This article is cited in 1 paper

Mathematics

Explicit factorization of a $(P,Q)$-circulant matrix-functions

G. M. Topikyan

Chair of Differential Equations and Functional Analysis YSU, Armenia

Abstract: The paper considers a factorization problem of a matrix-function, obtained from a circulant by a right and left multiplication by diagonal rational matrix-functions. Formulas for partial indices are obtained by means of ranks of a finite number of explicit type matrices. A factorization construction of this matrix-function based on factorization of finite number of functions is given as well.

Keywords: matrix-function, factorization, partial indices.

Received: 24.01.2011
Accepted: 25.02.2011

Language: English