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<p>This work is concerned with the development of iterative methods for the solution of large multi-linear systems of equations that arise when discretizing partial differential equations as well as in other applications. Efficient iterative block methods of Jacobi, Gauss-Seidel, and SOR type that use a block partitioning of the coefficient tensor are proposed and their convergence properties are analyzed. Computed examples illustrate the usefulness of the proposed block methods.</p>

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Block iterative methods for solving multi-linear systems

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年4月29日

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  • Mehdi Najafi Kalyani,
  • Malihe Nobakht Kooshkghazi,
  • Lothar Reichel

摘要

This work is concerned with the development of iterative methods for the solution of large multi-linear systems of equations that arise when discretizing partial differential equations as well as in other applications. Efficient iterative block methods of Jacobi, Gauss-Seidel, and SOR type that use a block partitioning of the coefficient tensor are proposed and their convergence properties are analyzed. Computed examples illustrate the usefulness of the proposed block methods.