{"id":"https://openalex.org/W2883550796","doi":"https://doi.org/10.1080/10556788.2018.1496431","title":"A sharp augmented Lagrangian-based method in constrained non-convex optimization","display_name":"A sharp augmented Lagrangian-based method in constrained non-convex optimization","publication_year":2018,"publication_date":"2018-07-23","ids":{"openalex":"https://openalex.org/W2883550796","doi":"https://doi.org/10.1080/10556788.2018.1496431","mag":"2883550796"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2018.1496431","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2018.1496431","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/A5040706121","display_name":"Adil Bagirov","orcid":"https://orcid.org/0000-0003-2075-1699"},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"A. M. Bagirov","raw_affiliation_strings":["Faculty of Science and Technology, Federation University Australia, Victoria, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, Federation University Australia, Victoria, Australia","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004800651","display_name":"G\u00fcrkan \u00d6zt\u00fcrk","orcid":"https://orcid.org/0000-0002-9480-176X"},"institutions":[{"id":"https://openalex.org/I133743585","display_name":"Anadolu University","ror":"https://ror.org/05nz37n09","country_code":"TR","type":"education","lineage":["https://openalex.org/I133743585"]},{"id":"https://openalex.org/I4210091745","display_name":"Eski\u015fehir City Hospital","ror":"https://ror.org/00czdkn85","country_code":"TR","type":"healthcare","lineage":["https://openalex.org/I1303077703","https://openalex.org/I4210091745"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"G. Ozturk","raw_affiliation_strings":["Department of Industrial Engineering, Faculty of Engineering, Anadolu University, Eskisehir, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-9480-176X","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Faculty of Engineering, Anadolu University, Eskisehir, Turkey","institution_ids":["https://openalex.org/I133743585","https://openalex.org/I4210091745"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061606912","display_name":"Refail Kas\u0131mbeyli","orcid":"https://orcid.org/0000-0002-7339-9409"},"institutions":[{"id":"https://openalex.org/I133743585","display_name":"Anadolu University","ror":"https://ror.org/05nz37n09","country_code":"TR","type":"education","lineage":["https://openalex.org/I133743585"]},{"id":"https://openalex.org/I4210091745","display_name":"Eski\u015fehir City Hospital","ror":"https://ror.org/00czdkn85","country_code":"TR","type":"healthcare","lineage":["https://openalex.org/I1303077703","https://openalex.org/I4210091745"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"R. Kasimbeyli","raw_affiliation_strings":["Department of Industrial Engineering, Faculty of Engineering, Anadolu University, Eskisehir, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Faculty of Engineering, Anadolu University, Eskisehir, Turkey","institution_ids":["https://openalex.org/I133743585","https://openalex.org/I4210091745"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061606912"],"corresponding_institution_ids":["https://openalex.org/I133743585","https://openalex.org/I4210091745"],"apc_list":null,"apc_paid":null,"fwci":2.3878,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88135985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"34","issue":"3","first_page":"462","last_page":"488"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9976000189781189,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.9259096384048462},{"id":"https://openalex.org/keywords/inner-loop","display_name":"Inner loop","score":0.6942291855812073},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6044039130210876},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5946873426437378},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5884940028190613},{"id":"https://openalex.org/keywords/constrained-optimization-problem","display_name":"Constrained optimization problem","score":0.5707489252090454},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5481919050216675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5325685143470764},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5255259871482849},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5071923732757568},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.49406006932258606},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.47415536642074585},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46872103214263916},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.4447607100009918},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.4371095895767212},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4127199053764343},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3032441735267639},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08967489004135132},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05385538935661316}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.9259096384048462},{"id":"https://openalex.org/C58716799","wikidata":"https://www.wikidata.org/wiki/Q6035648","display_name":"Inner loop","level":3,"score":0.6942291855812073},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6044039130210876},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5946873426437378},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5884940028190613},{"id":"https://openalex.org/C2989514635","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization problem","level":3,"score":0.5707489252090454},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5481919050216675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5325685143470764},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5255259871482849},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5071923732757568},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.49406006932258606},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.47415536642074585},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46872103214263916},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.4447607100009918},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.4371095895767212},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4127199053764343},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3032441735267639},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08967489004135132},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05385538935661316},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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/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/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10556788.2018.1496431","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2018.1496431","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"},{"id":"pmh:vital:13828","is_oa":false,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/168518","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8212455752","display_name":"Exploring and exploiting structures in nonsmooth and global optimization problems","funder_award_id":"DP140103213","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W4394890","https://openalex.org/W58716555","https://openalex.org/W147998453","https://openalex.org/W197366427","https://openalex.org/W356322785","https://openalex.org/W1531386198","https://openalex.org/W1551360398","https://openalex.org/W1563737017","https://openalex.org/W1748199557","https://openalex.org/W1975472729","https://openalex.org/W1982203621","https://openalex.org/W1987995897","https://openalex.org/W1988832226","https://openalex.org/W2008685729","https://openalex.org/W2016670346","https://openalex.org/W2019916284","https://openalex.org/W2031244688","https://openalex.org/W2033063724","https://openalex.org/W2037091587","https://openalex.org/W2037162925","https://openalex.org/W2042613327","https://openalex.org/W2048153686","https://openalex.org/W2050332882","https://openalex.org/W2050510066","https://openalex.org/W2057287114","https://openalex.org/W2057624533","https://openalex.org/W2062058089","https://openalex.org/W2074140092","https://openalex.org/W2075572180","https://openalex.org/W2076744267","https://openalex.org/W2084186221","https://openalex.org/W2094181350","https://openalex.org/W2116462758","https://openalex.org/W2121314695","https://openalex.org/W2142960723","https://openalex.org/W2145313796","https://openalex.org/W2151092342","https://openalex.org/W2155865164","https://openalex.org/W2171074980","https://openalex.org/W2172263749","https://openalex.org/W2485305008","https://openalex.org/W4240022917","https://openalex.org/W4243140258","https://openalex.org/W4249513058","https://openalex.org/W4254313632"],"related_works":["https://openalex.org/W2152334450","https://openalex.org/W81728155","https://openalex.org/W1788398095","https://openalex.org/W2911717707","https://openalex.org/W2238101614","https://openalex.org/W3146176072","https://openalex.org/W4313189992","https://openalex.org/W112276359","https://openalex.org/W2011362212","https://openalex.org/W2615021531"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,91],"novel":[4],"sharp":[5,40],"Augmented":[6],"Lagrangian-based":[7],"global":[8],"optimization":[9,17,100],"method":[10,34,80,87],"is":[11,35,88],"developed":[12],"for":[13,77],"solving":[14],"constrained":[15,99],"non-convex":[16],"problems.":[18],"The":[19,74,83],"algorithm":[20,50],"consists":[21],"of":[22,85,94],"outer":[23,72],"and":[24,97],"inner":[25,29,59],"loops.":[26],"At":[27],"each":[28],"iteration,":[30],"the":[31,39,46,49,54,58,63,71,78,86,104],"discrete":[32],"gradient":[33],"applied":[36],"to":[37,70],"minimize":[38],"augmented":[41],"Lagrangian":[42],"function.":[43],"Depending":[44],"on":[45],"solution":[47],"found":[48],"stops":[51],"or":[52,61,65],"updates":[53,62],"dual":[55],"variables":[56],"in":[57],"loop,":[60],"upper":[64],"lower":[66],"bounds":[67],"by":[68],"going":[69],"loop.":[73],"convergence":[75],"results":[76],"proposed":[79],"are":[81],"presented.":[82],"performance":[84],"demonstrated":[89],"using":[90],"wide":[92],"range":[93],"nonlinear":[95],"smooth":[96],"non-smooth":[98],"test":[101],"problems":[102],"from":[103],"literature.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
