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计算数学  1989 

CENERALIZED POLAR DECOMPOSITION
广义极分解

Keywords: 复阵,酉阵,次酉阵,广义极分解

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Abstract:

By a generalized polar decomposition of an m×n matrix A, it is meant that A can bedecomposed as A=QH, where Q is an m×n subunitary matrix, and H is a Hermite positivesemidefinite matrix. In this paper, the uniqueness theorem of generalized polar decomposi-tiion, the best approximation property of the subunitary factor, the perturbation bounds forthe generalized polar factors Q and H, and a quadratically convergent method are studied. So-me numerical examples are also given.

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