The roots of a polynomial depend continuously on its coefficients

An elementary proof is given of the continuous dependence of the roots of a polynomial on its coefficients.

Autores:
Naulin, Raúl
Pabst, Carlos
Tipo de recurso:
Article of journal
Fecha de publicación:
1994
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43492
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43492
http://bdigital.unal.edu.co/33590/
Palabra clave:
Lexicographic order
metric space
normed space
symmetric functions
roots of a polynomial
Fundamental Theorem of Algebra
continuous dependence on coefficients
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43492
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network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Naulin, Raúl25df13a8-27e4-46d5-b20f-0cea2b9db174300Pabst, Carlosb3960963-7c55-4c76-8f61-eb68faa633703002019-06-28T12:02:55Z2019-06-28T12:02:55Z1994https://repositorio.unal.edu.co/handle/unal/43492http://bdigital.unal.edu.co/33590/An elementary proof is given of the continuous dependence of the roots of a polynomial on its coefficients.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33465Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 28, núm. 1 (1994); 35-37 0034-7426Naulin, Raúl and Pabst, Carlos (1994) The roots of a polynomial depend continuously on its coefficients. Revista Colombiana de Matemáticas; Vol. 28, núm. 1 (1994); 35-37 0034-7426 .The roots of a polynomial depend continuously on its coefficientsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTLexicographic ordermetric spacenormed spacesymmetric functionsroots of a polynomialFundamental Theorem of Algebracontinuous dependence on coefficientsORIGINAL33465-124138-1-PB.pdfapplication/pdf745053https://repositorio.unal.edu.co/bitstream/unal/43492/1/33465-124138-1-PB.pdf210b82b34c6595b7fdbefb7b4aa1b924MD51THUMBNAIL33465-124138-1-PB.pdf.jpg33465-124138-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6062https://repositorio.unal.edu.co/bitstream/unal/43492/2/33465-124138-1-PB.pdf.jpgf227c8ea87a8dc3730e44447bd65bf03MD52unal/43492oai:repositorio.unal.edu.co:unal/434922024-02-10 23:06:24.587Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv The roots of a polynomial depend continuously on its coefficients
title The roots of a polynomial depend continuously on its coefficients
spellingShingle The roots of a polynomial depend continuously on its coefficients
Lexicographic order
metric space
normed space
symmetric functions
roots of a polynomial
Fundamental Theorem of Algebra
continuous dependence on coefficients
title_short The roots of a polynomial depend continuously on its coefficients
title_full The roots of a polynomial depend continuously on its coefficients
title_fullStr The roots of a polynomial depend continuously on its coefficients
title_full_unstemmed The roots of a polynomial depend continuously on its coefficients
title_sort The roots of a polynomial depend continuously on its coefficients
dc.creator.fl_str_mv Naulin, Raúl
Pabst, Carlos
dc.contributor.author.spa.fl_str_mv Naulin, Raúl
Pabst, Carlos
dc.subject.proposal.spa.fl_str_mv Lexicographic order
metric space
normed space
symmetric functions
roots of a polynomial
Fundamental Theorem of Algebra
continuous dependence on coefficients
topic Lexicographic order
metric space
normed space
symmetric functions
roots of a polynomial
Fundamental Theorem of Algebra
continuous dependence on coefficients
description An elementary proof is given of the continuous dependence of the roots of a polynomial on its coefficients.
publishDate 1994
dc.date.issued.spa.fl_str_mv 1994
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:02:55Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:02:55Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43492
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33590/
url https://repositorio.unal.edu.co/handle/unal/43492
http://bdigital.unal.edu.co/33590/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33465
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 28, núm. 1 (1994); 35-37 0034-7426
dc.relation.references.spa.fl_str_mv Naulin, Raúl and Pabst, Carlos (1994) The roots of a polynomial depend continuously on its coefficients. Revista Colombiana de Matemáticas; Vol. 28, núm. 1 (1994); 35-37 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43492/1/33465-124138-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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