Some techniques for solving absolute value equations

In this paper, we introduce and analyze two new methods for solving the NP-hard absolute value equations (AVE) Ax−|x|=b, where A is an arbitrary n × n real matrix and b ∈ Rn, in the case, singular value of A exceeds 1. The comparison with other known methods is carried to show the effectiveness of t...

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Bibliographic Details

Published in:	Applied mathematics and computation Vol. 268; pp. 696 - 705
Main Authors:	Moosaei, H., Ketabchi, S., Noor, M.A., Iqbal, J., Hooshyarbakhsh, V.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.10.2015
Subjects:	Absolute value equation Generalized Newton method Homotopy perturbation method Singular values The successive linearization algorithm Absolute value equation 90C33 Singular values 15A06 Homotopy perturbation method 65H10 Generalized Newton method The successive linearization algorithm
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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