B. Z. Shavarovskii, “Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 2007, Volume 47, Number 12,Pages <nobr>1988

This article is cited in 2 papers

Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients

B. Z. Shavarovskii

Pidstryhach Institute for Applied Problems of Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Nauchnaya 3-b, Lviv, 79601, Ukraine

Abstract: Two classes of matrix polynomial equations with commuting coefficients are examined. It is shown that the equations in one class have complete sets of solutions, whereas the equations in the other class are unsolvable. A method is given for finding the solution set of an equation in the former class.

Key words: matrix polynomial equation, complete set of solutions, polynomial matrix, matrix factorization.

UDC: 519.614

Received: 02.03.2007