A Modified Generalized Newton Method for Absolute Value Equations
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In this paper, a modified generalized Newton method is presented to solve absolute value equations, when all the singular values of the system matrix exceed 1. The convergence properties of the proposed method are given.
KeywordsAbsolute value equation Generalized Newton method Convergence
Mathematics Subject Classification65F10 90C05 90C30
The author would like to thank the anonymous referee for providing helpful suggestions, which greatly improved the paper. The author would like to thank Prof. Shi-Liang Wu for helpful discussion. This research was supported by NSFC (No. 11301009), Natural Science Foundations of Henan Province (No. 15A110007) and Project of Young Core Instructor of Universities in Henan Province (No. 2015GGJS-003).
- 13.Noor, M.A., Iqbal, J., Al-Said, E.: Residual iterative method for solving absolute value equations. Abstr. Appl. Anal. 2012 Article ID 406232, 9 (2012)Google Scholar