A Note on the Descent Property Theorem for the Hybrid Conjugate Gradient Algorithm CCOMB Proposed by Andrei

Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In [1] (Hybrid Conjugate Gradient Algorithm for Unconstrained Optimization J. Optimization. Theory Appl. 141 (2009) 249 - 264), an efficient hybrid conjugate gradient algorithm, the CCOMB algorithm is proposed for solving unconstrained optimization problems. However, the proof of Theorem 2.1 in [1] is incorrect due to an erroneous inequality which used to indicate the descent property for the search direction of the CCOMB algorithm. It is also remarkable that the proof of the Theorem 2.2 should be revised. Following the notations in [1], the main goal of this note is to provide some necessary corrections to rectify the mentioned issues.
Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:2 Issue: 2, Winter and Spring 2018
Pages:
145 to 149
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