A Global Algorithm for Nonlinear Semidefinite Programming

A Global Algorithm for Nonlinear Semidefinite Programming

In this paper we propose a global algorithm for solving nonlinear semidefinite programming problems. This algorithm, inspired by the classic SQP (sequentially quadratic programming) method, modifies the S-SDP (sequentially semidefinite programming) local method by using a nondifferentiable merit fun...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:SIAM journal on optimization 2004-01, Vol.15 (1), p.303-318
Hauptverfasser: Correa, Rafael, C., Hector Ramirez
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Applied mathematics
Control theory
Mathematical programming
Semidefinite programming
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 318
container_issue 1
container_start_page 303
container_title SIAM journal on optimization
container_volume 15
creator Correa, Rafael
C., Hector Ramirez
description In this paper we propose a global algorithm for solving nonlinear semidefinite programming problems. This algorithm, inspired by the classic SQP (sequentially quadratic programming) method, modifies the S-SDP (sequentially semidefinite programming) local method by using a nondifferentiable merit function combined with a line search strategy.
doi_str_mv 10.1137/S1052623402417298
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_920454844</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2581982621</sourcerecordid><originalsourceid>FETCH-LOGICAL-c381t-9b96deb7e1d7bbe36eb888d815e3b8829460a2d0511a4932a5a04d228c6030883</originalsourceid><addsrcrecordid>eNplkE9Lw0AUxBdRsFY_gLfgPfre_kneHkPRKhQVquewSTZxS5Ktu-nBb29DvXmagfkxA8PYLcI9osgftgiKZ1xI4BJzrumMLRC0SnMkfT57xdM5v2RXMe4AgHRGC6aLZN37yvRJ0Xc-uOlrSFofklc_9m60JiRbO7jGtm50k03eg--CGQY3dtfsojV9tDd_umSfT48fq-d087Z-WRWbtBaEU6ornTW2yi02eVVZkdmKiBpCZcXRcS0zMLwBhWikFtwoA7LhnOoMBBCJJbs79e6D_z7YOJU7fwjjcbLUHKSSJOURwhNUBx9jsG25D24w4adEKOeDyn8HiV93KlZ3</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>920454844</pqid></control><display><type>article</type><title>A Global Algorithm for Nonlinear Semidefinite Programming</title><source>SIAM Journals Online</source><source>EBSCOhost Business Source Complete</source><creator>Correa, Rafael ; C., Hector Ramirez</creator><creatorcontrib>Correa, Rafael ; C., Hector Ramirez</creatorcontrib><description>In this paper we propose a global algorithm for solving nonlinear semidefinite programming problems. This algorithm, inspired by the classic SQP (sequentially quadratic programming) method, modifies the S-SDP (sequentially semidefinite programming) local method by using a nondifferentiable merit function combined with a line search strategy.</description><identifier>ISSN: 1052-6234</identifier><identifier>EISSN: 1095-7189</identifier><identifier>DOI: 10.1137/S1052623402417298</identifier><language>eng</language><publisher>Philadelphia: Society for Industrial and Applied Mathematics</publisher><subject>Algorithms ; Applied mathematics ; Control theory ; Mathematical programming ; Semidefinite programming</subject><ispartof>SIAM journal on optimization, 2004-01, Vol.15 (1), p.303-318</ispartof><rights>[Copyright] © 2004 Society for Industrial and Applied Mathematics</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c381t-9b96deb7e1d7bbe36eb888d815e3b8829460a2d0511a4932a5a04d228c6030883</citedby><cites>FETCH-LOGICAL-c381t-9b96deb7e1d7bbe36eb888d815e3b8829460a2d0511a4932a5a04d228c6030883</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,3184,27924,27925</link.rule.ids></links><search><creatorcontrib>Correa, Rafael</creatorcontrib><creatorcontrib>C., Hector Ramirez</creatorcontrib><title>A Global Algorithm for Nonlinear Semidefinite Programming</title><title>SIAM journal on optimization</title><description>In this paper we propose a global algorithm for solving nonlinear semidefinite programming problems. This algorithm, inspired by the classic SQP (sequentially quadratic programming) method, modifies the S-SDP (sequentially semidefinite programming) local method by using a nondifferentiable merit function combined with a line search strategy.</description><subject>Algorithms</subject><subject>Applied mathematics</subject><subject>Control theory</subject><subject>Mathematical programming</subject><subject>Semidefinite programming</subject><issn>1052-6234</issn><issn>1095-7189</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNplkE9Lw0AUxBdRsFY_gLfgPfre_kneHkPRKhQVquewSTZxS5Ktu-nBb29DvXmagfkxA8PYLcI9osgftgiKZ1xI4BJzrumMLRC0SnMkfT57xdM5v2RXMe4AgHRGC6aLZN37yvRJ0Xc-uOlrSFofklc_9m60JiRbO7jGtm50k03eg--CGQY3dtfsojV9tDd_umSfT48fq-d087Z-WRWbtBaEU6ornTW2yi02eVVZkdmKiBpCZcXRcS0zMLwBhWikFtwoA7LhnOoMBBCJJbs79e6D_z7YOJU7fwjjcbLUHKSSJOURwhNUBx9jsG25D24w4adEKOeDyn8HiV93KlZ3</recordid><startdate>20040101</startdate><enddate>20040101</enddate><creator>Correa, Rafael</creator><creator>C., Hector Ramirez</creator><general>Society for Industrial and Applied Mathematics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7RQ</scope><scope>7WY</scope><scope>7WZ</scope><scope>7X2</scope><scope>7XB</scope><scope>87Z</scope><scope>88A</scope><scope>88F</scope><scope>88I</scope><scope>88K</scope><scope>8AL</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KB.</scope><scope>L.-</scope><scope>L6V</scope><scope>LK8</scope><scope>M0C</scope><scope>M0K</scope><scope>M0N</scope><scope>M1Q</scope><scope>M2O</scope><scope>M2P</scope><scope>M2T</scope><scope>M7P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PATMY</scope><scope>PDBOC</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>PYCSY</scope><scope>Q9U</scope><scope>U9A</scope></search><sort><creationdate>20040101</creationdate><title>A Global Algorithm for Nonlinear Semidefinite Programming</title><author>Correa, Rafael ; C., Hector Ramirez</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c381t-9b96deb7e1d7bbe36eb888d815e3b8829460a2d0511a4932a5a04d228c6030883</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Algorithms</topic><topic>Applied mathematics</topic><topic>Control theory</topic><topic>Mathematical programming</topic><topic>Semidefinite programming</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Correa, Rafael</creatorcontrib><creatorcontrib>C., Hector Ramirez</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Career &amp; Technical Education Database</collection><collection>Access via ABI/INFORM (ProQuest)</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>Agricultural Science Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Global (Alumni Edition)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Military Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>Telecommunications (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>Agricultural &amp; Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>Materials Science Database</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Biological Science Collection</collection><collection>ABI/INFORM Global</collection><collection>Agricultural Science Database</collection><collection>Computing Database</collection><collection>Military Database</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Telecommunications Database</collection><collection>Biological Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Environmental Science Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>Environmental Science Collection</collection><collection>ProQuest Central Basic</collection><jtitle>SIAM journal on optimization</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Correa, Rafael</au><au>C., Hector Ramirez</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Global Algorithm for Nonlinear Semidefinite Programming</atitle><jtitle>SIAM journal on optimization</jtitle><date>2004-01-01</date><risdate>2004</risdate><volume>15</volume><issue>1</issue><spage>303</spage><epage>318</epage><pages>303-318</pages><issn>1052-6234</issn><eissn>1095-7189</eissn><abstract>In this paper we propose a global algorithm for solving nonlinear semidefinite programming problems. This algorithm, inspired by the classic SQP (sequentially quadratic programming) method, modifies the S-SDP (sequentially semidefinite programming) local method by using a nondifferentiable merit function combined with a line search strategy.</abstract><cop>Philadelphia</cop><pub>Society for Industrial and Applied Mathematics</pub><doi>10.1137/S1052623402417298</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1052-6234
ispartof SIAM journal on optimization, 2004-01, Vol.15 (1), p.303-318
issn 1052-6234
1095-7189
language eng
recordid cdi_proquest_journals_920454844
source SIAM Journals Online; EBSCOhost Business Source Complete
subjects Algorithms
Applied mathematics
Control theory
Mathematical programming
Semidefinite programming
title A Global Algorithm for Nonlinear Semidefinite Programming
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T09%3A03%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20Global%20Algorithm%20for%20Nonlinear%20Semidefinite%20Programming&rft.jtitle=SIAM%20journal%20on%20optimization&rft.au=Correa,%20Rafael&rft.date=2004-01-01&rft.volume=15&rft.issue=1&rft.spage=303&rft.epage=318&rft.pages=303-318&rft.issn=1052-6234&rft.eissn=1095-7189&rft_id=info:doi/10.1137/S1052623402417298&rft_dat=%3Cproquest_cross%3E2581982621%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=920454844&rft_id=info:pmid/&rfr_iscdi=true