EXPLICIT FACTORIZATION OF A $(P,Q)$-CIRCULANT MATRIX-FUNCTIONS

G.M. Topikyan

doi:10.46991/PYSU:A/2011.45.3.023

EXPLICIT FACTORIZATION OF A $(P,Q)$-CIRCULANT MATRIX-FUNCTIONS

Authors

G.M. Topikyan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2011.45.3.023

Keywords:

matrix-function, factorization, partial indices

Abstract

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

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Published

2011-10-17

How to Cite

Topikyan, G. (2011). EXPLICIT FACTORIZATION OF A $(P,Q)$-CIRCULANT MATRIX-FUNCTIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 45(3 (226), 23–30. https://doi.org/10.46991/PYSU:A/2011.45.3.023