{"id":"https://openalex.org/W2468458883","doi":"https://doi.org/10.1080/10556788.2016.1196206","title":"Splitting augmented Lagrangian method for optimization problems with a cardinality constraint and semicontinuous variables","display_name":"Splitting augmented Lagrangian method for optimization problems with a cardinality constraint and semicontinuous variables","publication_year":2016,"publication_date":"2016-07-07","ids":{"openalex":"https://openalex.org/W2468458883","doi":"https://doi.org/10.1080/10556788.2016.1196206","mag":"2468458883"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2016.1196206","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2016.1196206","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/A5078743112","display_name":"Yanqin Bai","orcid":"https://orcid.org/0000-0002-6038-0805"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanqin Bai","raw_affiliation_strings":["Department of Mathematics, Shanghai University, Shanghai, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai University, Shanghai, People's Republic of China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073652257","display_name":"Renli Liang","orcid":"https://orcid.org/0000-0003-4263-8240"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Renli Liang","raw_affiliation_strings":["Department of Mathematics, Shanghai University, Shanghai, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai University, Shanghai, People's Republic of China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047580521","display_name":"Zhouwang Yang","orcid":"https://orcid.org/0000-0002-9454-9146"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhouwang Yang","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, People's Republic of China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078743112"],"corresponding_institution_ids":["https://openalex.org/I113940042"],"apc_list":null,"apc_paid":null,"fwci":0.9257,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.74077807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"31","issue":"5","first_page":"1089","last_page":"1109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.858155369758606},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6690764427185059},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6238753795623779},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6143641471862793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6076210737228394},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5022904872894287},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.49421361088752747},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.48638346791267395},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.484338641166687},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4366312026977539},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41907787322998047},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2705519497394562},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1529148519039154},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07408317923545837}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.858155369758606},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6690764427185059},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6238753795623779},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6143641471862793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6076210737228394},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5022904872894287},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49421361088752747},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.48638346791267395},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.484338641166687},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4366312026977539},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41907787322998047},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2705519497394562},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1529148519039154},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07408317923545837},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"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/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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556788.2016.1196206","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2016.1196206","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G8405810709","display_name":null,"funder_award_id":"11371242","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W177423371","https://openalex.org/W638016179","https://openalex.org/W1169446106","https://openalex.org/W1986931325","https://openalex.org/W1996696279","https://openalex.org/W2010775750","https://openalex.org/W2022611944","https://openalex.org/W2036699147","https://openalex.org/W2041781650","https://openalex.org/W2049967295","https://openalex.org/W2068548513","https://openalex.org/W2074465099","https://openalex.org/W2083137236","https://openalex.org/W2105907620","https://openalex.org/W2109449402","https://openalex.org/W2151237529","https://openalex.org/W2166029977","https://openalex.org/W2166207339","https://openalex.org/W2170569252","https://openalex.org/W2611293703","https://openalex.org/W2963579802","https://openalex.org/W3122931884","https://openalex.org/W4299439662"],"related_works":["https://openalex.org/W4313189992","https://openalex.org/W1788398095","https://openalex.org/W2615021531","https://openalex.org/W2076134677","https://openalex.org/W1989415423","https://openalex.org/W1948655259","https://openalex.org/W3105202832","https://openalex.org/W59247221","https://openalex.org/W2478018497","https://openalex.org/W2061155636"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,11],"new":[3],"splitting":[4],"augmented":[5],"Lagrangian":[6],"method":[7,32],"(SALM)":[8],"for":[9],"solving":[10],"class":[12],"of":[13,71],"optimization":[14],"problems":[15],"with":[16],"both":[17],"cardinality":[18],"constraint":[19],"and":[20,36,85,104],"semicontinuous":[21],"variables":[22],"constraint.":[23],"The":[24],"proposed":[25],"approach,":[26],"inspired":[27],"by":[28],"the":[29,53,69,81,86,97,105],"penalty":[30,42,106],"decomposition":[31,43,107],"in":[33,101],"[Z.S.":[34],"Lu":[35],"Y.":[37],"Zhang,":[38],"Sparse":[39],"approximation":[40],"via":[41],"methods,":[44],"SIAM":[45],"J.":[46],"Optim.":[47],"23(4)":[48],"(2013),":[49],"pp.":[50],"2448\u20132478],":[51],"splits":[52],"problem":[54,84],"into":[55],"two":[56,63],"subproblems":[57,64],"using":[58],"auxiliary":[59],"variables.":[60],"SALM":[61,77,95],"solves":[62],"alternatively.":[65],"Furthermore,":[66],"we":[67],"prove":[68],"convergence":[70],"SALM,":[72],"under":[73],"certain":[74],"assumptions.":[75],"Finally,":[76],"is":[78],"implemented":[79],"on":[80],"portfolio":[82],"selection":[83],"compressed":[87],"sensing":[88],"problem,":[89],"respectively.":[90,109],"Numerical":[91],"results":[92],"show":[93],"that":[94],"outperforms":[96],"well-known":[98],"tailored":[99],"approach":[100],"CPLEX":[102],"12.6":[103],"method,":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
