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dc.contributor.author
Parente, Lisandro Armando
dc.contributor.author
Lotito, Pablo Andres
dc.contributor.author
Solodov, M. V.
dc.date.available
2022-11-25T01:37:27Z
dc.date.issued
2008-06
dc.identifier.citation
Parente, Lisandro Armando; Lotito, Pablo Andres; Solodov, M. V.; A Class of Inexact Variable Metric Proximal Point Algorithms; Society for Industrial and Applied Mathematics; Siam Journal On Optimization; 19; 1; 6-2008; 240-260
dc.identifier.issn
1052-6234
dc.identifier.uri
http://hdl.handle.net/11336/178906
dc.description.abstract
For the problem of solving maximal monotone inclusions, we present a rather general class of algorithms, which contains hybrid inexact proximal point methods as a special case and allows for the use of a variable metric in subproblems. The global convergence and local linear rate of convergence are established under standard assumptions. We demonstrate the advantage of variable metric implementation in the case of solving systems of smooth monotone equations by the proximal Newton method.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Society for Industrial and Applied Mathematics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
PROXIMAL POINT METHODS
dc.subject
VARIABLE METRIC
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MAXIMAL MONOTONE OPERATORS
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APPROXIMATION
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A Class of Inexact Variable Metric Proximal Point Algorithms
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-06-07T16:58:31Z
dc.journal.volume
19
dc.journal.number
1
dc.journal.pagination
240-260
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Filadelfia
dc.description.fil
Fil: Parente, Lisandro Armando. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Instituto de Matemática "Beppo Levi"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Lotito, Pablo Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina
dc.description.fil
Fil: Solodov, M. V.. Conselho Nacional de Desenvolvimento Científico e Tecnológico. Associacao Instituto Nacional de Matemática Pura e Aplicada; Brasil
dc.journal.title
Siam Journal On Optimization
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://epubs.siam.org/doi/10.1137/070688146
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1137/070688146
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