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<p>We present a stationary iteration method based upon a block splitting for a class of indefinite least squares problem. Convergence of the proposed method is investigated and optimal value of the involving parameter is computed. The induced preconditioner is applied to accelerate convergence of the GMRES method for solving the problem. We also analysed the eigenpair distribution of the preconditioned matrix. We assess the efficiency of the proposed preconditioner by presenting results from a numerical comparison with several existing preconditioners.</p>

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A parameterized block-splitting preconditioner for indefinite least squares problem

  • 期刊论文

  • 发表日期：

    2026年4月1日

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  • Davod Khojasteh Salkuyeh

摘要

We present a stationary iteration method based upon a block splitting for a class of indefinite least squares problem. Convergence of the proposed method is investigated and optimal value of the involving parameter is computed. The induced preconditioner is applied to accelerate convergence of the GMRES method for solving the problem. We also analysed the eigenpair distribution of the preconditioned matrix. We assess the efficiency of the proposed preconditioner by presenting results from a numerical comparison with several existing preconditioners.