{"id":"https://openalex.org/W1913585168","doi":"https://doi.org/10.1007/s10208-015-9282-8","title":"An Extragradient-Based Alternating Direction Method for Convex Minimization","display_name":"An Extragradient-Based Alternating Direction Method for Convex Minimization","publication_year":2015,"publication_date":"2015-08-31","ids":{"openalex":"https://openalex.org/W1913585168","doi":"https://doi.org/10.1007/s10208-015-9282-8","mag":"1913585168"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-015-9282-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9282-8","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","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/A5083720030","display_name":"Tianyi Lin","orcid":"https://orcid.org/0000-0002-5323-1852"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tianyi Lin","raw_affiliation_strings":["Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong","The Chinese University of Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"The Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008787209","display_name":"Shiqian Ma","orcid":"https://orcid.org/0000-0003-1967-1069"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiqian Ma","raw_affiliation_strings":["Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong","The Chinese University of Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"The Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089542160","display_name":"Shuzhong Zhang","orcid":"https://orcid.org/0000-0001-5838-1676"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuzhong Zhang","raw_affiliation_strings":["Department of Industrial and Systems Engineering, University of Minnesota, Minneapolis, MN, 55455, USA","University of\u00a0Minnesota"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"University of\u00a0Minnesota","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083720030"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.6927,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.97091817,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"17","issue":"1","first_page":"35","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9894000291824341,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9679999947547913,"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/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7353551387786865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7168247103691101},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.607714056968689},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5714901089668274},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5204408764839172},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4893130958080292},{"id":"https://openalex.org/keywords/lasso","display_name":"Lasso (programming language)","score":0.47938990592956543},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47730860114097595},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46622705459594727},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4486355185508728},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4382188320159912},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.4209052324295044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26693859696388245},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18903011083602905},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09983757138252258}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7353551387786865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7168247103691101},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.607714056968689},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5714901089668274},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5204408764839172},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4893130958080292},{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.47938990592956543},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47730860114097595},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46622705459594727},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4486355185508728},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4382188320159912},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.4209052324295044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26693859696388245},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18903011083602905},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09983757138252258},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-015-9282-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9282-8","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W171732086","https://openalex.org/W1519983590","https://openalex.org/W1524324710","https://openalex.org/W1525779601","https://openalex.org/W1905165690","https://openalex.org/W1966953121","https://openalex.org/W1978333359","https://openalex.org/W1986080131","https://openalex.org/W2001266526","https://openalex.org/W2003372231","https://openalex.org/W2003753589","https://openalex.org/W2009702064","https://openalex.org/W2011359124","https://openalex.org/W2012018974","https://openalex.org/W2019569173","https://openalex.org/W2022756980","https://openalex.org/W2026517977","https://openalex.org/W2027347504","https://openalex.org/W2032395696","https://openalex.org/W2033736734","https://openalex.org/W2058532290","https://openalex.org/W2065030431","https://openalex.org/W2079558799","https://openalex.org/W2081746825","https://openalex.org/W2083138589","https://openalex.org/W2084845949","https://openalex.org/W2089559088","https://openalex.org/W2090214813","https://openalex.org/W2091494211","https://openalex.org/W2093042090","https://openalex.org/W2094631364","https://openalex.org/W2095036901","https://openalex.org/W2100556411","https://openalex.org/W2106821132","https://openalex.org/W2117686388","https://openalex.org/W2117699623","https://openalex.org/W2118545728","https://openalex.org/W2132555912","https://openalex.org/W2135046866","https://openalex.org/W2138216979","https://openalex.org/W2140514146","https://openalex.org/W2142058898","https://openalex.org/W2142333440","https://openalex.org/W2145962650","https://openalex.org/W2151128232","https://openalex.org/W2158862299","https://openalex.org/W2161823659","https://openalex.org/W2164278908","https://openalex.org/W2167732364","https://openalex.org/W2216134724","https://openalex.org/W2772692493","https://openalex.org/W2949483514","https://openalex.org/W2962826552","https://openalex.org/W2995360683","https://openalex.org/W3104624268","https://openalex.org/W4247859652","https://openalex.org/W4285719527","https://openalex.org/W4292363360","https://openalex.org/W4301283118"],"related_works":["https://openalex.org/W2804400349","https://openalex.org/W2766166639","https://openalex.org/W4297153560","https://openalex.org/W2964186284","https://openalex.org/W2058485202","https://openalex.org/W4246345140","https://openalex.org/W3208916810","https://openalex.org/W2985979428","https://openalex.org/W4294350732","https://openalex.org/W4224283687"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}