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On Generalized Traub’s Method for Absolute Value Equations

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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.

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Acknowledgments

The author is indebted to the suggestions and comments of the two referees, which provided some significant improvements on the quality of this paper. Also, the author thanks ’Shahrekord Branch, Islamic Azad University, Shahrekord, Iran,’ for financial support.

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Correspondence to Farhad Khaksar Haghani.

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Haghani, F.K. On Generalized Traub’s Method for Absolute Value Equations. J Optim Theory Appl 166, 619–625 (2015). https://doi.org/10.1007/s10957-015-0712-1

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  • DOI: https://doi.org/10.1007/s10957-015-0712-1

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