Matrix computations with the Omega calculus.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorFrancisco Neto, Antônio-
Data de aceite: dc.date.accessioned2025-08-21T15:18:43Z-
Data de disponibilização: dc.date.available2025-08-21T15:18:43Z-
Data de envio: dc.date.issued2023-07-03-
Data de envio: dc.date.issued2023-07-03-
Data de envio: dc.date.issued2020-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/jspui/handle/123456789/16849-
Fonte completa do material: dc.identifierhttps://www.tandfonline.com/doi/full/10.1080/03081087.2021.1903379-
Fonte completa do material: dc.identifierhttps://doi.org/10.1080/03081087.2021.1903379-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1010026-
Descrição: dc.descriptionIn this work, we explore an extension of the Omega calculus in the context of matrix analysis introduced recently by Neto [Matrix analysis and Omega calculus. SIAM Rev. 2020;62(1):264–280]. We obtain Omega representations of analytic functions of three important classes of matrices: companion, tridiagonal, and triangular. Our representation recovers the main results of Chen and Louck [The combinatorial power of the companion matrix. Linear Algebra Appl. 1996;232:261–278] on the powers of the companion matrix. Furthermore, we generalize previous work on the powers of tridiagonal matrices due to Gutiérrez–Gutiérrez in [Powers of tridiagonal matrices with constant diagonals. Appl Math Comput. 2008;206(2):885–891], Öteleş and Akbulak [Positive integer powers of certain complex tridiagonal matrices. Appl Math Comput. 2013;219(21):10448–10455], and triangular matrices following Shur [A simple closed form for triangular matrix powers. Electron J Linear Algebra. 2011;22:1000–1003].-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectFunctions of matrices-
Palavras-chave: dc.subjectCompanion matrix-
Palavras-chave: dc.subjectTridiagonal matrix-
Palavras-chave: dc.subjectTriangular matrix-
Título: dc.titleMatrix computations with the Omega calculus.-
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