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Constructing a Class of Frozen Jacobian Multi-Step Iterative Solvers for Systems of Nonlinear Equations

Author

Listed:
  • R. H. Al-Obaidi

    (Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149, Iran)

  • M. T. Darvishi

    (Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149, Iran)

Abstract

In this paper, in order to solve systems of nonlinear equations, a new class of frozen Jacobian multi-step iterative methods is presented. Our proposed algorithms are characterized by a highly convergent order and an excellent efficiency index. The theoretical analysis is presented in detail. Finally, numerical experiments are presented for showing the performance of the proposed methods, when compared with known algorithms taken from the literature.

Suggested Citation

  • R. H. Al-Obaidi & M. T. Darvishi, 2022. "Constructing a Class of Frozen Jacobian Multi-Step Iterative Solvers for Systems of Nonlinear Equations," Mathematics, MDPI, vol. 10(16), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2952-:d:889328
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    References listed on IDEAS

    as
    1. Ullah, Malik Zaka & Serra-Capizzano, Stefano & Ahmad, Fayyaz, 2015. "An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 249-259.
    2. Alicia Cordero & Cristina Jordán & Esther Sanabria & Juan R. Torregrosa, 2019. "A New Class of Iterative Processes for Solving Nonlinear Systems by Using One Divided Differences Operator," Mathematics, MDPI, vol. 7(9), pages 1-12, August.
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