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

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Submitted: 2025-02-19; Published: 2025-02-19

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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.