{"id":"https://openalex.org/W2985828698","doi":"https://doi.org/10.3233/jifs-190475","title":"A modified nonmonotone QP-free method without penalty function or filter","display_name":"A modified nonmonotone QP-free method without penalty function or filter","publication_year":2019,"publication_date":"2019-10-30","ids":{"openalex":"https://openalex.org/W2985828698","doi":"https://doi.org/10.3233/jifs-190475","mag":"2985828698"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-190475","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-190475","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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/A5017046908","display_name":"Ke Su","orcid":"https://orcid.org/0000-0003-3039-5106"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Su Ke","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Key Laboratory of Machine Learning and Computational Intelligence, Baoding, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Key Laboratory of Machine Learning and Computational Intelligence, Baoding, P.R. China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028440978","display_name":"Ren Lele","orcid":null},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ren Lele","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Key Laboratory of Machine Learning and Computational Intelligence, Baoding, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Key Laboratory of Machine Learning and Computational Intelligence, Baoding, P.R. China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101064732","display_name":"Ren Xiaohui","orcid":null},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ren Xiaohui","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Key Laboratory of Machine Learning and Computational Intelligence, Baoding, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Key Laboratory of Machine Learning and Computational Intelligence, Baoding, P.R. China","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028440978"],"corresponding_institution_ids":["https://openalex.org/I43337087"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19612533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"3","first_page":"3331","last_page":"3342"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9983999729156494,"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":0.9887999892234802,"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/mathematics","display_name":"Mathematics","score":0.6830646991729736},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.6555489897727966},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.6233426332473755},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.5898619294166565},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5436481833457947},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.5312913060188293},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.528007984161377},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5053706765174866},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4800589978694916},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4573511481285095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23217767477035522}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6830646991729736},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.6555489897727966},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.6233426332473755},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.5898619294166565},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5436481833457947},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.5312913060188293},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.528007984161377},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5053706765174866},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4800589978694916},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4573511481285095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23217767477035522},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-190475","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-190475","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W117082138","https://openalex.org/W1533744522","https://openalex.org/W1748199557","https://openalex.org/W1970177007","https://openalex.org/W1985698727","https://openalex.org/W1988641273","https://openalex.org/W1994635453","https://openalex.org/W2015893830","https://openalex.org/W2043430160","https://openalex.org/W2048799772","https://openalex.org/W2052044201","https://openalex.org/W2058930821","https://openalex.org/W2062557110","https://openalex.org/W2070433501","https://openalex.org/W2088765246","https://openalex.org/W2130632243","https://openalex.org/W2139136459","https://openalex.org/W2147666917","https://openalex.org/W2332674837","https://openalex.org/W2755446089","https://openalex.org/W2760662288","https://openalex.org/W4240022917"],"related_works":["https://openalex.org/W2015060724","https://openalex.org/W2058578573","https://openalex.org/W2012871340","https://openalex.org/W3046535663","https://openalex.org/W4313189992","https://openalex.org/W3035320230","https://openalex.org/W4317581747","https://openalex.org/W4287694146","https://openalex.org/W3105202832","https://openalex.org/W2017965889"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,40],"modified":[4,89],"nonmonotone":[5,90],"QP-free":[6],"method":[7],"without":[8],"penalty":[9],"function":[10,58],"or":[11,23],"filter":[12],"is":[13,20,85,103],"proposed":[14],"for":[15],"inequality":[16],"constrained":[17],"optimization.":[18],"There":[19],"only":[21],"two":[22],"three":[24],"systems":[25],"of":[26,56,82,100,112],"linear":[27,76,91],"equations":[28],"with":[29],"the":[30,44,48,64,70,74,79,88,97,101,110,113],"same":[31],"coefficients":[32],"are":[33,107],"solved":[34],"at":[35,109],"each":[36],"iteration.":[37],"We":[38],"obtain":[39,69],"fundamental":[41],"direction":[42,66,72],"and":[43,51,60,68],"corresponding":[45],"multiplier":[46,61],"by":[47,73,87],"first":[49],"equation,":[50],"then":[52],"make":[53],"full":[54],"use":[55],"Lagrangian":[57],"information":[59],"to":[62],"bend":[63],"search":[65,71,92],"appropriately":[67],"second":[75],"equation.":[77],"Moreover,":[78],"acceptable":[80],"criterion":[81],"trial":[83],"points":[84],"relaxed":[86],"technique.":[93],"Under":[94],"mild":[95],"conditions,":[96],"global":[98],"convergence":[99],"algorithm":[102],"proved.":[104],"Numerical":[105],"results":[106],"given":[108],"end":[111],"paper.":[114]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
