Path-following proximal approach for solving Ill-posed convex semi-infinite programming problems
Identifieur interne : 002762 ( Main/Exploration ); précédent : 002761; suivant : 002763Path-following proximal approach for solving Ill-posed convex semi-infinite programming problems
Auteurs : A. Kaplan [Allemagne] ; R. Tichatschke [Allemagne]Source :
- Journal of Optimization Theory and Applications [ 0022-3239 ] ; 1996-07-01.
Abstract
Abstract: For a class of ill-posed, convex semi-infinite programming problems, a regularized path-following strategy is developed. This approach consists in a coordinated application of adaptive discretization and prox-regularization procedures combined with a penalty method. At each iteration, only an approximate minimum of a strongly convex differentiable function has to be calculated, and this can be done by any fast-convergent algorithm. The use of prox-regularization ensures the convergence of the iterates to some solution of the original problem. Due to regularization, an efficient deleting rule is applicable, which excludes an essential part of the constraints in the discretized problems.
Url:
DOI: 10.1007/BF02192249
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001193
- to stream Istex, to step Curation: 001081
- to stream Istex, to step Checkpoint: 001036
- to stream Main, to step Merge: 002C36
- to stream Main, to step Curation: 002762
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Path-following proximal approach for solving Ill-posed convex semi-infinite programming problems</title>
<author><name sortKey="Kaplan, A" sort="Kaplan, A" uniqKey="Kaplan A" first="A." last="Kaplan">A. Kaplan</name>
</author>
<author><name sortKey="Tichatschke, R" sort="Tichatschke, R" uniqKey="Tichatschke R" first="R." last="Tichatschke">R. Tichatschke</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:FDBD23B97D8F08A8E8907E4DF25D8E0D58B51C3B</idno>
<date when="1996" year="1996">1996</date>
<idno type="doi">10.1007/BF02192249</idno>
<idno type="url">https://api.istex.fr/document/FDBD23B97D8F08A8E8907E4DF25D8E0D58B51C3B/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">001193</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001193</idno>
<idno type="wicri:Area/Istex/Curation">001081</idno>
<idno type="wicri:Area/Istex/Checkpoint">001036</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001036</idno>
<idno type="wicri:doubleKey">0022-3239:1996:Kaplan A:path:following:proximal</idno>
<idno type="wicri:Area/Main/Merge">002C36</idno>
<idno type="wicri:Area/Main/Curation">002762</idno>
<idno type="wicri:Area/Main/Exploration">002762</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Path-following proximal approach for solving Ill-posed convex semi-infinite programming problems</title>
<author><name sortKey="Kaplan, A" sort="Kaplan, A" uniqKey="Kaplan A" first="A." last="Kaplan">A. Kaplan</name>
<affiliation wicri:level="3"><country xml:lang="fr">Allemagne</country>
<wicri:regionArea>Institute of Applied Mathematics, Humboldt University at Berlin, Berlin</wicri:regionArea>
<placeName><region type="land" nuts="3">Berlin</region>
<settlement type="city">Berlin</settlement>
</placeName>
</affiliation>
</author>
<author><name sortKey="Tichatschke, R" sort="Tichatschke, R" uniqKey="Tichatschke R" first="R." last="Tichatschke">R. Tichatschke</name>
<affiliation wicri:level="1"><country xml:lang="fr">Allemagne</country>
<wicri:regionArea>Department of Mathematics, University Trier, Trier</wicri:regionArea>
<wicri:noRegion>Trier</wicri:noRegion>
<wicri:noRegion>Trier</wicri:noRegion>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Journal of Optimization Theory and Applications</title>
<title level="j" type="abbrev">J Optim Theory Appl</title>
<idno type="ISSN">0022-3239</idno>
<idno type="eISSN">1573-2878</idno>
<imprint><publisher>Kluwer Academic Publishers-Plenum Publishers</publisher>
<pubPlace>New York</pubPlace>
<date type="published" when="1996-07-01">1996-07-01</date>
<biblScope unit="volume">90</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="113">113</biblScope>
<biblScope unit="page" to="137">137</biblScope>
</imprint>
<idno type="ISSN">0022-3239</idno>
</series>
<idno type="istex">FDBD23B97D8F08A8E8907E4DF25D8E0D58B51C3B</idno>
<idno type="DOI">10.1007/BF02192249</idno>
<idno type="ArticleID">BF02192249</idno>
<idno type="ArticleID">Art7</idno>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0022-3239</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: For a class of ill-posed, convex semi-infinite programming problems, a regularized path-following strategy is developed. This approach consists in a coordinated application of adaptive discretization and prox-regularization procedures combined with a penalty method. At each iteration, only an approximate minimum of a strongly convex differentiable function has to be calculated, and this can be done by any fast-convergent algorithm. The use of prox-regularization ensures the convergence of the iterates to some solution of the original problem. Due to regularization, an efficient deleting rule is applicable, which excludes an essential part of the constraints in the discretized problems.</div>
</front>
</TEI>
<affiliations><list><country><li>Allemagne</li>
</country>
<region><li>Berlin</li>
</region>
<settlement><li>Berlin</li>
</settlement>
</list>
<tree><country name="Allemagne"><region name="Berlin"><name sortKey="Kaplan, A" sort="Kaplan, A" uniqKey="Kaplan A" first="A." last="Kaplan">A. Kaplan</name>
</region>
<name sortKey="Tichatschke, R" sort="Tichatschke, R" uniqKey="Tichatschke R" first="R." last="Tichatschke">R. Tichatschke</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002762 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 002762 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Rhénanie |area= UnivTrevesV1 |flux= Main |étape= Exploration |type= RBID |clé= ISTEX:FDBD23B97D8F08A8E8907E4DF25D8E0D58B51C3B |texte= Path-following proximal approach for solving Ill-posed convex semi-infinite programming problems }}
This area was generated with Dilib version V0.6.31. |