LINEAR PRESERVERS OF BALANCED SINGULAR INERTIA CLASSES

被引：3

作者：

LOEWY, R ^{[1
]}

PIERCE, S ^{[1
]}

机构：

[1] SAN DIEGO STATE UNIV,DEPT MATH,SAN DIEGO,CA 92182

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1994年 / 201卷

关键词：

D O I：

10.1016/0024-3795(94)90105-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S(n) denote the real symmetric n x n matrices and H(n) the real vector space of n x n hermitian matrices. For 1 less than or equal to r less than or equal to n/2, let G(r, r, n - 2r) be the inertia class of all matrices in S(n) (in H(n)) with exactly r positive, r negative, and n - 2r zero eigenvalues. If T is a linear transformation on S(n) (on H(n)) such that T maps G(r, r, n - 2r) into itself, we classify T provided that n greater than or equal to 5r.

引用

页码：61 / 77

页数：17

共 17 条

[1] ON MATRICES WHOSE REAL LINEAR COMBINATIONS ARE NONSINGULAR [J].