A pointwise quasi-Newton method for unconstrained optimal control problems
Identifieur interne : 000F71 ( Istex/Corpus ); précédent : 000F70; suivant : 000F72A pointwise quasi-Newton method for unconstrained optimal control problems
Auteurs : C. T. Kelley ; E. W. SachsSource :
- Numerische Mathematik [ 0029-599X ] ; 1989-03-01.
Abstract
Summary: For a class of unconstrained optimal control problems we propose a quasi-Newton method that exploits the structure of the problem. We define a new type of superlinear convergence for sequences in function spaces and prove superlinear convergence of the iterates generated by the quasi-Newton method in this sense.
Url:
DOI: 10.1007/BF01406512
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Kelley</name><affiliation><mods:affiliation>Department of Mathematics, North Carolina State University, Box 8205, 27695-8205, Raleigh, NC, USA</mods:affiliation></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><mods:affiliation>Fachbereich IV/Mathematik, Universität Trier, 3825 Postfach, D-5500, Trier, Federal Republic of Germany</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Numerische Mathematik</title><title level="j" type="abbrev">Numer. 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We define a new type of superlinear convergence for sequences in function spaces and prove superlinear convergence of the iterates generated by the quasi-Newton method in this sense.</div></front></TEI><istex><corpusName>springer</corpusName><author><json:item><name>C. T. Kelley</name><affiliations><json:string>Department of Mathematics, North Carolina State University, Box 8205, 27695-8205, Raleigh, NC, USA</json:string></affiliations></json:item><json:item><name>E. W. 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We define a new type of superlinear convergence for sequences in function spaces and prove superlinear convergence of the iterates generated by the quasi-Newton method in this sense.</abstract><qualityIndicators><score>5.588</score><pdfVersion>1.3</pdfVersion><pdfPageSize>403.28 x 633.28 pts</pdfPageSize><refBibsNative>false</refBibsNative><keywordCount>0</keywordCount><abstractCharCount>322</abstractCharCount><pdfWordCount>6765</pdfWordCount><pdfCharCount>29550</pdfCharCount><pdfPageCount>18</pdfPageCount><abstractWordCount>49</abstractWordCount></qualityIndicators><title>A pointwise quasi-Newton method for unconstrained optimal control problems</title><refBibs><json:item><author><json:item><name>C,G Broyden</name></json:item><json:item><name>J,E Dennis</name></json:item><json:item><name>J,J Mor6</name></json:item></author><host><volume>12</volume><pages><last>246</last><first>223</first></pages><author></author><title>Math. 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We define a new type of superlinear convergence for sequences in function spaces and prove superlinear convergence of the iterates generated by the quasi-Newton method in this sense.</Para></Abstract><KeywordGroup Language="En"><Heading>Subject Classifications</Heading><Keyword>AMS(MOS): 65K10</Keyword><Keyword>CR: G1.6</Keyword></KeywordGroup><ArticleNote Type="Misc"><SimplePara>This author supported by NSF grants # DMS-8300841 and # DMS-8500844</SimplePara></ArticleNote></ArticleHeader><NoBody></NoBody></Article></Issue></Volume></Journal></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>A pointwise quasi-Newton method for unconstrained optimal control problems</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>A pointwise quasi-Newton method for unconstrained optimal control problems</title></titleInfo><name type="personal"><namePart type="given">C.</namePart><namePart type="given">T.</namePart><namePart type="family">Kelley</namePart><affiliation>Department of Mathematics, North Carolina State University, Box 8205, 27695-8205, Raleigh, NC, USA</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal" displayLabel="corresp"><namePart type="given">E.</namePart><namePart type="given">W.</namePart><namePart type="family">Sachs</namePart><affiliation>Fachbereich IV/Mathematik, Universität Trier, 3825 Postfach, D-5500, Trier, Federal Republic of Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="OriginalPaper"></genre><originInfo><publisher>Springer-Verlag</publisher><place><placeTerm type="text">Berlin/Heidelberg</placeTerm></place><dateCreated encoding="w3cdtf">1988-12-04</dateCreated><dateIssued encoding="w3cdtf">1989-03-01</dateIssued><copyrightDate encoding="w3cdtf">1989</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">Summary: For a class of unconstrained optimal control problems we propose a quasi-Newton method that exploits the structure of the problem. We define a new type of superlinear convergence for sequences in function spaces and prove superlinear convergence of the iterates generated by the quasi-Newton method in this sense.</abstract><classification displayLabel="Subject Classifications">AMS(MOS): 65K10</classification><classification displayLabel="Subject Classifications">CR: G1.6</classification><relatedItem type="host"><titleInfo><title>Numerische Mathematik</title></titleInfo><titleInfo type="abbreviated"><title>Numer. Math.</title></titleInfo><genre type="journal" displayLabel="Archive Journal"></genre><originInfo><dateIssued encoding="w3cdtf">1989-03-01</dateIssued><copyrightDate encoding="w3cdtf">1989</copyrightDate></originInfo><subject><genre>Mathematics</genre><topic>Mathematics, general</topic><topic>Numerical Analysis</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical Methods in Physics</topic><topic>Numerical and Computational Methods</topic><topic>Appl.Mathematics/Computational Methods of Engineering</topic></subject><identifier type="ISSN">0029-599X</identifier><identifier type="eISSN">0945-3245</identifier><identifier type="JournalID">211</identifier><identifier type="IssueArticleCount">7</identifier><identifier type="VolumeIssueCount">6</identifier><part><date>1989</date><detail type="volume"><number>55</number><caption>vol.</caption></detail><detail type="issue"><number>2</number><caption>no.</caption></detail><extent unit="pages"><start>159</start><end>176</end></extent></part><recordInfo><recordOrigin>Springer-Verlag, 1989</recordOrigin></recordInfo></relatedItem><identifier type="istex">267E320D98EA77AB024CA278B6DE9EAF3854E14C</identifier><identifier type="DOI">10.1007/BF01406512</identifier><identifier type="ArticleID">BF01406512</identifier><identifier type="ArticleID">Art3</identifier><accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag, 1989</accessCondition><recordInfo><recordContentSource>SPRINGER</recordContentSource><recordOrigin>Springer-Verlag, 1989</recordOrigin></recordInfo></mods></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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