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On the Unique Solvability of the Absolute Value Equation

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Abstract

In this paper, the unique solvability of the absolute value equation is further discussed. From the perspective of some special matrices and iteration forms, some new and useful results for the unique solvability of the absolute value equation are obtained.

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Acknowledgments

The authors would like to thank two anonymous referees for providing helpful suggestions, which greatly improved the paper. This research was supported by NSFC (No. 11301009) and by Natural Science Foundations of Henan Province (No. 15A110007).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Anyang Normal University, Anyang, 455000, People’s Republic of China

    Shi-Liang Wu & Peng Guo

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  1. Shi-Liang Wu
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  2. Peng Guo
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Correspondence to Shi-Liang Wu.

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Wu, SL., Guo, P. On the Unique Solvability of the Absolute Value Equation. J Optim Theory Appl 169, 705–712 (2016). https://doi.org/10.1007/s10957-015-0845-2

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  • DOI: https://doi.org/10.1007/s10957-015-0845-2

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