| 用零向量做初始值的增广系统的极小残量法 |
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| 引用本文： | 孙令亮.用零向量做初始值的增广系统的极小残量法[J].复旦学报(自然科学版),2001,40(6):619-624. |
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| 作者姓名： | 孙令亮 |
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| 作者单位： | 复旦大学数学研究所, |
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| 摘 要： | 考虑预条件极小残量法解对称不稳定性系统的实施和收敛性，证明了对正定和不定的预条件，极小残量法给出的Euclidan残量范数相等。
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| 关 键 词： | 不定系统 预条件 极小残量法 共轭梯度 零向量 增广性系统 迭代法 |
| 文章编号： | 0427-7104(2001)06-0619-06 |
Minimul Residual Methods for Augmented Systems with Zero Vector as Initial Gue ss |
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| SUN Ling-liang.Minimul Residual Methods for Augmented Systems with Zero Vector as Initial Gue ss[J].Journal of Fudan University(Natural Science),2001,40(6):619-624. |
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| Authors: | SUN Ling-liang |
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| Abstract: | Preconditioned minimum residual method is discussed to solve augmented (or KKT) systems. It is proved that the preconditioned minimum residual norm of positive definite preconditioner is the same as that of indefinite preconditioner. |
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| Keywords: | indefinite systems preconditioners minimum residual methods conjugate gradients |
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