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SHEN Dong-mei, WEI Mu-sheng. Perturbation Identities for the Generalized Polar Decomposition[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 47-50.
Citation:
SHEN Dong-mei, WEI Mu-sheng. Perturbation Identities for the Generalized Polar Decomposition[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 47-50.
SHEN Dong-mei, WEI Mu-sheng. Perturbation Identities for the Generalized Polar Decomposition[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 47-50.
Citation:
SHEN Dong-mei, WEI Mu-sheng. Perturbation Identities for the Generalized Polar Decomposition[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 47-50.
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.