广义绝对值方程组唯一可行解注记

数学物理学报 ›› 2020, Vol. 40 ›› Issue (1): 44-48.

广义绝对值方程组唯一可行解注记

李翠霞(),吴世良*

^{云南师范大学数学学院昆明 650500}

收稿日期:2018-07-27 出版日期:2020-01-26 发布日期:2020-04-08
通讯作者: 吴世良 E-mail:lixiatk@126.com
作者简介:李翠霞, E-mail:lixiatk@126.com
基金资助:
国家自然科学基金(11961082)

On the Sole Solvability of General Absolute Value Equation

Cuixia Li(),Shiliang Wu*

^{School of Mathematics, Yunnan Normal University, Kunming 650500}

Received:2018-07-27 Online:2020-01-26 Published:2020-04-08
Contact: Shiliang Wu E-mail:lixiatk@126.com
Supported by:
国家自然科学基金(11961082)

摘要/Abstract

摘要：

该文主要考虑广义绝对值方程组唯一可行解的存在性.基于区间矩阵的正则性及矩阵的2-范数，给出一些新的有用的结果可用于确定广义绝对值方程组的唯一可行解.

关键词: 广义绝对值方程组, 区间矩阵, 正则性, 唯一可行解

Abstract:

In this paper, we focuss on the existence of the sole solvability of the general absolute value equation. Based on the regularity of interval matrices, along with the consistent matrix 2-norm, some new and useful results are presented to ensure the sole solvability of the general absolute value equation.

Key words: General absolute value equation, Interval matrix, Regularity, Sole solvability

中图分类号:

O241.6

李翠霞,吴世良. 广义绝对值方程组唯一可行解注记[J]. 数学物理学报, 2020, 40(1): 44-48.

Cuixia Li,Shiliang Wu. On the Sole Solvability of General Absolute Value Equation[J]. Acta mathematica scientia,Series A, 2020, 40(1): 44-48.

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