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.
LetA be an m × n (m ≥ n) complex matrix, which rank is r. 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 muhiplicative perturbation under unitarily invariant norms.
出处
《高师理科学刊》
2008年第5期13-16,共4页
Journal of Science of Teachers'College and University
基金
南通大学自然科学基金项目(06Z052)
关键词
广义极分解
扰动等式
酉不变范数
generalized polar decomposition
perturbation
unitarily invariant norms