Explicit factorization of a $(P,Q)$-circulant matrix-functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2011), pp. 23-30

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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
Mots-clés : partial indices.
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G. M. Topikyan. Explicit factorization of a $(P,Q)$-circulant matrix-functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2011), pp. 23-30. http://geodesic.mathdoc.fr/item/UZERU_2011_3_a3/