{"id":"https://openalex.org/W2137137155","doi":"https://doi.org/10.1155/2013/571927","title":"A Two-Parametric Class of Merit Functions for the Second-Order Cone Complementarity Problem","display_name":"A Two-Parametric Class of Merit Functions for the Second-Order Cone Complementarity Problem","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2137137155","doi":"https://doi.org/10.1155/2013/571927","mag":"2137137155"},"language":"en","primary_location":{"id":"doi:10.1155/2013/571927","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/571927","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/571927.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/571927.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034052535","display_name":"Xiaoni Chi","orcid":"https://orcid.org/0000-0003-2737-5163"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoni Chi","raw_affiliation_strings":["School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China","School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102237103","display_name":"Zhongping Wan","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"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongping Wan","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101727068","display_name":"Zijun Hao","orcid":"https://orcid.org/0000-0003-0381-925X"},"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/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zijun Hao","raw_affiliation_strings":["School of Information and Calculating Science, North University for Ethnics, Yinchuan 750021, China","School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Calculating Science, North University for Ethnics, Yinchuan 750021, China","institution_ids":["https://openalex.org/I3019309368"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102237103"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.3508,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88251861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9969000220298767,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.942799985408783,"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/figure-of-merit","display_name":"Figure of merit","score":0.6003437042236328},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5515196919441223},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5324813723564148},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5008833408355713},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4564194679260254},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.43889158964157104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42643237113952637},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4110106825828552},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3304809033870697},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18186193704605103},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17933553457260132},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1520749032497406}],"concepts":[{"id":"https://openalex.org/C130277099","wikidata":"https://www.wikidata.org/wiki/Q3676605","display_name":"Figure of merit","level":2,"score":0.6003437042236328},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5515196919441223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5324813723564148},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5008833408355713},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4564194679260254},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.43889158964157104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42643237113952637},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4110106825828552},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3304809033870697},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18186193704605103},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17933553457260132},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1520749032497406},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/571927","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/571927","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/571927.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394808023","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394808023","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"pmh:oai:RePEc:hin:jnljam:571927","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/571927.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:57c081f0e8d4403681ea029ff8062242","is_oa":true,"landing_page_url":"https://doaj.org/article/57c081f0e8d4403681ea029ff8062242","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/571927","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/571927","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/571927.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2082826544","display_name":null,"funder_award_id":"Postdoctoral","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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/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/G3682561198","display_name":null,"funder_award_id":"71171150","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4773509490","display_name":null,"funder_award_id":"2012M511651","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5017484851","display_name":null,"funder_award_id":"Q20122709","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5469106741","display_name":null,"funder_award_id":"2012M","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"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"}],"funders":[{"id":"https://openalex.org/F4320313620","display_name":"Hubei Provincial Department of Education","ror":"https://ror.org/05yaa9j15"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2137137155.pdf","grobid_xml":"https://content.openalex.org/works/W2137137155.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1543439990","https://openalex.org/W1560867458","https://openalex.org/W1819938083","https://openalex.org/W1965717960","https://openalex.org/W1973281249","https://openalex.org/W1977418715","https://openalex.org/W1981027849","https://openalex.org/W1987843722","https://openalex.org/W1996038042","https://openalex.org/W1996300679","https://openalex.org/W2000359198","https://openalex.org/W2004747456","https://openalex.org/W2009923109","https://openalex.org/W2017356678","https://openalex.org/W2031624244","https://openalex.org/W2036566088","https://openalex.org/W2043430160","https://openalex.org/W2052557309","https://openalex.org/W2055390480","https://openalex.org/W2105235982","https://openalex.org/W2109118284","https://openalex.org/W2164294841","https://openalex.org/W2432191522","https://openalex.org/W2469729643"],"related_works":["https://openalex.org/W2055545425","https://openalex.org/W2494161373","https://openalex.org/W2463866346","https://openalex.org/W2521519254","https://openalex.org/W3139833644","https://openalex.org/W3123110765","https://openalex.org/W3151072301","https://openalex.org/W2356272394","https://openalex.org/W214846656","https://openalex.org/W2168727758"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,57,79],"two-parametric":[3],"class":[4,19,26,42,106],"of":[5,20,27,43,98,107],"merit":[6,28,44,100,108],"functions":[7,45],"for":[8,91],"the":[9,17,24,30,66,83,93,96,99,104],"second-order":[10],"cone":[11],"complementarity":[12,21],"problem":[13],"(SOCCP)":[14],"based":[15],"on":[16],"one-parametric":[18],"functions.":[22,109],"By":[23],"new":[25,41,105],"functions,":[29],"SOCCP":[31],"can":[32],"be":[33],"reformulated":[34],"as":[35],"an":[36],"unconstrained":[37],"minimization":[38],"problem.":[39],"The":[40],"is":[46],"shown":[47],"to":[48],"possess":[49],"some":[50],"favorable":[51],"properties.":[52],"In":[53],"particular,":[54],"it":[55,73],"provides":[56],"global":[58],"error":[59],"bound":[60],"if<mml:math":[61],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[62,64,70],"id=\"M1\"><mml:mrow><mml:mi>F</mml:mi></mml:mrow></mml:math>and<mml:math":[63],"id=\"M2\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>have":[65],"joint":[67],"uniform":[68],"Cartesian<mml:math":[69],"id=\"M3\"><mml:mrow><mml:mi>P</mml:mi></mml:mrow></mml:math>-property.":[71],"And":[72],"has":[74],"bounded":[75],"level":[76],"sets":[77],"under":[78],"weaker":[80],"condition":[81],"than":[82],"most":[84],"available":[85],"conditions.":[86],"Some":[87],"preliminary":[88],"numerical":[89],"results":[90],"solving":[92],"SOCCPs":[94],"show":[95],"effectiveness":[97],"function":[101],"method":[102],"via":[103]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}