Approximate quasi-Newton methods
Identifieur interne : 003017 ( Main/Exploration ); précédent : 003016; suivant : 003018Approximate quasi-Newton methods
Auteurs : C. T. Kelley [États-Unis] ; E. W. Sachs [Allemagne]Source :
- Mathematical Programming [ 0025-5610 ] ; 1990-03-01.
Abstract
Abstract: We consider the effect of approximation on performance of quasi-Newton methods for infinite dimensional problems. In particular we study methods in which the approximation is refined at each iterate. We show how the local convergence behavior of the quasi-Newton method in the infinite dimensional setting is affected by the refinement strategy. Applications to boundary value problems and integral equations are considered.
Url:
DOI: 10.1007/BF01582251
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001029
- to stream Istex, to step Curation: 000F19
- to stream Istex, to step Checkpoint: 001572
- to stream Main, to step Merge: 003623
- to stream Main, to step Curation: 003017
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Approximate quasi-Newton methods</title><author><name sortKey="Kelley, C T" sort="Kelley, C T" uniqKey="Kelley C" first="C. T." last="Kelley">C. T. Kelley</name></author><author><name sortKey="Sachs, E W" sort="Sachs, E W" uniqKey="Sachs E" first="E. W." last="Sachs">E. W. Sachs</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:BF3E64FF371C4BB2252672C3BD5F59441F9BBED1</idno><date when="1990" year="1990">1990</date><idno type="doi">10.1007/BF01582251</idno><idno type="url">https://api.istex.fr/document/BF3E64FF371C4BB2252672C3BD5F59441F9BBED1/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001029</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001029</idno><idno type="wicri:Area/Istex/Curation">000F19</idno><idno type="wicri:Area/Istex/Checkpoint">001572</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001572</idno><idno type="wicri:doubleKey">0025-5610:1990:Kelley C:approximate:quasi:newton</idno><idno type="wicri:Area/Main/Merge">003623</idno><idno type="wicri:Area/Main/Curation">003017</idno><idno type="wicri:Area/Main/Exploration">003017</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Approximate quasi-Newton methods</title><author><name sortKey="Kelley, C T" sort="Kelley, C T" uniqKey="Kelley C" first="C. T." last="Kelley">C. T. Kelley</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, North Carolina State University, P.O. Box 8205, 27695-8205, Raleigh, NC</wicri:regionArea><placeName><region type="state">Caroline du Nord</region></placeName></affiliation></author><author><name sortKey="Sachs, E W" sort="Sachs, E W" uniqKey="Sachs E" first="E. W." last="Sachs">E. W. Sachs</name><affiliation wicri:level="1"><country xml:lang="fr">Allemagne</country><wicri:regionArea>FB-IV Mathematik, Universität Trier, Postfach 3825, 5500, Trier</wicri:regionArea><wicri:noRegion>Trier</wicri:noRegion><wicri:noRegion>Trier</wicri:noRegion></affiliation></author></analytic><monogr></monogr><series><title level="j">Mathematical Programming</title><title level="j" type="abbrev">Mathematical Programming</title><idno type="ISSN">0025-5610</idno><idno type="eISSN">1436-4646</idno><imprint><publisher>Springer-Verlag</publisher><pubPlace>Berlin/Heidelberg</pubPlace><date type="published" when="1990-03-01">1990-03-01</date><biblScope unit="volume">48</biblScope><biblScope unit="issue">1-3</biblScope><biblScope unit="page" from="41">41</biblScope><biblScope unit="page" to="70">70</biblScope></imprint><idno type="ISSN">0025-5610</idno></series><idno type="istex">BF3E64FF371C4BB2252672C3BD5F59441F9BBED1</idno><idno type="DOI">10.1007/BF01582251</idno><idno type="ArticleID">BF01582251</idno><idno type="ArticleID">Art4</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0025-5610</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: We consider the effect of approximation on performance of quasi-Newton methods for infinite dimensional problems. In particular we study methods in which the approximation is refined at each iterate. We show how the local convergence behavior of the quasi-Newton method in the infinite dimensional setting is affected by the refinement strategy. Applications to boundary value problems and integral equations are considered.</div></front></TEI><affiliations><list><country><li>Allemagne</li><li>États-Unis</li></country><region><li>Caroline du Nord</li></region></list><tree><country name="États-Unis"><region name="Caroline du Nord"><name sortKey="Kelley, C T" sort="Kelley, C T" uniqKey="Kelley C" first="C. T." last="Kelley">C. T. Kelley</name></region></country><country name="Allemagne"><noRegion><name sortKey="Sachs, E W" sort="Sachs, E W" uniqKey="Sachs E" first="E. W." last="Sachs">E. W. Sachs</name></noRegion></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 003017 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 003017 | 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:BF3E64FF371C4BB2252672C3BD5F59441F9BBED1
|texte= Approximate quasi-Newton methods
}}
| This area was generated with Dilib version V0.6.31. |  |