{"id":"https://openalex.org/W1989286220","doi":"https://doi.org/10.1080/00207160210947","title":"A Robust Algorithm for Solving Nonlinear Programming Problems","display_name":"A Robust Algorithm for Solving Nonlinear Programming Problems","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1989286220","doi":"https://doi.org/10.1080/00207160210947","mag":"1989286220"},"language":"en","primary_location":{"id":"doi:10.1080/00207160210947","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160210947","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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":"International Journal of Computer 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/A5103683114","display_name":"Yan Li","orcid":"https://orcid.org/0009-0006-3191-0244"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4391768271","display_name":"State Key Laboratory of Software Engineering","ror":"https://ror.org/01z3jn402","country_code":null,"type":"facility","lineage":["https://openalex.org/I37461747","https://openalex.org/I4391768271"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Li","raw_affiliation_strings":["Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072","institution_ids":["https://openalex.org/I37461747","https://openalex.org/I4391768271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108535007","display_name":"Lishan Kang","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4391768271","display_name":"State Key Laboratory of Software Engineering","ror":"https://ror.org/01z3jn402","country_code":null,"type":"facility","lineage":["https://openalex.org/I37461747","https://openalex.org/I4391768271"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lishan Kang","raw_affiliation_strings":["Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072; Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072 E-mail: kang@whu.edu.cn","Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072; Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072 E-mail: kang@whu.edu.cn","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072","institution_ids":["https://openalex.org/I37461747","https://openalex.org/I4391768271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058202066","display_name":"Hugo de Garis","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107784","display_name":"Starlab (United States)","ror":"https://ror.org/01fwrew07","country_code":"US","type":"company","lineage":["https://openalex.org/I4210107784"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hugo De Garis","raw_affiliation_strings":["Starlab , Brain Builder Group , Brussels, Belgium E-mail: degaris@starlab.net"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Starlab , Brain Builder Group , Brussels, Belgium E-mail: degaris@starlab.net","institution_ids":["https://openalex.org/I4210107784"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012888780","display_name":"Zhuo Kang","orcid":"https://orcid.org/0000-0003-3608-4069"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4391768271","display_name":"State Key Laboratory of Software Engineering","ror":"https://ror.org/01z3jn402","country_code":null,"type":"facility","lineage":["https://openalex.org/I37461747","https://openalex.org/I4391768271"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhuo Kang","raw_affiliation_strings":["Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072","institution_ids":["https://openalex.org/I37461747","https://openalex.org/I4391768271"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036044616","display_name":"Pu\u2010Kun Liu","orcid":"https://orcid.org/0000-0001-8750-7899"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4391768271","display_name":"State Key Laboratory of Software Engineering","ror":"https://ror.org/01z3jn402","country_code":null,"type":"facility","lineage":["https://openalex.org/I37461747","https://openalex.org/I4391768271"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pu Liu","raw_affiliation_strings":["Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computation Center, State Key Laboratory of Software Engineering , Wuhan University , 430072","institution_ids":["https://openalex.org/I37461747","https://openalex.org/I4391768271"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9585,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91447897,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"79","issue":"5","first_page":"523","last_page":"536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9962999820709229,"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/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.7023729681968689},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6075869798660278},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5710757374763489},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5356324315071106},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5169553160667419},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5156065821647644},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5012607574462891},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4895397126674652},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4527873396873474},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4343246817588806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41932329535484314},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4187588691711426},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24416321516036987}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7023729681968689},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6075869798660278},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5710757374763489},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5356324315071106},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5169553160667419},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5156065821647644},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5012607574462891},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4895397126674652},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4527873396873474},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4343246817588806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41932329535484314},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4187588691711426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24416321516036987},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207160210947","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160210947","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.80.5600","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.80.5600","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.cinvestav.mx/~constraint/papers/li02.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1561792925","https://openalex.org/W1608274859","https://openalex.org/W1748199557","https://openalex.org/W1926445896","https://openalex.org/W2025500642","https://openalex.org/W2039577332","https://openalex.org/W2053135339","https://openalex.org/W2066404341","https://openalex.org/W2081948801","https://openalex.org/W2119867793","https://openalex.org/W2293380322","https://openalex.org/W3159742743","https://openalex.org/W4240022917"],"related_works":["https://openalex.org/W2896134808","https://openalex.org/W3172436493","https://openalex.org/W4287164812","https://openalex.org/W2957492749","https://openalex.org/W1887135636","https://openalex.org/W2386063599","https://openalex.org/W1975884855","https://openalex.org/W3213150849","https://openalex.org/W4285605394","https://openalex.org/W2025894073"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"a":[5,40,91],"new":[6,109],"algorithm":[7,20,84,110],"for":[8,26],"solving":[9,27],"nonlinear":[10,87],"programming":[11,88],"(NLP)":[12],"problems.":[13,29],"It":[14],"is":[15,111,126],"an":[16,50],"extension":[17],"of":[18,82,102],"Guo's":[19],"[1]":[21],"which":[22,72,105],"possesses":[23],"enhanced":[24],"capabilities":[25,31,81],"NLP":[28,63,66,70],"These":[30,76],"include:":[32],"a)":[33],"extending":[34],"the":[35,57,80,83,108,132],"variable":[36],"subspace,":[37],"b)":[38],"adding":[39,56],"search":[41],"process":[42],"over":[43],"subspaces":[44],"and":[45,54,68,94,116],"normalized":[46],"constraints,":[47],"c)":[48],"using":[49],"adaptive":[51],"penalty":[52],"function,":[53],"d)":[55],"ability":[58],"to":[59,85],"deal":[60],"with":[61],"integer":[62],"problems,":[64,67],"0-1":[65],"mixed-integer":[69],"problems":[71,89],"have":[73],"equality":[74],"constraints.":[75],"four":[77],"enhancements":[78],"increase":[79],"solve":[86],"in":[90,131],"more":[92,114],"robust":[93,115],"universal":[95,117],"way.":[96],"This":[97],"paper":[98],"will":[99],"present":[100],"results":[101],"numerical":[103],"experiments":[104],"show":[106],"that":[107],"not":[112],"only":[113],"than":[118,128],"its":[119,123],"competitors,":[120],"but":[121],"also":[122],"performance":[124],"level":[125],"higher":[127],"any":[129],"others":[130],"literature.":[133]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}