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dc.contributor.author
Beltran, Carlos
dc.contributor.author
Shub, Michael Ira
dc.date.available
2017-04-10T18:48:50Z
dc.date.issued
2010-05
dc.identifier.citation
Beltran, Carlos; Shub, Michael Ira; A note on the finite variance of the averaging function for polynomial system solving; Springer; Foundations Of Computational Mathematics; 10; 1; 5-2010; 115-125
dc.identifier.issn
1615-3375
dc.identifier.uri
http://hdl.handle.net/11336/15083
dc.description.abstract
In the forthcoming paper of Beltrán and Pardo, the average complexity of linear homotopy methods to solve polynomial equations with random initial input (in a sense to be described below) was proven to be finite, and even polynomial in the size of the input. In this paper, we prove that some other higher moments are also finite. In particular, we show that the variance is polynomial in the size of the input.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Polynomial Systems
dc.subject
Condition Metric
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A note on the finite variance of the averaging function for polynomial system solving
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-04-06T16:52:14Z
dc.journal.volume
10
dc.journal.number
1
dc.journal.pagination
115-125
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Beltran, Carlos. Universidad de Cantabria; España
dc.description.fil
Fil: Shub, Michael Ira. University Of Toronto; Canadá. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.journal.title
Foundations Of Computational Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10208-009-9054-4
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10208-009-9054-4
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