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dc.contributor.authorDostál, Zdeněk
dc.contributor.authorFriedlander, Ana
dc.contributor.authorSantos, Sandra A.
dc.date.accessioned2007-06-26T07:03:18Z
dc.date.available2007-06-26T07:03:18Z
dc.date.issued2003
dc.identifier.citationSIAM Journal on Optimization. 2003, vol. 13, issue 4, p. 1120-1140.en
dc.identifier.issn1052-6234
dc.identifier.issn1095-7189
dc.identifier.urihttp://hdl.handle.net/10084/60700
dc.language.isoenen
dc.publisherSociety for Industrial and Applied Mathematicsen
dc.relation.ispartofseriesSIAM Journal on Optimizationen
dc.relation.urihttps://doi.org/10.1137/S1052623499362573en
dc.subjectquadratic programmingen
dc.subjectbox and equality constraintsen
dc.subjectaugmented Lagrangiansen
dc.subjectadaptive precision controlen
dc.titleAugmented Lagrangians with adaptive precision control for quadratic programming with simple bounds and equality constraintsen
dc.typearticleen
dc.identifier.locationNení ve fondu ÚKen
dc.description.abstract-enIn this paper we discuss a specialization of the augmented Lagrangian-type algorithm of Conn, Gould, and Toint to the solution of strictly convex quadratic programming problems with simple bounds and equality constraints. The new feature of the presented algorithm is the adaptive precision control of the solution of auxiliary problems in the inner loop of the basic algorithm which yields a rate of convergence that does not have any term that accounts for inexact solution of auxiliary problems. Moreover, boundedness of the penalty parameter is achieved for the precision control used. Numerical experiments illustrate the efficiency of the presented algorithm and encourage its usage.en
dc.identifier.doi10.1137/S1052623499362573
dc.identifier.wos000183166900010


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