학술논문

On the unique solution of a class of absolute value equations Ax−B|Cx|=d
Document Type
article
Source
AIMS Mathematics, Vol 6, Iss 8, Pp 8912-8919 (2021)
Subject
sufficient condition
unique solution
absolute value equation
Mathematics
QA1-939
Language
English
ISSN
2473-6988
Abstract
In this paper, a class of absolute value equations (AVE) $ Ax-B|Cx| = d $ with $ A, B, C\in \mathbb{R}^{n\times n} $ is considered, which is a generalized form of the published works by Wu [1], Wu and Shen [2] and Mezzadri [3]. Some conditions to guarantee the unique solution of the above AVE are gained. The corresponding results of the above published works are generalized.