绝对值方程的例外族及解存在的条件

Journal of Jilin University Science Edition

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Exceptional Family of Elements and Existence Conditionof Solution for Absolute Value Equation

JIANG Xingwu¹, JIANG Boyang², WANG Xiuyu³

1. Department of Foundation, Jilin Business and Technology College, Changchun 130507, China;2. College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing 100022,China; 3. School of Basic Science, Changchun University of Technology, Changchun 130012, China

Received:2017-03-08 Online:2017-09-26 Published:2017-09-26
Contact: WANG Xiuyu E-mail:wangxiuyu.000@163.com

Abstract

Abstract: We used the theory of topological degree to study a sufficient condition for solvability of absolute value equation. The results show that the absolute value equation has a solution or has a exceptional family of elements. Furthermore, by this conclusion, we obtain the noexistence of the exceptional family of elements, when matrix A is a generalized cubic matrix, so the absolute value equation has a solution.

Key words: absolute value equation, generalized cubic matrix, exceptional family of elements

CLC Number:

O221

JIANG Xingwu, JIANG Boyang, WANG Xiuyu. Exceptional Family of Elements and Existence Conditionof Solution for Absolute Value Equation[J].Journal of Jilin University Science Edition, 2017, 55(05): 1184-1186.

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Exceptional Family of Elements and Existence Conditionof Solution for Absolute Value Equation

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