A new fixed point iterative method for solving tensor absolute value equation

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-09-06 DOI:10.1007/s40314-024-02913-1

Xin-Mei Lv, Shu-Xin Miao

引用次数: 0

Abstract

The main objective of this paper is to solve tensor absolute value equation when it has a positive solution. We derive several existence conditions for the positive solution of tensor absolute value equation with some structure tensors, and then propose a new fixed point iterative method for solving this class of equation. We study the convergence of the proposed method under appropriate conditions. Finally, we show the feasibility of the proposed method by three numerical examples.

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求解张量绝对值方程的新定点迭代法

本文的主要目的是求解张量绝对值方程的正解。我们推导了具有某些结构张量的张量绝对值方程正解的几个存在条件，然后提出了求解这类方程的一种新的定点迭代法。我们研究了所提方法在适当条件下的收敛性。最后，我们通过三个数值实例说明了所提方法的可行性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.