Algebraic linearizations of matrix polynomials
Autores
Chan, Eunice Y.S.; Corless, Robert M.; González Vega, Laureano; Sendra Pons, Juan Rafael; Sendra Pons, JuanaIdentificadores
Enlace permanente (URI): http://hdl.handle.net/10017/49681DOI: 10.1016/j.laa.2018.10.028
ISSN: 0024-3795
Editor
Elsevier
Fecha de publicación
2019-02-15Patrocinadores
Ministerio de Economía y Competitividad
Cita bibliográfica
Chan, E.Y.S., Corless, R.M., González Vega, L., Sendra, J.R. & Sendra, J. 2019, “Algebraic linearizations of matrix polynomials”, Linear Algebra and its Applications, vol. 563, pp. 373-399.
Palabras clave
Companion matrices
Linearization
Matrix polynomials
Block upper Hessenberg
Descripción
Part of this work was developed while R.M.Corless was visiting the University of Alcalá, in the frame of the project Giner de los Rios. We acknowledge the support of the Ontario Graduate Institution, the National Science & Engineering Research Council of Canada, the University of Alcalá, the Rotman Institute of Philosophy, the Ontario Research Centre of Computer Algebra, and Western Univ.
Proyectos
info:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1016/j.laa.2018.10.028Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2018 Elsevier
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
We show how to construct linearizations of matrix polynomials za(z)d0+c0, a(z)b(z), a(z) +b(z)(when deg (b(z))<deg (a(z))), and za(z)d0b(z) +c0from linearizations of the component parts, a(z)and b(z). This allows the extension to matrix polynomials of a new companion matrix construction.
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