This article is cited in 1 paper

Solvability of matrix equations in rings of quasi-diagonal matrices and similarity of matrix polynomials

B. Z. Shavarovskii

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Nauchnaya 3b, Lvov, 79601, Ukraine

Abstract: A certain standard form is found for a complex matrix with respect to equivalent transformations by quasi-diagonal matrices. The solvability of certain matrix equations in the rings of quasi-diagonal matrices is examined using this standard form.

Key words: matrix equation, quasi-diagonal solution to matrix equations, reduction of a matrix to its standard form, similarity of matrix polynomials.

UDC: 519.612

Received: 23.08.2005
Revised: 26.02.2006

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:8, 1283–1292

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