Linear solving for sign determination

Autores
Perrucci, Daniel Roberto
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give a specific method to solve with quadratic complexity the linear systems arising in known algorithms to deal with the sign determination problem, both in the univariate and multivariate setting. In particular, this enables us to improve the complexity bound for sign determination in the univariate case to O(sd2log3d), where s is the number of polynomials involved and d is a bound for their degree. Previously known complexity results involve a factor of d2.376.
Fil: Perrucci, Daniel Roberto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria; Argentina
Materia
Complexity
Linear Solving
Sign Determination
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/68462
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/68462
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Linear solving for sign determinationPerrucci, Daniel RobertoComplexityLinear SolvingSign Determinationhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We give a specific method to solve with quadratic complexity the linear systems arising in known algorithms to deal with the sign determination problem, both in the univariate and multivariate setting. In particular, this enables us to improve the complexity bound for sign determination in the univariate case to O(sd2log3d), where s is the number of polynomials involved and d is a bound for their degree. Previously known complexity results involve a factor of d2.376.Fil: Perrucci, Daniel Roberto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria; ArgentinaElsevier Science2011-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/68462Perrucci, Daniel Roberto; Linear solving for sign determination; Elsevier Science; Theoretical Computer Science; 412; 35; 8-2011; 4715-47200304-3975CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0304397511003884info:eu-repo/semantics/altIdentifier/doi/10.1016/j.tcs.2011.05.006info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0911.5707info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:33:19Zoai:ri.conicet.gov.ar:11336/68462instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:33:19.591CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Linear solving for sign determination
title Linear solving for sign determination
spellingShingle Linear solving for sign determination
Perrucci, Daniel Roberto
Complexity
Linear Solving
Sign Determination
title_short Linear solving for sign determination
title_full Linear solving for sign determination
title_fullStr Linear solving for sign determination
title_full_unstemmed Linear solving for sign determination
title_sort Linear solving for sign determination
dc.creator.none.fl_str_mv Perrucci, Daniel Roberto
author Perrucci, Daniel Roberto
author_facet Perrucci, Daniel Roberto
author_role author
dc.subject.none.fl_str_mv Complexity
Linear Solving
Sign Determination
topic Complexity
Linear Solving
Sign Determination
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We give a specific method to solve with quadratic complexity the linear systems arising in known algorithms to deal with the sign determination problem, both in the univariate and multivariate setting. In particular, this enables us to improve the complexity bound for sign determination in the univariate case to O(sd2log3d), where s is the number of polynomials involved and d is a bound for their degree. Previously known complexity results involve a factor of d2.376.
Fil: Perrucci, Daniel Roberto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria; Argentina
description We give a specific method to solve with quadratic complexity the linear systems arising in known algorithms to deal with the sign determination problem, both in the univariate and multivariate setting. In particular, this enables us to improve the complexity bound for sign determination in the univariate case to O(sd2log3d), where s is the number of polynomials involved and d is a bound for their degree. Previously known complexity results involve a factor of d2.376.
publishDate 2011
dc.date.none.fl_str_mv 2011-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/68462
Perrucci, Daniel Roberto; Linear solving for sign determination; Elsevier Science; Theoretical Computer Science; 412; 35; 8-2011; 4715-4720
0304-3975
CONICET Digital
CONICET
url http://hdl.handle.net/11336/68462
identifier_str_mv Perrucci, Daniel Roberto; Linear solving for sign determination; Elsevier Science; Theoretical Computer Science; 412; 35; 8-2011; 4715-4720
0304-3975
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0304397511003884
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.tcs.2011.05.006
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0911.5707
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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