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dc.contributor.author
Cucker, Felipe  
dc.contributor.author
Krick, Teresa Elena Genoveva  
dc.contributor.author
Malajovich, Gregorio  
dc.contributor.author
Wschebor, Mario  
dc.date.available
2024-09-23T09:56:07Z  
dc.date.issued
2009-11  
dc.identifier.citation
Cucker, Felipe; Krick, Teresa Elena Genoveva; Malajovich, Gregorio; Wschebor, Mario; A numerical algorithm for zero counting. II: Distance to ill-posedness and smoothed analysis; Birkhauser Verlag Ag; Journal Of Fixed Point Theory And Applications; 6; 2; 11-2009; 285-294  
dc.identifier.issn
1661-7738  
dc.identifier.uri
http://hdl.handle.net/11336/244759  
dc.description.abstract
We show a Condition Number Theorem for the condition number of zero counting for real polynomial systems. That is, we show that this condition number equals the inverse of the normalized distance to the set of ill-posed systems (i.e., those having multiple real zeros). As a consequence, a smoothed analysis of this condition number follows.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Birkhauser Verlag Ag  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
POLYNOMIAL SYSTEMS  
dc.subject
ZERO COUNTING  
dc.subject
CONDITION NUMBERS  
dc.subject
SMOOTHED ANALYSIS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A numerical algorithm for zero counting. II: Distance to ill-posedness and smoothed analysis  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-09-03T13:29:01Z  
dc.journal.volume
6  
dc.journal.number
2  
dc.journal.pagination
285-294  
dc.journal.pais
Suiza  
dc.description.fil
Fil: Cucker, Felipe. University of Hong Kong; China  
dc.description.fil
Fil: Krick, Teresa Elena Genoveva. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Malajovich, Gregorio. Universidade Federal do Rio de Janeiro; Brasil  
dc.description.fil
Fil: Wschebor, Mario. Universidad de la República; Uruguay  
dc.journal.title
Journal Of Fixed Point Theory And Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s11784-009-0127-4  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11784-009-0127-4  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/0909.4101  

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