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On Generalized Traub’s Method for Absolute Value Equations

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  • Farhad Khaksar Haghani

    (Shahrekord Branch, Islamic Azad University)

Abstract

In this paper, we introduce an extension of the well-known two-step Traub’s method for solving absolute value equations. It is proved that the obtained sequence of vector iterations is well defined with linear convergence. Numerical examples are given to re-verify the effectiveness of the proposed method.

Suggested Citation

  • Farhad Khaksar Haghani, 2015. "On Generalized Traub’s Method for Absolute Value Equations," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 619-625, August.
    • Handle: RePEc:spr:joptap:v:166:y:2015:i:2:d:10.1007_s10957-015-0712-1
    DOI: 10.1007/s10957-015-0712-1
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    References listed on IDEAS

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    1. C. Zhang & Q. J. Wei, 2009. "Global and Finite Convergence of a Generalized Newton Method for Absolute Value Equations," Journal of Optimization Theory and Applications, Springer, vol. 143(2), pages 391-403, November.
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    Cited by:

    1. An Wang & Yang Cao & Jing-Xian Chen, 2019. "Modified Newton-Type Iteration Methods for Generalized Absolute Value Equations," Journal of Optimization Theory and Applications, Springer, vol. 181(1), pages 216-230, April.

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