| 应用Householder变换的混合GMRES算法执行(英文) |
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| 引用本文： | 钟宝江.应用Householder变换的混合GMRES算法执行(英文)[J].南京航空航天大学学报(英文版),1997(2). |
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| 作者姓名： | 钟宝江 |
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| 作者单位： | 南京航空航天大学理学院 南京210016 |
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| 摘 要： | 为求解大型非对称线性方程组,混合GMRES算法的标准执行包含了一个Gram-Schmidt正交化过程,但此过程可能会导致严重的数值错误。本文给出了算法的另一种执行方法,应用Householder变换来进行正交化.数值例子表明,执行新的算法更稳定可靠。
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| 关 键 词： | 线性系统 迭代法 混合法 GMRES Householder变换 |
IMPLEMENTATION OF THE HYBRID GMRES ALGORITHM USING HOUSEHOLDER TRANSFORMATIONS |
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| Zhong Baojiang.IMPLEMENTATION OF THE HYBRID GMRES ALGORITHM USING HOUSEHOLDER TRANSFORMATIONS[J].Transactions of Nanjing University of Aeronautics & Astronautics,1997(2). |
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| Authors: | Zhong Baojiang |
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| Abstract: | The standard implementation of the hybrid GMRES algorithm for solving large nonsymmetric linear systems involves a Gram-Schmidt process which is a potential source of significant numerical error. An alternative implementation is outlined here in which orthogonalization by Householder transformations replaces the Gram-Schmidt process. Numerical experiments show that the new implementation is more stable. |
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| Keywords: | linear systems iteration methods hybrid methods GMRES Householder transformations |
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