Perturbation Identities for the Generalized Polar Decomposition
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摘要: 研究mn(m≧n),且秩为r的复矩阵A的广义极分解A=QH,其中Q为mn次酉矩阵,H,为n n,半正定矩阵; 利用奇异值分解的方法,给出了在任意酉不变范数下Q,和H的扰动等式.Abstract: This paper studied the generalized polar decomposition of an mn(m≧n)complex matrix A ith rank r as A=QH, where Q is a subunitary matrix and H a positive semidefinite matrix. By the method of singular value decomposition, the perturbation identities of Q and H under the unitarily invariant norms were obtained.
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