LINEAR-OPERATORS PRESERVING CERTAIN EQUIVALENCE-RELATIONS ON MATRICES

被引：19

作者：

HORN, RA

LI, CK

TSING, NK

机构：

[1] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23185

[2] UNIV MARYLAND,SYST RES CTR,COLLEGE PK,MD 20742

[3] UNIV MARYLAND,DEPT ELECT ENGN,COLLEGE PK,MD 20742

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1991年 / 12卷 / 02期

关键词：

LINEAR OPERATOR; EQUIVALENCE RELATION; CONSIMILARITY; CONGRUENCE;

D O I：

10.1137/0612015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a uniform approach, characterizations are obtained of linear operators on matrix spaces that preserve certain equivalence relations such as consimilarity, *-congruence, nonsingular equivalence, and unitary equivalence.

引用

页码：195 / 204

页数：10

共 50 条

[1] LINEAR-OPERATORS PRESERVING CERTAIN EQUIVALENCE-RELATIONS ORIGINATING IN SYSTEM-THEORY
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[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 161 : 165 - 225
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[3] LINEAR-OPERATORS PRESERVING THE NUMERICAL RADIUS OF MATRICES
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[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (04) : 601 - 608
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[5] LINEAR-OPERATORS ON MATRICES - PRESERVING SPECTRUM AND DISPLACEMENT STRUCTURE
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[8] LINEAR-OPERATORS STRONGLY PRESERVING IDEMPOTENT MATRICES OVER SEMIRINGS
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[10] ON A CERTAIN DECOMPOSITION OF LINEAR-OPERATORS
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[J]. REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 1982, 27 (01): : 12 - 14

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