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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 12, Pages 1988–1997 (Mi zvmmf206)  
This article is cited in 2 scientific papers (total in 2 papers)

Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients

B. Z. Shavarovskii

Pidstryhach Institute for Applied Problems of Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Nauchnaya 3-b, Lviv, 79601, Ukraine
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Abstract: Two classes of matrix polynomial equations with commuting coefficients are examined. It is shown that the equations in one class have complete sets of solutions, whereas the equations in the other class are unsolvable. A method is given for finding the solution set of an equation in the former class.
Key words: matrix polynomial equation, complete set of solutions, polynomial matrix, matrix factorization.
Received: 02.03.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 12, Pages 1902–1911
DOI: https://doi.org/10.1134/S0965542507120032
Bibliographic databases:
Document Type: Article
UDC: 519.614
Language: Russian
Citation: B. Z. Shavarovskii, “Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 47:12 (2007), 1988–1997; Comput. Math. Math. Phys., 47:12 (2007), 1902–1911
Citation in format AMSBIB
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\by B.~Z.~Shavarovskii
\paper Finding a~complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 12
\pages 1988--1997
\mathnet{http://mi.mathnet.ru/zvmmf206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2394959}
\elib{https://elibrary.ru/item.asp?id=9572804}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 12
\pages 1902--1911
\crossref{https://doi.org/10.1134/S0965542507120032}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-37649020262}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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