Performance Evaluation of GPBiCGSafe Method without Reverse-Ordered Recurrence for Realistic Problems

نویسندگان

  • Seiji Fujino
  • Takashi Sekimoto
چکیده

GPBiCG method is an attractive iterative method for the solution of a linear system of equations with nonsymmetric coefficient matrix. However, we meet often with instability of convergence when GPBiCG method is adopted in the solution of realistic problems. In this paper, we consider a new algorithm with minimization of the associate residual and without reverse-ordered recurrence in the algorithm. We refer to a new iterative method as GPBiCG with safety convergence (abbreviated as GPBiCGSafe) method. Moreover we will support that GPBiCGSafe method yields safety convergence through numerical experiments.

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تاریخ انتشار 2012