{"id":"https://openalex.org/W2064066100","doi":"https://doi.org/10.1007/s10589-011-9417-z","title":"An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures","display_name":"An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures","publication_year":2011,"publication_date":"2011-06-03","ids":{"openalex":"https://openalex.org/W2064066100","doi":"https://doi.org/10.1007/s10589-011-9417-z","mag":"2064066100"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-011-9417-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-011-9417-z","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/A5072825287","display_name":"Min Tao","orcid":"https://orcid.org/0000-0003-4750-2959"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Min Tao","raw_affiliation_strings":["School of Science, Nanjing University of Posts and Telecommunications, #9 Culture Gardens Road, Nanjing, 210046, Jiangsu, China","School of Science, Nanjing University of Posts and Telecommunications, Nanjing, China 210046"],"affiliations":[{"raw_affiliation_string":"School of Science, Nanjing University of Posts and Telecommunications, #9 Culture Gardens Road, Nanjing, 210046, Jiangsu, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"School of Science, Nanjing University of Posts and Telecommunications, Nanjing, China 210046","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060269704","display_name":"Xiaoming Yuan","orcid":"https://orcid.org/0000-0002-6900-6983"},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Xiaoming Yuan","raw_affiliation_strings":["Department of Mathematics, Hong Kong Baptist University, Hong Kong, China","Department of Mathematics,  Hong Kong Baptist University,  Hong Kong,  China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong Baptist University, Hong Kong, China","institution_ids":["https://openalex.org/I141568987"]},{"raw_affiliation_string":"Department of Mathematics,  Hong Kong Baptist University,  Hong Kong,  China","institution_ids":["https://openalex.org/I141568987"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072825287"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2926,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80182882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"52","issue":"2","first_page":"439","last_page":"461"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9965999722480774,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9751999974250793,"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/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.8898232579231262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8453834056854248},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8222343921661377},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.8182291388511658},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.7375185489654541},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6392751932144165},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5579330325126648},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5568963885307312},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5015180110931396},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4465065002441406},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3793480694293976},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28032785654067993},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08554050326347351}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.8898232579231262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8453834056854248},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8222343921661377},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.8182291388511658},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7375185489654541},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6392751932144165},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5579330325126648},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5568963885307312},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5015180110931396},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4465065002441406},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3793480694293976},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28032785654067993},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08554050326347351},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10589-011-9417-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-011-9417-z","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:52:y:2012:i:2:p:439-461","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-011-9417-z","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"},{"id":"pmh:oai:hub.hku.hk:10722/250991","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/250991","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:repository.hkbu.edu.hk:hkbu_staff_publication-2083","is_oa":false,"landing_page_url":"https://repository.hkbu.edu.hk/hkbu_staff_publication/1069","pdf_url":null,"source":{"id":"https://openalex.org/S4377196872","display_name":"HKBU Institutional Repository (Hong Kong Baptist University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I141568987","host_organization_name":"Hong Kong Baptist University","host_organization_lineage":["https://openalex.org/I141568987"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"HKBU Staff Publication","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W74105626","https://openalex.org/W635755880","https://openalex.org/W1125881252","https://openalex.org/W1263475093","https://openalex.org/W1486118835","https://openalex.org/W1488903562","https://openalex.org/W1543439990","https://openalex.org/W1603765807","https://openalex.org/W1964709249","https://openalex.org/W1967077838","https://openalex.org/W2026517977","https://openalex.org/W2032209591","https://openalex.org/W2033736734","https://openalex.org/W2038497950","https://openalex.org/W2045079045","https://openalex.org/W2047515743","https://openalex.org/W2058532290","https://openalex.org/W2064704422","https://openalex.org/W2079261074","https://openalex.org/W2985272081","https://openalex.org/W3149661183","https://openalex.org/W3199149775","https://openalex.org/W4285719527","https://openalex.org/W4301283118","https://openalex.org/W4301791716"],"related_works":["https://openalex.org/W2945389260","https://openalex.org/W2131718214","https://openalex.org/W2085771669","https://openalex.org/W1995052494","https://openalex.org/W3119649825","https://openalex.org/W2008452439","https://openalex.org/W2383497899","https://openalex.org/W1480423627","https://openalex.org/W2315802443","https://openalex.org/W1896972881"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
