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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 439, 2015, pp. 99–106.
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Ikramov, K.D. How to Check Whether Given Square Matrices are Congruent. J Math Sci 216, 787–791 (2016). https://doi.org/10.1007/s10958-016-2943-6
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DOI: https://doi.org/10.1007/s10958-016-2943-6