On a New Type of Unitoid Matrices

The cosquare of a nonsingular complex matrix is defined as in theory of -congruences and as in theory of Hermitian congruences. There is one more product of a similar kind, namely, . In this paper, we discuss the following question: Is it possible to interpret such a product as a cosquare within som...

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Published in:Computational mathematics and mathematical physics 2023-06, Vol.63 (6), p.929-933
Main Author: Ikramov, Kh. D.
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General Numerical Methods
Mathematics
Mathematics and Statistics
Matrices (mathematics)
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description The cosquare of a nonsingular complex matrix is defined as in theory of -congruences and as in theory of Hermitian congruences. There is one more product of a similar kind, namely, . 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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subjects Canonical forms
Computational Mathematics and Numerical Analysis
Congruences
General Numerical Methods
Mathematics
Mathematics and Statistics
Matrices (mathematics)
title On a New Type of Unitoid Matrices
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