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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 517, Pages 33–37
DOI: https://doi.org/10.31857/S2686954324030057 (Mi danma526) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

The Vandermonde matrix in the commutative case

A. I. Perov, I. D. Kostrub

Voronezh State University, Voronezh, Russian Federation
Full-text PDF Citations (1)
DOI: https://doi.org/10.31857/S2686954324030057
Abstract: In a complex Banach algebra, under the assumptions of separateness and spectral separateness, invertibility conditions for the Vandermonde matrix are formulated and proved. Necessary and sufficient conditions for the invertibility of the Vandermonde matrix are given. Analogues of Sylvester’s theorem are formulated.
Keywords: commutative Banach algebra, Vandermonde matrix, Sylvester's theorem, spectrum mapping theorem.
Presented: V. V. Kozlov
Received: 24.12.2023
Revised: 04.05.2024
Accepted: 12.05.2024
English version:
Doklady Mathematics, 2024, Volume 109, Issue 3, Pages 216–220
DOI: https://doi.org/10.1134/S1064562424702041
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: A. I. Perov, I. D. Kostrub, “The Vandermonde matrix in the commutative case”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024), 33–37; Dokl. Math., 109:3 (2024), 216–220
Citation in format AMSBIB
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\by A.~I.~Perov, I.~D.~Kostrub
\paper The Vandermonde matrix in the commutative case
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\vol 517
\pages 33--37
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\crossref{https://doi.org/10.31857/S2686954324030057}
\elib{https://elibrary.ru/item.asp?id=69204685}
\transl
\jour Dokl. Math.
\yr 2024
\vol 109
\issue 3
\pages 216--220
\crossref{https://doi.org/10.1134/S1064562424702041}
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