Enhancement of Convergence Stability of BiCGStab(s,L) Method

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  • Onoue Yusuke
    Graduate School of Information Science and Electrical Engineering, Kyushu University
  • Fujino Seiji
    Research Institute for Information Technology, Kyushu University

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  • BiCGStab(s,L)法の収束安定性の向上
  • BiCGStab s L ホウ ノ シュウソク アンテイセイ ノ コウジョウ

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Abstract

Sonneveld and van Gijzen brought IDR(s) method renewed from IDR method in 2008. In addition, Bi_IDR(s) method which was proposed by them is more elegant and stable than IDR(s) method. Furthermore, in 2009, BiCGStab(s,L) method was proposed as one of the generalized version of IDR(s) method with polynomial of high degree L by Tanio and Sugihara. However, convergence stability of BiCGStab(s,L) method deteriorates when parameter s is large. Therefore, we propose an enhanced version of convergence stability of BiCGStab(s,L) method. Our numerical experiments illustrates the effectiveness of enhanced BiCGStab(s,L) method.

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