Abstract
The cosquare of a nonsingular complex matrix \(A\) is defined as \({{A}^{{ - \top }}}A\) in theory of \(T\)-congruences and as \({{A}^{ - }}\text{*}{\kern 1pt} A\) in theory of Hermitian congruences. There is one more product of a similar kind, namely, \({{\bar {A}}^{{ - 1}}}A\). In this paper, we discuss the following question: Is it possible to interpret such a product as a cosquare within some theory of congruences? What is this theory and how does look its canonical form?
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Ikramov, K.D. On a New Type of Unitoid Matrices. Comput. Math. and Math. Phys. 63, 929–933 (2023). https://doi.org/10.1134/S096554252306009X
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DOI: https://doi.org/10.1134/S096554252306009X