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A note on the rational canonical form of an endomorphism of a vector space of finite dimensions

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A note on the rational canonical form of an endomorphism of a vector space of finite dimensions

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Ballester-Bolinches, A.; Esteban Romero, R.; Pérez-Calabuig, V. (2018). A note on the rational canonical form of an endomorphism of a vector space of finite dimensions. Operators and Matrices. 12(3):823-836. https://doi.org/10.7153/oam-2018-12-49

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/146002

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Title: A note on the rational canonical form of an endomorphism of a vector space of finite dimensions
Author: Ballester-Bolinches, A. Esteban Romero, Ramón Pérez-Calabuig, Vicente
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] In this note, we give an easy algorithm to construct the rational canonical form of a square matrix or an endomorphism h of a finite dimensional vector space which does not depend on either the structure theorem for ...[+]
Subjects: Similarity of matrices , Rational canonical form , Minimum polynomial , Endomorphism
Copyrigths: Cerrado
Source:
Operators and Matrices. (issn: 1846-3886 )
DOI: 10.7153/oam-2018-12-49
Publisher:
Element d.o.o.
Publisher version: http://doi.org/10.7153/oam-2018-12-49
Project ID:
info:eu-repo/grantAgreement/Natural Science Foundation of Guangdong Province//2015A030313791/
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F057/
info:eu-repo/grantAgreement/NSFC//11271085/
info:eu-repo/grantAgreement/MINECO//MTM2014-54707-C3-1-P/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS I/
Thanks:
This work has been supported by the grants MTM2014-54707-C3-1-P from the Ministerio de Economia y Competitividad, Spain, and FEDER, European Union, and PROMETEO/2017/057 from the Generalitat (Valencian Community, Spain). ...[+]
Type: Artículo

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