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.
Mots-clés : partial indices.
@article{UZERU_2011_3_a3,
author = {G. M. Topikyan},
title = {Explicit factorization of a $(P,Q)$-circulant matrix-functions},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {23--30},
publisher = {mathdoc},
number = {3},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2011_3_a3/}
}
TY - JOUR AU - G. M. Topikyan TI - Explicit factorization of a $(P,Q)$-circulant matrix-functions JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2011 SP - 23 EP - 30 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2011_3_a3/ LA - en ID - UZERU_2011_3_a3 ER -
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/