Nosratipour, H., Sarani, F. (2018). A Note on the Descent Property Theorem for the Hybrid Conjugate Gradient Algorithm CCOMB Proposed by Andrei. Global Analysis and Discrete Mathematics, 2(2), 145-149. doi: 10.22128/gadm.2018.97
Hadi Nosratipour; Farhad Sarani. "A Note on the Descent Property Theorem for the Hybrid Conjugate Gradient Algorithm CCOMB Proposed by Andrei". Global Analysis and Discrete Mathematics, 2, 2, 2018, 145-149. doi: 10.22128/gadm.2018.97
Nosratipour, H., Sarani, F. (2018). 'A Note on the Descent Property Theorem for the Hybrid Conjugate Gradient Algorithm CCOMB Proposed by Andrei', Global Analysis and Discrete Mathematics, 2(2), pp. 145-149. doi: 10.22128/gadm.2018.97
Nosratipour, H., Sarani, F. A Note on the Descent Property Theorem for the Hybrid Conjugate Gradient Algorithm CCOMB Proposed by Andrei. Global Analysis and Discrete Mathematics, 2018; 2(2): 145-149. doi: 10.22128/gadm.2018.97
A Note on the Descent Property Theorem for the Hybrid Conjugate Gradient Algorithm CCOMB Proposed by Andrei
Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan, Iran.
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.
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