{"id":"https://openalex.org/W1897801518","doi":"https://doi.org/10.1007/978-94-017-9054-3_4","title":"On Alternating Direction Methods of Multipliers: A Historical Perspective","display_name":"On Alternating Direction Methods of Multipliers: A Historical Perspective","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1897801518","doi":"https://doi.org/10.1007/978-94-017-9054-3_4","mag":"1897801518"},"language":"en","primary_location":{"id":"doi:10.1007/978-94-017-9054-3_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-94-017-9054-3_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210177356","display_name":"Computational methods in applied sciences","issn_l":"1871-3033","issn":["1871-3033","2543-0203"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320108","host_organization_name":"Springer Nature (Netherlands)","host_organization_lineage":["https://openalex.org/P4310320108","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature (Netherlands)","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Sciences","raw_type":"book-chapter"},"type":"book-chapter","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/A5056887719","display_name":"Roland Glowinski","orcid":null},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Roland Glowinski","raw_affiliation_strings":["Department of Mathematics, University of Houston, Houston, USA","[Univ. of Houston]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, Houston, USA","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"[Univ. of Houston]","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056887719"],"corresponding_institution_ids":["https://openalex.org/I44461941"],"apc_list":null,"apc_paid":null,"fwci":59.45,"has_fulltext":false,"cited_by_count":167,"citation_normalized_percentile":{"value":1.0,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"59","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.645287811756134},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.5495839715003967},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5134952664375305},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4918642044067383},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4749603271484375},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46761712431907654},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4609016180038452},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.45884430408477783},{"id":"https://openalex.org/keywords/presentation","display_name":"Presentation (obstetrics)","score":0.43167662620544434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3770495355129242},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35187527537345886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32651132345199585},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2477424442768097},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17525625228881836},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1468333899974823},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1464424729347229},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09358355402946472}],"concepts":[{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.645287811756134},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.5495839715003967},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5134952664375305},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4918642044067383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4749603271484375},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46761712431907654},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4609016180038452},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.45884430408477783},{"id":"https://openalex.org/C2777601897","wikidata":"https://www.wikidata.org/wiki/Q3409113","display_name":"Presentation (obstetrics)","level":2,"score":0.43167662620544434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3770495355129242},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35187527537345886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32651132345199585},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2477424442768097},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17525625228881836},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1468333899974823},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1464424729347229},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09358355402946472},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-94-017-9054-3_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-94-017-9054-3_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210177356","display_name":"Computational methods in applied sciences","issn_l":"1871-3033","issn":["1871-3033","2543-0203"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320108","host_organization_name":"Springer Nature (Netherlands)","host_organization_lineage":["https://openalex.org/P4310320108","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature (Netherlands)","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Sciences","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W80289139","https://openalex.org/W85719053","https://openalex.org/W594121438","https://openalex.org/W1488488257","https://openalex.org/W1524324710","https://openalex.org/W1579797706","https://openalex.org/W1592217569","https://openalex.org/W1658203550","https://openalex.org/W1986080131","https://openalex.org/W1994986764","https://openalex.org/W2004326643","https://openalex.org/W2016910236","https://openalex.org/W2019569173","https://openalex.org/W2020461703","https://openalex.org/W2033736734","https://openalex.org/W2048463472","https://openalex.org/W2049643151","https://openalex.org/W2057624533","https://openalex.org/W2066981052","https://openalex.org/W2086670019","https://openalex.org/W2099655567","https://openalex.org/W2135095945","https://openalex.org/W2141489606","https://openalex.org/W2142058898","https://openalex.org/W2164278908","https://openalex.org/W2224805395","https://openalex.org/W2241855704","https://openalex.org/W2244987555","https://openalex.org/W2260372921","https://openalex.org/W2985272081","https://openalex.org/W4205410385","https://openalex.org/W4292363360","https://openalex.org/W4301283118"],"related_works":["https://openalex.org/W4387426029","https://openalex.org/W4254162896","https://openalex.org/W4388792380","https://openalex.org/W1477999932","https://openalex.org/W4386731653","https://openalex.org/W99504509","https://openalex.org/W2364148186","https://openalex.org/W2332830220","https://openalex.org/W1597824865","https://openalex.org/W2115763819"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":23},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":5}],"updated_date":"2026-06-10T14:10:52.464848","created_date":"2025-10-10T00:00:00"}