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

Author(s)

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

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.

DOI: 10.46991/PYSUA.2011.45.3.023 Physical and Mathematical Sciences, 45(3 (226) 23-30

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Keywords

matrix-function, factorization, partial indices

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