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Gauss Quadrature Method for System of Absolute Value Equations

Author

Listed:
  • Lei Shi

    (School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China)

  • Javed Iqbal

    (Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan)

  • Faiqa Riaz

    (Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan)

  • Muhammad Arif

    (Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan)

Abstract

In this paper, an iterative method was considered for solving the absolute value equation (AVE). We suggest a two-step method in which the well-known Gauss quadrature rule is the corrector step and the generalized Newton method is taken as the predictor step. The convergence of the proposed method is established under some acceptable conditions. Numerical examples prove the consistency and capability of this new method.

Suggested Citation

  • Lei Shi & Javed Iqbal & Faiqa Riaz & Muhammad Arif, 2023. "Gauss Quadrature Method for System of Absolute Value Equations," Mathematics, MDPI, vol. 11(9), pages 1-8, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2069-:d:1134095
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    References listed on IDEAS

    as
    1. Lei Shi & Javed Iqbal & Muhammad Arif & Alamgir Khan, 2020. "A Two-Step Newton-Type Method for Solving System of Absolute Value Equations," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-7, December.
    2. Yuan Liang & Chaoqian Li, 2023. "Modified Picard-like Method for Solving Absolute Value Equations," Mathematics, MDPI, vol. 11(4), pages 1-18, February.
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    Cited by:

    1. 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.

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    1. 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.

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