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<p>The generalized product-type method based on the biconjugate gradient (hereafter referred to as the GPBiCG method) has been recognized as an efficient Krylov subspace method for solving nonsymmetric linear systems. In this paper, tensor form of the GPBiCG method and its preconditioned variant are presented for solving the Stein tensor equations. The effectiveness of the proposed methods is verified by numerical experiments.</p>

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Tensor form of the GPBiCG method for solving the Stein tensor equation

  • 期刊论文

  • 发表日期：

    2026年4月15日

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  • Shu-Xin Miao,
  • Ren-Jie Zhao,
  • Tomohiro Sogabe,
  • Shao-Liang Zhang

摘要

The generalized product-type method based on the biconjugate gradient (hereafter referred to as the GPBiCG method) has been recognized as an efficient Krylov subspace method for solving nonsymmetric linear systems. In this paper, tensor form of the GPBiCG method and its preconditioned variant are presented for solving the Stein tensor equations. The effectiveness of the proposed methods is verified by numerical experiments.