{"id":"https://openalex.org/W2051985810","doi":"https://doi.org/10.1007/s10589-013-9568-1","title":"Global convergence of modified augmented Lagrangian methods for nonlinear semidefinite programming","display_name":"Global convergence of modified augmented Lagrangian methods for nonlinear semidefinite programming","publication_year":2013,"publication_date":"2013-05-28","ids":{"openalex":"https://openalex.org/W2051985810","doi":"https://doi.org/10.1007/s10589-013-9568-1","mag":"2051985810"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-013-9568-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-013-9568-1","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100940493","display_name":"Huixian Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huixian Wu","raw_affiliation_strings":["Department of Mathematics, College of Science, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, People\u2019s Republic of China","HangZhou Dianzi University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, People\u2019s Republic of China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"HangZhou Dianzi University","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025452128","display_name":"Hezhi Luo","orcid":"https://orcid.org/0000-0001-9385-5697"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hezhi Luo","raw_affiliation_strings":["Department of Applied Mathematics, College of Science, Zhejiang University of Technology, Hangzhou, 310032, Zhejiang, People\u2019s Republic of China","Zhejiang University of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, College of Science, Zhejiang University of Technology, Hangzhou, 310032, Zhejiang, People\u2019s Republic of China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"Zhejiang University of Technology","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051752837","display_name":"Xiaodong Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaodong Ding","raw_affiliation_strings":["Department of Applied Mathematics, College of Science, Zhejiang University of Technology, Hangzhou, 310032, Zhejiang, People\u2019s Republic of China","Zhejiang University of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, College of Science, Zhejiang University of Technology, Hangzhou, 310032, Zhejiang, People\u2019s Republic of China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"Zhejiang University of Technology","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101983121","display_name":"Guanting Chen","orcid":"https://orcid.org/0000-0003-1354-5192"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanting Chen","raw_affiliation_strings":["Department of Mathematics, College of Science, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, People\u2019s Republic of China","HangZhou Dianzi University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, People\u2019s Republic of China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"HangZhou Dianzi University","institution_ids":["https://openalex.org/I50760025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100940493"],"corresponding_institution_ids":["https://openalex.org/I50760025"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4148,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.80157927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"56","issue":"3","first_page":"531","last_page":"558"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8419680595397949},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.815956711769104},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.7939876317977905},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6675088405609131},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.6412506103515625},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5600265860557556},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5059284567832947},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48799270391464233},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.4835200309753418},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4690191149711609},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.4598385691642761},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.11866554617881775},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.05746343731880188}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8419680595397949},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.815956711769104},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.7939876317977905},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6675088405609131},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.6412506103515625},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5600265860557556},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5059284567832947},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48799270391464233},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.4835200309753418},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4690191149711609},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.4598385691642761},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.11866554617881775},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.05746343731880188},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-013-9568-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-013-9568-1","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:56:y:2013:i:3:p:531-558","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-013-9568-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W119682313","https://openalex.org/W120058203","https://openalex.org/W1509805685","https://openalex.org/W1601741115","https://openalex.org/W1973734200","https://openalex.org/W1977951947","https://openalex.org/W1986468691","https://openalex.org/W1986490170","https://openalex.org/W1987995897","https://openalex.org/W1991359458","https://openalex.org/W1992356818","https://openalex.org/W2001122878","https://openalex.org/W2004209776","https://openalex.org/W2004616048","https://openalex.org/W2006582835","https://openalex.org/W2018812345","https://openalex.org/W2029448249","https://openalex.org/W2031981531","https://openalex.org/W2036698238","https://openalex.org/W2042613327","https://openalex.org/W2047882513","https://openalex.org/W2053630114","https://openalex.org/W2055506505","https://openalex.org/W2056483341","https://openalex.org/W2056854783","https://openalex.org/W2057667075","https://openalex.org/W2071467620","https://openalex.org/W2074465099","https://openalex.org/W2076425042","https://openalex.org/W2084186221","https://openalex.org/W2088807200","https://openalex.org/W2090839010","https://openalex.org/W2099959094","https://openalex.org/W2101926728","https://openalex.org/W2153271882","https://openalex.org/W2155865164","https://openalex.org/W2158288046","https://openalex.org/W2158604542","https://openalex.org/W2161496432","https://openalex.org/W2224084562","https://openalex.org/W2798766386","https://openalex.org/W2912522929","https://openalex.org/W3029645440","https://openalex.org/W4242209908","https://openalex.org/W4243539849","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W2385886188","https://openalex.org/W2360271985","https://openalex.org/W2288891047","https://openalex.org/W3186516125","https://openalex.org/W2321904532","https://openalex.org/W1584951881","https://openalex.org/W2905097288","https://openalex.org/W2046866204","https://openalex.org/W1239730545","https://openalex.org/W2373689897"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
