Solutions of the matrix linear bilateral polynomial equation and their structure

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2019
• Hauptverfasser: Dzhaliuk, N.S., Petrychkovych, V.M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2019
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188435
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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...