On a New Type of Unitoid Matrices

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详细

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?

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Kh. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow Lomonosov State University

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Email: ikramov@cs.msu.su
Moscow, Russia

参考

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  2. Икрамов Х.Д. О конгруэнтном выделении жордановых блоков из вырожденной квадратной матрицы // Сиб. журнал вычисл. матем. 2018. Т. 21. С. 255–258.
  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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