Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 99-106
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Kh. D. Ikramov. How to check whether given square matrices are congruent?. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 99-106. http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a8/
@article{ZNSL_2015_439_a8,
author = {Kh. D. Ikramov},
title = {How to check whether given square matrices are congruent?},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {99--106},
year = {2015},
volume = {439},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a8/}
}
TY - JOUR
AU - Kh. D. Ikramov
TI - How to check whether given square matrices are congruent?
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2015
SP - 99
EP - 106
VL - 439
UR - http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a8/
LA - ru
ID - ZNSL_2015_439_a8
ER -
%0 Journal Article
%A Kh. D. Ikramov
%T How to check whether given square matrices are congruent?
%J Zapiski Nauchnykh Seminarov POMI
%D 2015
%P 99-106
%V 439
%U http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a8/
%G ru
%F ZNSL_2015_439_a8
Let $A$ and $B$ be square nonsingular $n$-by-$n$ matrices with entries being rational or rational Gaussian numbers. We describe a method for verifying whether these matrices are congruent. The method uses a finite number of arithmetic operations (and, in the complex case, conjugation operations).
