MORE MATRIX-FORMS OF THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY

被引：160

作者：

BHATIA, R ^{[1
]}

DAVIS, C ^{[1
]}

机构：

[1] UNIV TORONTO,DEPT MATH,TORONTO M5S 1A1,ONTARIO,CANADA

来源：

关键词：

GEOMETRIC MEAN; SINGULAR VALUES; UNITARILY INVARIANT NORM;

D O I：

10.1137/0614012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For arbitrary n x n matrices A, B, X, and for every unitarily invariant norm, it is proved that 2\\\A*XB\\\ less-than-or-equal-to \\\AA*X + XBB*\\\.

引用

页码：132 / 136

页数：5

共 7 条

ANDO, T .

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BHATIA, R ;

KITTANEH, F .

[3]

Bhatia R., 1987, PERTURBATION BOUNDS

[4] EXTREMAL PROBLEM FOR EXTENSIONS OF A SESQUILINEAR FORM [J].

DAVIS, C .

DAVIS, C ;

KAHAN, WM ;

WEINBERGER, HF .

[6]

MCINTOSH A, 1979, 790006 MACQ MATH REP

[7] INEQUALITY WITH APPLICATIONS IN STATISTICAL MECHANICS [J].

THOMPSON, CJ .