Comments on “A three-term derivative-free projection method for nonlinear monotone system of equations”

被引：0

作者：

J. K. Liu

S. J. Li

机构：

[1] Chongqing Three Gorges University,School of Mathematics and Statistics

[2] Chongqing University,College of Mathematics and Statistics

来源：

Calcolo | 2017年 / 54卷

关键词：

Nonlinear monotone equations; Derivative-free method; Conjugate gradient method; Projection method; Global convergence; 49M37; 65H10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this note, we show that the proof of Remark 3 of Lemma 3.2 in “A three-term derivative-free projection method for nonlinear monotone system of equations” (Calcolo 53:427–450, 2016) is not correct, which implies that the conclusion of Remark 3 is not appropriate to prove Theorem 3.1. A new proof of Remark 3 is established, which guarantees the corresponding global convergence Theorem 3.1. Throughout, we use the same notations and equation numbers as in the above reference.

引用

页码：1213 / 1215

页数：2

共 7 条

[1]

Liu JK(2016)A three-term derivative-free projection method for systems of nonlinear equations Calcolo 53 427-450

[2]

Li SJ(2011)A class of derivative-free methods for large-scale nonlinear monotone equations IMA J. Numer. Anal. 31 1625-1635

[3]

Li QN(2013)Two derivative-free projection approaches for systems of large-scale nonlinear monotone equations Numer. Algorithms 64 21-42

[4]

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