Dynamic Selection of L for Bi-CGSTAB(L)

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  • Bi-CGSTAB(L)法におけるLの動的選択について
  • 理論 Bi-CGSTAB(L)法におけるLの動的選択について
  • リロン Bi CGSTAB L ホウ ニ オケル L ノ ドウテキ センタク ニ ツイテ

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The Bi-CGSTAB(L) proposed by Sleijpen, et.al. is one of iterative solvers for large and sparse nonsymmetric linear systems, and is used extensively. However, it is hard to estimate a suitable value of the restart number L for good convergence behavior in realistic problems. In this paper, we propose a way to select dynamically L for getting more efficient convergence behavior in Bi-CGSTAB(L). Finally, we compare the Bi-CGSTAB(L) using the dynamic selection of L with the original Bi-CGSTAB(L) by several numerical experiments.

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