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Numerical Analysis and Applications

2022 year, number 1

On matrices whose cosquares are diagonalizable and have real spectra

Kh.D. Ikramov
Lomonosov Moscow State University, Moscow,Russia
Keywords: congruence, cosquare, rational algorithm, diagonalizability via similarity transformation

Abstract

It is shown that the algorithm for verifying congruence of square roots of Hermitian matrices proposed earlier by the author can be extended to the considerably more broad class of matrices whose cosquares are diagonalizable and have real spectra.