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计算数学  1991 

ON THE APPROXIMATE POLAR FACTORS
关于近似极因子

Keywords: 矩阵,近似极因子,极分解,近似分析

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Abstract:

To compute the polar decomposition A=QH, usually an approximate unitaryfactor X of A is first computed, and then the matrix K-1/2(X~HA+A~HX) is takenas an approximate Hermitian factor of A. This paper introduces the residual R=A-XK, and gives an approximate analysis of the approximate polar factors K andX.

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