Showing papers by "Vlastimil Pták published in 1984"

TL;DR: In this article, the authors consider Lyapunov-type equations of the form X − SXC => W and X − CXS = W and derive some properties of these equations which make it possible to characterize Bezoutian matrices as solutions of the first equation with suitable right-hand sides W and to write down explicit expressions for these solutions.

TL;DR: The following commutator identity is proved in this paper, where the reciprocal polynomial f;1 is defined by f 1 (z) = z n f( 1 z ).

TL;DR: In this paper, the authors established a close relation between the Bezoutian of two polynomials (of the same degree) and the projection operator onto one of the corresponding spaces along the complement of the other.