🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

How to Check Whether Given Square Matrices are Congruent


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2016 Springer Science+Business Media New York