How to Check Whether Given Square Matrices are Congruent


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Abstract

Let A and B be square nonsingular n-by-n matrices with entries being rational or rational Gaussian numbers. The paper describes a method for verifying whether these matrices are congruent. The method uses a finite number of arithmetic (and, in the complex case, also conjugation) operations.

About the authors

Kh. D. Ikramov

Moscow State University

Author for correspondence.
Email: ikramov@cs.msu.su
Russian Federation, Moscow


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