10.07.2019 | Original Paper | Ausgabe 2/2020
Further comment on another hybrid conjugate gradient algorithm for unconstrained optimization by Andrei
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- Numerical Algorithms > Ausgabe 2/2020
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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 ≤ 𝜃k < 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).
