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<p>This paper develops a new parameterized block (PB) preconditioner for solving the complex symmetric linear systems. We analyze the convergence behavior of the corresponding iteration scheme and derive the spectral properties of the preconditioned matrix. Numerical experiments are conducted to verify the effectiveness of the proposed method, demonstrating that the PB preconditioner significantly accelerates the convergence of the GMRES method when applied to complex symmetric linear systems.</p>

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A parameterized block preconditioner for solving a class of complex symmetric linear systems

  • 期刊论文

  • 发表日期：

    2026年6月30日

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  • Meng-Yao Li,
  • Bo Wu

摘要

This paper develops a new parameterized block (PB) preconditioner for solving the complex symmetric linear systems. We analyze the convergence behavior of the corresponding iteration scheme and derive the spectral properties of the preconditioned matrix. Numerical experiments are conducted to verify the effectiveness of the proposed method, demonstrating that the PB preconditioner significantly accelerates the convergence of the GMRES method when applied to complex symmetric linear systems.