Some techniques for solving absolute value equations

H. Moosaei, S. Ketabchi, M.A. Noor, J. Iqbal and V. Hooshyarbakhsh

Applied Mathematics and Computation, 2015, vol. 268, issue C, 696-705

Abstract: 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 the proposed methods for a variety of randomly generated problems. The ideas and techniques of this paper may stimulate further research.

Keywords: Absolute value equation; Generalized Newton method; Homotopy perturbation method; The successive linearization algorithm; Singular values (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630031500853X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:696-705

DOI: 10.1016/j.amc.2015.06.072

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().