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
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Citations: View citations in EconPapers (4)
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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
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