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An iterative method for solving absolute value equations and sufficient conditions for unique solvability

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Abstract

We describe an iterative method for solving absolute value equations. The result gives a sufficient condition for unique solvability of these equations for arbitrary right-hand sides. This sufficient condition is compared with that one by Mangasarian and Meyer.

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Acknowledgments

The authors thank the referee for helpful suggestions that resulted in essential improvement of the text of the paper.

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Authors and Affiliations

  1. Institute of Computer Science, Czech Academy of Sciences, Prague, Czech Republic

    Jiri Rohn

  2. Young Researchers Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran

    Vahideh Hooshyarbakhsh & Raena Farhadsefat

Authors
  1. Jiri Rohn
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  2. Vahideh Hooshyarbakhsh
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  3. Raena Farhadsefat
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Correspondence to Jiri Rohn.

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Rohn, J., Hooshyarbakhsh, V. & Farhadsefat, R. An iterative method for solving absolute value equations and sufficient conditions for unique solvability. Optim Lett 8, 35–44 (2014). https://doi.org/10.1007/s11590-012-0560-y

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  • DOI: https://doi.org/10.1007/s11590-012-0560-y

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