, , Pages 27-43

https://doi.org/10.30473/coam.2019.44564.1108

Abstract
  In this paper‎, ‎two extended three-term conjugate gradient methods based on the Liu-Storey ({\tt LS})‎ ‎conjugate gradient method are presented to solve unconstrained optimization problems‎. ‎A remarkable property of the proposed methods is that the search direction always satisfies‎ ...  Read More