Factorizations in the rings of the block matrices
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512.6+519.6 (2)
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SM ISO690:2012
PETRYCHKOVYCH, Vasil, DZHALIUK, Nataliia. Factorizations in the rings of the block matrices. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 3(85), pp. 23-33. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(85) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

Factorizations in the rings of the block matrices

CZU: 512.6+519.6
MSC 2010: 15A21, 15A24.

Pag. 23-33

Petrychkovych Vasil, Dzhaliuk Nataliia
 
Институт прикладной математики и механики Национальной академии наук Украины
 
 
Disponibil în IBN: 10 februarie 2018


Rezumat

The factorizations in the rings of the block triangular and the block diagonal matrices over an integral domain of finitely generated principal ideals are described. Conditions for existence and uniqueness up to the association of the factorizations in such rings are established. The construction of the factorizations of matrices is reduced to the factorizations of diagonal blocks of the block triangular matrices and the solving of the linear Sylvester matrix equations.

Cuvinte-cheie
ring of matrices, block matrix, matrix equation.,

factorization