A three-term projection method based on spectral secant equation for nonlinear monotone equations

被引：7

作者：

Zhang, N. ^{[1
]}

Liu, J. K. ^{[1
]}

Tang, B. ^{[1
]}

机构：

[1] Chongqing Three Gorges Univ, Coll Math & Stat, Chongqing 404100, Peoples R China

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2024年 / 41卷 / 01期

关键词：

Nonlinear equations; Projection technique; Global convergence; Signal recovery; CONJUGATE-GRADIENT METHOD; VARIATIONAL INEQUALITY; CONVERGENCE; SYSTEMS;

D O I：

10.1007/s13160-023-00624-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a three-term derivative-free projection algorithm for handling large-scale nonlinear monotone equations with convex constrained. The search direction generated by the proposed algorithm satisfies sufficient descent condition at every iteration. Under some suitable conditions, the global convergence of the algorithm is established. Numerical experiments are provided to show the algorithm is promising and competitive for solving monotone nonlinear equations. In addition, we applied the algorithm to solve signal processing problem arising from compressive sensing.

引用

页码：617 / 635

页数：19

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