{"id":"https://openalex.org/W4409219811","doi":"https://doi.org/10.1007/s10589-025-00680-1","title":"An extended sequential quadratic method with extrapolation","display_name":"An extended sequential quadratic method with extrapolation","publication_year":2025,"publication_date":"2025-04-07","ids":{"openalex":"https://openalex.org/W4409219811","doi":"https://doi.org/10.1007/s10589-025-00680-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-025-00680-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00680-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00680-1.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00680-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115593177","display_name":"Yongle Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongle Zhang","raw_affiliation_strings":["Department of Mathematics, Visual Computing and Virtual Reality Key Laboratory of Sichuan Province, Sichuan Normal University, Chengdu, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Visual Computing and Virtual Reality Key Laboratory of Sichuan Province, Sichuan Normal University, Chengdu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I63354593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065214298","display_name":"Ting Kei Pong","orcid":"https://orcid.org/0000-0001-5862-2986"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ting Kei Pong","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101715456","display_name":"Shiqi Xu","orcid":"https://orcid.org/0009-0006-0526-9086"},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiqi Xu","raw_affiliation_strings":["Department of Mathematics, Sichuan Normal University, Chengdu, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sichuan Normal University, Chengdu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I63354593"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5115593177"],"corresponding_institution_ids":["https://openalex.org/I63354593"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":2.4606,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.84021622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"91","issue":"3","first_page":"1185","last_page":"1225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9986000061035156,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976000189781189,"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/mathematics","display_name":"Mathematics","score":0.853827953338623},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.7163544297218323},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6001132726669312},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5613507628440857},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5189225673675537},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.46442973613739014},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.29832667112350464},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2629878520965576},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12308573722839355}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.853827953338623},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.7163544297218323},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6001132726669312},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5613507628440857},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5189225673675537},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.46442973613739014},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.29832667112350464},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2629878520965576},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12308573722839355}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-025-00680-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00680-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00680-1.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/114857","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/114857","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"Journal/Magazine Article"}],"best_oa_location":{"id":"doi:10.1007/s10589-025-00680-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00680-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00680-1.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2538488183","display_name":null,"funder_award_id":"11901414","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2927612421","display_name":null,"funder_award_id":"11871359","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4524171669","display_name":null,"funder_award_id":"PolyU153001/22p","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7033253288","display_name":null,"funder_award_id":"Grants","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7346218018","display_name":null,"funder_award_id":"11871","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8115647216","display_name":null,"funder_award_id":"1187135","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"},{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409219811.pdf","grobid_xml":"https://content.openalex.org/works/W4409219811.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W1855462127","https://openalex.org/W1967138577","https://openalex.org/W1977318272","https://openalex.org/W1988720110","https://openalex.org/W1991857131","https://openalex.org/W2004162424","https://openalex.org/W2004886822","https://openalex.org/W2015418199","https://openalex.org/W2019569173","https://openalex.org/W2021361347","https://openalex.org/W2022164193","https://openalex.org/W2027982384","https://openalex.org/W2030161963","https://openalex.org/W2033604629","https://openalex.org/W2045740595","https://openalex.org/W2051968500","https://openalex.org/W2067291657","https://openalex.org/W2067314231","https://openalex.org/W2075706482","https://openalex.org/W2089106993","https://openalex.org/W2110018596","https://openalex.org/W2119058682","https://openalex.org/W2124541940","https://openalex.org/W2127447444","https://openalex.org/W2129732816","https://openalex.org/W2142224912","https://openalex.org/W2167732364","https://openalex.org/W2170507371","https://openalex.org/W2265744594","https://openalex.org/W2498119267","https://openalex.org/W2576873436","https://openalex.org/W2591505158","https://openalex.org/W2962826994","https://openalex.org/W2963118312","https://openalex.org/W2963906098","https://openalex.org/W3100208521","https://openalex.org/W3113350677","https://openalex.org/W3190343043","https://openalex.org/W4249667877","https://openalex.org/W4319320693"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W4296478327","https://openalex.org/W1960072520","https://openalex.org/W2042397106","https://openalex.org/W4361730764","https://openalex.org/W2610571865","https://openalex.org/W2092346180","https://openalex.org/W2014601121","https://openalex.org/W2006631399","https://openalex.org/W3048095155"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"revisit":[2],"and":[3,41,124,140,148,156,222,256],"adapt":[4],"the":[5,32,89,108,121,125,146,154,198,213,220,223,227,237,263],"extended":[6,215],"sequential":[7],"quadratic":[8],"method":[9],"(ESQM)":[10],"in":[11],"Auslender":[12],"(J":[13],"Optim":[14,282],"Theory":[15],"Appl":[16],"156:183\u2013212,":[17],"2013)":[18],"for":[19,48,79],"solving":[20],"a":[21,42,55,104,116,136,171,180,251],"class":[22,50],"of":[23,34,37,51,57,120,135,201,212,219,226,240,254],"difference-of-convex":[24],"optimization":[25],"problems":[26],"whose":[27],"constraints":[28],"are":[29,111,128,159],"defined":[30],"as":[31],"intersection":[33],"level":[35],"sets":[36],"Lipschitz":[38],"differentiable":[39],"functions":[40,158],"simple":[43],"compact":[44],"convex":[45],"set.":[46],"Particularly,":[47],"this":[49],"problems,":[52],"we":[53,86,162,194,231],"develop":[54],"variant":[56],"ESQM,":[58,255],"called":[59],"ESQM":[60],"with":[61,183,262],"extrapolation":[62,77,109],"(":[63],"$$\\hbox":[64,93,241,267],"{ESQM}_{\\textrm{e}}$$":[65,94,242],"<mml:math":[66,95,186,243,269],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[67,96,187,244,270],"<mml:msub>":[68,97,245,271],"<mml:mtext>ESQM</mml:mtext>":[69,98,246],"<mml:mtext>e</mml:mtext>":[70,99,247],"</mml:msub>":[71,100,248,274],"</mml:math>":[72,101,192,249,275],"),":[73],"which":[74],"incorporates":[75],"Nesterov\u2019s":[76],"techniques":[78],"empirical":[80,238],"acceleration.":[81],"Under":[82],"standard":[83],"constraint":[84,149,157,228],"qualifications,":[85],"show":[87,163],"that":[88,164,211],"sequence":[90,123],"generated":[91],"by":[92,115,130,260],"clusters":[102],"at":[103],"critical":[105],"point":[106],"if":[107,170],"parameters":[110],"uniformly":[112],"bounded":[113],"above":[114],"certain":[117,172],"threshold.":[118],"Convergence":[119],"whole":[122],"convergence":[126,166],"rate":[127],"established":[129,169],"assuming":[131],"Kurdyka-\u0141ojasiewicz":[132],"(KL)":[133],"property":[134],"suitable":[137],"potential":[138],"function":[139,175,182,206,225],"imposing":[141],"additional":[142],"differentiability":[143],"assumptions":[144],"on":[145],"objective":[147,155,216,221],"functions.":[150],"In":[151],"addition,":[152],"when":[153],"all":[160],"convex,":[161],"linear":[165],"can":[167,207],"be":[168,179,208],"exact":[173,204],"penalty":[174,205],"is":[176],"known":[177],"to":[178,235],"KL":[181,199],"exponent":[184,200],"$$\\frac{1}{2}$$":[185],"<mml:mfrac>":[188],"<mml:mn>1</mml:mn>":[189],"<mml:mn>2</mml:mn>":[190],"</mml:mfrac>":[191],";":[193],"also":[195],"discuss":[196],"how":[197],"such":[202],"an":[203],"deduced":[209],"from":[210,276],"original":[214],"(i.e.,":[217],"sum":[218],"indicator":[224],"set).":[229],"Finally,":[230],"perform":[232],"numerical":[233],"experiments":[234],"demonstrate":[236],"acceleration":[239],"over":[250],"basic":[252],"version":[253],"illustrate":[257],"its":[258],"effectiveness":[259],"comparing":[261],"natural":[264],"competing":[265],"algorithm":[266],"{SCP}_{\\textrm{ls}}$$":[268],"<mml:mtext>SCP</mml:mtext>":[272],"<mml:mtext>ls</mml:mtext>":[273],"Yu":[277],"et":[278],"al.":[279],"(SIAM":[280],"J":[281],"31:2024\u20132054,":[283],"2021).":[284]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}