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Solutions of the matrix linear bilateral polynomial equation and their structure

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dc.contributor.author Dzhaliuk, N.S.
dc.contributor.author Petrychkovych, V.M.
dc.date.accessioned 2023-03-01T15:40:21Z
dc.date.available 2023-03-01T15:40:21Z
dc.date.issued 2019
dc.identifier.citation Solutions of the matrix linear bilateral polynomial equation and their structure / N.S. Dzhaliuk, V.M. Petrychkovych // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 243–251. — Бібліогр.: 14 назв. — англ. uk_UA
dc.identifier.issn 1726-3255
dc.identifier.other 2010 MSC: 15A21, 15A24.
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/188435
dc.description.abstract We investigate the row and column structure of solutions of the matrix polynomial equation A(λ)X(λ) + Y (λ)B(λ) = C(λ), where A(λ),B(λ) and C(λ) are the matrices over the ring of polynomials F[λ] with coefficients in field F. We establish the bounds for degrees of the rows and columns which depend on degrees of the corresponding invariant factors of matrices A(λ) and B(λ). A criterion for uniqueness of such solutions is pointed out. A method for construction of such solutions is suggested. We also established the existence of solutions of this matrix polynomial equation whose degrees are less than degrees of the Smith normal forms of matrices A(λ) and B(λ). uk_UA
dc.description.sponsorship This work was supported by the budget program of Ukraine “Support for the development of priority research areas” (CPCEC 6541230). uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут прикладної математики і механіки НАН України uk_UA
dc.relation.ispartof Algebra and Discrete Mathematics
dc.title Solutions of the matrix linear bilateral polynomial equation and their structure uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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