On the unique solvability and numerical study of absolute value equations

The aim of this paper is twofold. Firstly, we consider the unique solvability of absolute value equations (AVE), \(Ax-B\vert x\vert =b\), when the condition \(\Vert A^{-1}\Vert <\frac{1}{\left\Vert B\right\Vert }\) holds. This is a generalization of an earlier result by Mangasarian and Meyer for...

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Bibliographic Details
Main Author: Achache Mohamed
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2019-12-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:http://localhost/jnaat/journal/article/view/1182