LINEAR-MAPS WHICH PRESERVE A BALANCED NONSINGULAR INERTIA CLASS

被引：4

作者：

LOEWY, R ^{[1
]}

机构：

[1] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23187

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1990年 / 134卷

关键词：

D O I：

10.1016/0024-3795(90)90015-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let n be an even integer such that n ≥ 4. Let T be an invertible linear map on the space of n × n real symmetric matrices which maps the set of matrices having inertia( n 2, n 2, 0) into itself. Then there exist a nonsingular matrix S and ε{lunate} = ± 1 such that T(A) = ε{lunate}StAS. This is an analogue of a result obtained for Hermitian matrices by Pierce and Rodman. © 1990.

引用

页码：165 / 179

页数：15

共 7 条

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[2]

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