Title
Further comment on another hybrid conjugate gradient algorithm for unconstrained optimization by Andrei.
Abstract
In Dai and Wen (Numer. Algor. 69, 337–341 2015), some improvements have been presented in the proof of Theorem 2 and Theorem 4 in Andrei (Numer. Algor. 47, 143–156 2008). However, due to incorrect inequalities used, the reasoning proof of Theorem 2.1 in Dai and Wen (Numer. Algor. 69, 337–341 2015) is incorrect. Moreover, the assumption on 0 < c1 ≤ ��k < 1 of Theorem 2.1 cannot be deleted in Dai and Wen (Numer. Algor. 69, 337–341 2015). In this paper, the necessary corrections are made. Finally, another version of the proof process of Theorem 3.1 in (Numer. Algor. 69, 337–341 2015) is given. Throughout, we use the same notations and equation numbers as in Dai and Wen (Numer. Algor. 69, 337–341 2015), Andrei (Numer. Algor. 47, 143–156 2008).
Year
DOI
Venue
2020
10.1007/s11075-019-00771-1
Numerical Algorithms
Keywords
DocType
Volume
Conjugate gradient method, Wolfe line search, Sufficient descent property
Journal
84
Issue
ISSN
Citations 
2
1017-1398
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Xiuyun Zheng1175.42
Xiaoliang Dong231.52
Jiarong Shi3707.00
Wei Yang4173.91