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A Two-Step Newton-Type Method for Solving System of Absolute Value Equations

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  • Lei Shi
  • Javed Iqbal
  • Muhammad Arif
  • Alamgir Khan

Abstract

In this paper, we suggest a Newton-type method for solving the system of absolute value equations. This new method is a two-step method with the generalized Newton method as predictor. Convergence of the proposed method is proved under some suitable conditions. At the end, we take several numerical examples to show that the new method is very effective.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlmpe:2798080
    DOI: 10.1155/2020/2798080
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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.
    2. 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.

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