| 乘法扰动下任意矩阵次酉极因子的扰动界 |
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| 引用本文： | 孔祥强.乘法扰动下任意矩阵次酉极因子的扰动界[J].延边大学理工学报,2012(3):196-199. |
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| 作者姓名： | 孔祥强 |
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| 作者单位： | 菏泽学院数学系,山东菏泽274000 |
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| 基金项目： | 山东省统计局重点课题项目（KT11048）; 山东省教育科学“十二五”规划重点课题项目（2011GG049） |
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| 摘 要： | 利用矩阵的奇异值分解和广义极分解,在乘法扰动下,研究了任意矩阵次酉极因子的扰动界,得到了全新的扰动上界定理,所得结论将文献3]中的列满秩矩阵推广到了非列满秩矩阵.
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| 关 键 词： | 次酉极因子 广义极分解 扰动界 |
Multiplicative perturbation bounds of the sub-unitary polar factor for arbitrary matrices |
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| KONG Xiang-qiang.Multiplicative perturbation bounds of the sub-unitary polar factor for arbitrary matrices[J].Journal of Yanbian University (Natural Science),2012(3):196-199. |
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| Authors: | KONG Xiang-qiang |
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| Affiliation: | KONG Xiang-qiang(Department of Mathematics,Heze University,Heze 274000,China) |
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| Abstract: | Using the singular value decomposition and generalized polar decomposition,the multiplicative perturbation bounds of the sub-unitary polar factor for arbitrary matrices are studied.Some new perturbation bounds are presented,the results extend the full column rank matrix of original conclusions to the non-full column rank matrix. |
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| Keywords: | sub-unitary polar factor generalized polar decomposition perturbation bound |
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