Preconditioned conjugate gradient methods for absolute value equations

We investigate the NP-hard absolute value equations (AVE), \(Ax-B|x| =b\), where \(A,B\) are given symmetric matrices in \(\mathbb{R}^{n\times n}, \ b\in \mathbb{R}^{n}\). By reformulating the AVE as an equivalent unconstrained convex quadratic optimization, we prove that the unique solution of the...

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Bibliographic Details
Main Authors: Nassima Anane, Mohamed Achache
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2020-09-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1197