Geodesic
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

Voir la notice de l'article provenant de la source Math-Net.Ru

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). 
@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},
     publisher = {mathdoc},
     volume = {439},
     year = {2015},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a8/
%G ru
%F ZNSL_2015_439_a8
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/