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Residual Iterative Method for Solving Absolute Value Equations

Author

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  • Muhammad Aslam Noor
  • Javed Iqbal
  • Eisa Al-Said

Abstract

We suggest and analyze a residual iterative method for solving absolute value equations ð ´ ð ‘¥ − | ð ‘¥ | = ð ‘ where ð ´ âˆˆ ð ‘… ð ‘› × ð ‘› , ð ‘ âˆˆ ð ‘… ð ‘› are given and ð ‘¥ ∈ ð ‘… ð ‘› is unknown, using the projection technique. We also discuss the convergence of the proposed method. Several examples are given to illustrate the implementation and efficiency of the method. Comparison with other methods is also given. Results proved in this paper may stimulate further research in this fascinating field.

Suggested Citation

  • Muhammad Aslam Noor & Javed Iqbal & Eisa Al-Said, 2012. "Residual Iterative Method for Solving Absolute Value Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, March.
    • Handle: RePEc:hin:jnlaaa:406232
    DOI: 10.1155/2012/406232
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    Cited by:

    1. Yuan Liang & Chaoqian Li, 2023. "Modified Picard-like Method for Solving Absolute Value Equations," Mathematics, MDPI, vol. 11(4), pages 1-18, February.
    2. Peng Guo & Javed Iqbal & Syed Muhammad Ghufran & Muhammad Arif & Reem K. Alhefthi & Lei Shi, 2023. "A New Efficient Method for Absolute Value Equations," Mathematics, MDPI, vol. 11(15), pages 1-9, July.
    3. Yuan Li & Hai-Shan Han & Dan-Dan Yang, 2014. "A Penalized-Equation-Based Generalized Newton Method for Solving Absolute-Value Linear Complementarity Problems," Journal of Mathematics, Hindawi, vol. 2014, pages 1-10, September.

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