Accuracy Improvement of the Block Product-type Iterative Methods for Linear Systems with Multiple Right-Hand Sides

DOI

Bibliographic Information

Other Title
  • 複数右辺ベクトルを持つ線形方程式に対するブロック積型反復解法の近似解高精度化

Description

<p>Abstract. The Block product-type iterative methods are efficient methods for solving linear systems with multiple right-hand sides. These methods can solve them simultaneously. However, when the number of right-hand sides is large, the accuracy of the approximate solution generated by these methods may deteriorate. One of the causes is a gap between the recursive residual matrix and the true residual matrix. In this paper, the Block GPBiCG method and the Block BiCGSTAB method are reconstructed for improving the accuracy of the approximate solutions. Moreover, we verify that the proposed methods are often better in accuracy through numerical experiments.</p>

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Details 詳細情報について

  • CRID
    1390568456339898880
  • NII Article ID
    130007961533
  • DOI
    10.11540/jsiamt.30.4_290
  • ISSN
    24240982
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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