2011; Physical and Mathematical Sciences, 45(3 (226): 23–30
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EXPLICIT FACTORIZATION OF A (P,Q) -CIRCULANT MATRIX-FUNCTIONS

Gevorg Topikyan*

Received: 2025-02-19 · Published: 2011-10-17

© 2011 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
EXPLICIT FACTORIZATION OF A (P,Q) -CIRCULANT MATRIX-FUNCTIONS
Author
Gevorg Topikyan
Published
2011-10-17
Licence
Creative Commons Attribution 4.0 International

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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