Title of article
On the congruence of square real matrices Original Research Article
Author/Authors
Dragomir image. Dokoviimage، نويسنده , , Khakim D. Ikramov، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
10
From page
149
To page
158
Abstract
We show that if A and B are real n by n matrices which are *-congruent (i.e., P*AP=B for some invertible complex matrix P), then A and B are congruent over the real numbers (i.e., QTAQ=B for some invertible real matrix Q). This statement remains true if P is assumed to be an invertible quaternionic matrix.
Keywords
Congruence and ?-congruence of matrices , Bilinear forms , Kroneckermodules , Sesquilinear forms
Journal title
Linear Algebra and its Applications
Serial Year
2002
Journal title
Linear Algebra and its Applications
Record number
823637
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