{"id":"https://openalex.org/W2142333440","doi":"https://doi.org/10.1007/s12532-010-0017-1","title":"Alternating direction augmented Lagrangian methods for semidefinite programming","display_name":"Alternating direction augmented Lagrangian methods for semidefinite programming","publication_year":2010,"publication_date":"2010-09-27","ids":{"openalex":"https://openalex.org/W2142333440","doi":"https://doi.org/10.1007/s12532-010-0017-1","mag":"2142333440"},"language":"en","primary_location":{"id":"doi:10.1007/s12532-010-0017-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-010-0017-1","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2949","issn":["1867-2949","1867-2957"],"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":"Mathematical Programming Computation","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/A5006127137","display_name":"Zaiwen Wen","orcid":"https://orcid.org/0000-0003-1762-0671"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zaiwen Wen","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, 10027, USA","Columbia University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, 10027, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Columbia University","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027297328","display_name":"Donald Goldfarb","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Donald Goldfarb","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, 10027, USA","Columbia University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, 10027, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Columbia University","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085908411","display_name":"Wotao Yin","orcid":"https://orcid.org/0000-0001-6697-9731"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wotao Yin","raw_affiliation_strings":["Department of Computational and Applied Mathematics, Rice University, Houston, TX, 77005, USA","**Rice University;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational and Applied Mathematics, Rice University, Houston, TX, 77005, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"**Rice University;","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006127137"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":{"value":2390,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":39.9378,"has_fulltext":false,"cited_by_count":386,"citation_normalized_percentile":{"value":0.99909461,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"2","issue":"3-4","first_page":"203","last_page":"230"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9969000220298767,"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/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.8987950682640076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7072824835777283},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.6779782772064209},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6573117971420288},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.629995584487915},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6118882894515991},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.5571239590644836},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.5298866033554077},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5006821155548096},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.45676755905151367},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.4374571144580841},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.42846575379371643},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42524296045303345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28371161222457886},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.2641293704509735},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.22101786732673645}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.8987950682640076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7072824835777283},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.6779782772064209},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6573117971420288},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.629995584487915},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6118882894515991},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.5571239590644836},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.5298866033554077},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5006821155548096},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.45676755905151367},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.4374571144580841},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.42846575379371643},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42524296045303345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28371161222457886},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2641293704509735},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.22101786732673645},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s12532-010-0017-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-010-0017-1","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2949","issn":["1867-2949","1867-2957"],"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":"Mathematical Programming Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.165.9969","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.165.9969","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.caam.rice.edu/%7Ewy1/paperfiles/Rice_CAAM_TR09-42.PDF","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.212.3044","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.3044","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.columbia.edu/~zw2109/paper/AltPDSDP.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.432.2921","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.432.2921","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.caam.rice.edu/~wy1/paperfiles/Rice_CAAM_TR09-42.PDF","raw_type":"text"},{"id":"pmh:oai:scholarship.rice.edu:1911/102142","is_oa":false,"landing_page_url":"http://hdl.handle.net/1911/102142","pdf_url":null,"source":{"id":"https://openalex.org/S4306400220","display_name":"Rice University's digital scholarship archive (Rice University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74775410","host_organization_name":"Rice University","host_organization_lineage":["https://openalex.org/I74775410"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical report"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W572922989","https://openalex.org/W1553702074","https://openalex.org/W1562101002","https://openalex.org/W1603765807","https://openalex.org/W1966881087","https://openalex.org/W1978333359","https://openalex.org/W1979072167","https://openalex.org/W1983357136","https://openalex.org/W1985812215","https://openalex.org/W2000556369","https://openalex.org/W2007218093","https://openalex.org/W2009702064","https://openalex.org/W2010286849","https://openalex.org/W2026517977","https://openalex.org/W2033736734","https://openalex.org/W2046866204","https://openalex.org/W2058532290","https://openalex.org/W2069572432","https://openalex.org/W2076577053","https://openalex.org/W2079261074","https://openalex.org/W2084874367","https://openalex.org/W2092162155","https://openalex.org/W2099799470","https://openalex.org/W2138505091","https://openalex.org/W2139596861","https://openalex.org/W2143075842","https://openalex.org/W2149454052","https://openalex.org/W2167628558","https://openalex.org/W2169053534","https://openalex.org/W2338600608","https://openalex.org/W2495457432","https://openalex.org/W2607539118","https://openalex.org/W2912522929","https://openalex.org/W2949483514","https://openalex.org/W4243539849","https://openalex.org/W4253214256","https://openalex.org/W4301283118","https://openalex.org/W6736742273"],"related_works":["https://openalex.org/W2915353907","https://openalex.org/W4312837919","https://openalex.org/W2773717755","https://openalex.org/W4285149922","https://openalex.org/W2001965277","https://openalex.org/W85908614","https://openalex.org/W2029448249","https://openalex.org/W2114258520","https://openalex.org/W3144492735","https://openalex.org/W2142333440"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":29},{"year":2020,"cited_by_count":26},{"year":2019,"cited_by_count":29},{"year":2018,"cited_by_count":33},{"year":2017,"cited_by_count":25},{"year":2016,"cited_by_count":27},{"year":2015,"cited_by_count":39},{"year":2014,"cited_by_count":29},{"year":2013,"cited_by_count":34},{"year":2012,"cited_by_count":26}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-10T00:00:00"}