A New Block Krylov Subspace Method for Computing High Accuracy Solutions
A New Block Krylov Subspace Method for Computing High Accuracy Solutions
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发表时间：
2008
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通讯作者：
Tadano Hiroto;Sakurai Tetsuya;Kuramashi Yoshinobu
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作者：
Tadano Hiroto;Sakurai Tetsuya;Kuramashi Yoshinobu
本文分析了矩阵乘法中出现的误差对块BiCGSTAB法近似解精度的影响。为了产生高精度的解，还提出了一种新的块Krylov子空间方法。数值实验表明，与BlockBiCGSTAB方法相比，该方法可以得到高精度的解.
In this paper, the influence of errors which arise in matrix multiplications on the accuracy of approximate solutions generated by the Block BiCGSTAB method is analyzed. In order to generate high accuracy solutions, a new Block Krylov subspace method is also proposed. Some numerical experiments illustrate that high accuracy solutions can be obtained by using the proposed method compared with the Block BiCGSTAB method.