| 乘法扰动下广义极分解的扰动恒等式 |
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| 引用本文： | 沈冬梅,沈晓红,吕效国.乘法扰动下广义极分解的扰动恒等式[J].高师理科学刊,2008,28(5). |
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| 作者姓名： | 沈冬梅 沈晓红 吕效国 |
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| 作者单位： | 1. 南通大学,理学院,江苏,南通226007
2. 南通大学,计算机科学与技术学院,江苏,南通226007 |
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| 基金项目： | 南通大学校科研和教改项目 |
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| 摘 要： | 设A是m×n(m≥n)且秩为r的复矩阵.存在m×n次酉矩阵Q和n×n半正定矩阵H使得A=QH,此分解称为A的广义极分解.运用奇异值分解,给出了乘法扰动下,矩阵的广义极分解在任意酉不变范数下的扰动恒等式.
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| 关 键 词： | 广义极分解 扰动等式 酉不变范数 |
Perturbation identities for the generalized polar decomposition under multiplicative perturbation |
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| SHEN Dong-mei,SHEN Xiao-hong,Lü Xiao-guo.Perturbation identities for the generalized polar decomposition under multiplicative perturbation[J].Journal of Science of Teachers＇College and University,2008,28(5). |
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| Authors: | SHEN Dong-mei SHEN Xiao-hong Lü Xiao-guo |
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| Abstract: | Let A be an m × n(m≥n)complex matrix,which rank isr.It is known that there is a generalized polar decomposition A = QH.By SVD decomposition derived the perturbation identities for the generalized polar decomposition with respect to the multiplicative perturbation under unitarily invariant norms. |
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| Keywords: | generalized polar decomposition perturbation unitarily invariant norms |
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