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Two Block Splitting Iteration Methods for Solving Complex Symmetric Linear Systems from Complex Helmholtz Equation

Author

Listed:
  • Yanan Zhu

    (College of Mathematics and Physics, Wenzhou University, Wenzhou 325035, China)

  • Naimin Zhang

    (College of Mathematics and Physics, Wenzhou University, Wenzhou 325035, China)

  • Zhen Chao

    (Department of Mathematics, Western Washington University, Bellingham, WA 98225, USA)

Abstract

In this paper, we study the improved block splitting (IBS) iteration method and its accelerated variant, the accelerated improved block splitting (AIBS) iteration method, for solving linear systems of equations stemming from the discretization of the complex Helmholtz equation. We conduct a comprehensive convergence analysis and derive optimal iteration parameters aimed at minimizing the spectral radius of the iteration matrix. Through numerical experiments, we validate the efficiency of both iteration methods.

Suggested Citation

  • Yanan Zhu & Naimin Zhang & Zhen Chao, 2024. "Two Block Splitting Iteration Methods for Solving Complex Symmetric Linear Systems from Complex Helmholtz Equation," Mathematics, MDPI, vol. 12(12), pages 1-22, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1888-:d:1417090
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