VARIATION OF THE UNITARY PART OF A MATRIX

被引：12

作者：

BHATIA, R ^{[1
]}

MUKHERJEA, K ^{[1
]}

机构：

[1] INDIAN STAT INST,CALCUTTA 700035,W BENGAL,INDIA

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1994年 / 15卷 / 03期

关键词：

POLAR DECOMPOSITION; QR DECOMPOSITION; CHOLESKY FACTORIZATION; PERTURBATION; MANIFOLD; TANGENT SPACE; UNITARILY INVARIANT NORM; SINGULAR VALUE; FRECHET DERIVATIVE;

D O I：

10.1137/S0895479892243237

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The derivative of the map that takes an invertible matrix A to the unitary factor U in the polar decomposition A = UP is evaluated. The same is done for the map that takes A to the unitary factor Q in the QR decomposition A = QR. These results lead to perturbation bounds for these maps. Other applications of the method developed are discussed.

引用

页码：1007 / 1014

页数：8

共 14 条

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BHATIA, R ;

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[4]

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[5]

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[7]

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[8]

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[9]

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[10]

HORN R. A., 1991, TOPICS MATRIX ANAL

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