Solutions of the matrix linear bilateral polynomial equation and their structure

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 o...

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Bibliographic Details
Date:2019
Main Authors: Dzhaliuk, N.S., Petrychkovych, V.M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188435
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine