On a New Type of Unitoid Matrices

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Abstract

The cosquare of a nonsingular complex matrix A is defined as A in theory of A-congruences and as A in theory of Hermitian congruences. There is one more product of a similar kind, namely, 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?

About the authors

Kh. D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow Lomonosov State University

Author for correspondence.
Email: ikramov@cs.msu.su
Moscow, Russia

References

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