On a New Type of Unitoid Matrices

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Resumo

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?

Sobre autores

Kh. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow Lomonosov State University

Autor responsável pela correspondência
Email: ikramov@cs.msu.su
Moscow, Russia

Bibliografia

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  3. Horn R.A., Johnson C.R. Matrix Analysis. 2nd ed. Cambridge: Cambridge Univer. Press, 2013.
  4. Horn R.A., Merino D.I. A real-coninvolutory analog of the polar decomposition // Linear Algebra Appl. 1993. V. 190. P. 209–227.
  5. Хорн Р., Джонсон Ч. Матричный анализ. М.: Мир, 1989.

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