{"id":"https://openalex.org/W1977067945","doi":"https://doi.org/10.1080/10556788.2012.670858","title":"Interior-point methods for CartesianP*(\u03ba)-linear complementarity problems over symmetric cones based on the eligible kernel functions","display_name":"Interior-point methods for CartesianP*(\u03ba)-linear complementarity problems over symmetric cones based on the eligible kernel functions","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W1977067945","doi":"https://doi.org/10.1080/10556788.2012.670858","mag":"1977067945"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2012.670858","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization Methods and Software","issn_l":"1026-7670","issn":["1055-6788","1026-7670","1029-4937"],"is_oa":false,"is_in_doaj":false,"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,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5033947647","display_name":"Goran Le\u0161aja","orcid":"https://orcid.org/0000-0003-3840-4599"},"institutions":[{"id":"https://openalex.org/I39815113","display_name":"Georgia Southern University","ror":"https://ror.org/04agmb972","country_code":"US","type":"education","lineage":["https://openalex.org/I1289702989","https://openalex.org/I39815113"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. Lesaja","raw_affiliation_string":"Department of Mathematical Sciences , Georgia Southern University , Statesboro , GA , 30460-8093 , USA","raw_affiliation_strings":["Department of Mathematical Sciences , Georgia Southern University , Statesboro , GA , 30460-8093 , USA"]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057339936","display_name":"G. Q. Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I141962983","display_name":"Shanghai University of Engineering Science","ror":"https://ror.org/0557b9y08","country_code":"CN","type":"education","lineage":["https://openalex.org/I141962983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"G. Q. Wang","raw_affiliation_string":"College of Fundamental Studies , Shanghai University of Engineering Science , Shanghai , 201620 , China","raw_affiliation_strings":["College of Fundamental Studies , Shanghai University of Engineering Science , Shanghai , 201620 , China"]},{"author_position":"last","author":{"id":"https://openalex.org/A5067866868","display_name":"Danhua Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"D. T. Zhu","raw_affiliation_string":"Department of Mathematics , Shanghai Normal University , Shanghai , 200234 , China","raw_affiliation_strings":["Department of Mathematics , Shanghai Normal University , Shanghai , 200234 , China"]}],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033947647"],"corresponding_institution_ids":["https://openalex.org/I39815113"],"apc_list":null,"apc_paid":null,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":23,"cited_by_percentile_year":{"min":92,"max":93},"biblio":{"volume":"27","issue":"4-5","first_page":"827","last_page":"843"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Numerical Optimization Techniques","score":0.9996,"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":"Numerical Optimization Techniques","score":0.9996,"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/T10792","display_name":"Matrix Algorithms and Iterative Methods","score":0.9976,"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/T11416","display_name":"Numerical Integration Methods for Differential Equations","score":0.971,"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"}}],"keywords":[{"keyword":"symmetric cones","score":0.5665},{"keyword":"interior-point","score":0.25}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6194065},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.59142554},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.58366925},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.56330734},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.56182086},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.53868985},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5244922},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4524797},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.44389302},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.43613017},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42352858},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.41334602},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27694198},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20337498},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.1571083},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10679397},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.083035946},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08155769},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2012.670858","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization Methods and Software","issn_l":"1026-7670","issn":["1055-6788","1026-7670","1029-4937"],"is_oa":false,"is_in_doaj":false,"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,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"referenced_works_count":33,"referenced_works":["https://openalex.org/W82689443","https://openalex.org/W1536070618","https://openalex.org/W1560108784","https://openalex.org/W1734295813","https://openalex.org/W1996119919","https://openalex.org/W2006980285","https://openalex.org/W2009345006","https://openalex.org/W2012110988","https://openalex.org/W2021664750","https://openalex.org/W2022003008","https://openalex.org/W2025402112","https://openalex.org/W2035484941","https://openalex.org/W2035735077","https://openalex.org/W2042592476","https://openalex.org/W2052557309","https://openalex.org/W2065615220","https://openalex.org/W2065952631","https://openalex.org/W2065986800","https://openalex.org/W2075379600","https://openalex.org/W2077274614","https://openalex.org/W2080700992","https://openalex.org/W2086055807","https://openalex.org/W2091044203","https://openalex.org/W2093249882","https://openalex.org/W2096247314","https://openalex.org/W2112332902","https://openalex.org/W2127035138","https://openalex.org/W2128202699","https://openalex.org/W2145583730","https://openalex.org/W2157918496","https://openalex.org/W2275234501","https://openalex.org/W2911789798","https://openalex.org/W4231259595"],"related_works":["https://openalex.org/W2276648117","https://openalex.org/W2084792246","https://openalex.org/W819098253","https://openalex.org/W2350903564","https://openalex.org/W1548220668","https://openalex.org/W1988776931","https://openalex.org/W2224859476","https://openalex.org/W2765841216","https://openalex.org/W2378187344","https://openalex.org/W2353923837"],"ngrams_url":"https://api.openalex.org/works/W1977067945/ngrams","abstract_inverted_index":{"An":[0],"interior-point":[1],"method":[2],"(IPM)":[3],"for":[4,77,104,119,124,134],"Cartesian":[5,24],"P":[6,25],"*(\u03ba)-":[7,26],"linear":[8],"complementarity":[9],"problems":[10],"over":[11],"symmetric":[12],"cones":[13],"(SCLCP)":[14],"is":[15,47,132],"analysed":[16],"and":[17,40,93],"the":[18,33,36,50,89,94,105,115,120,125,128],"complexity":[19,102],"results":[20,103],"are":[21,54,85],"presented.":[22],"The":[23,45],"SCLCPs":[27],"have":[28,68],"been":[29,70],"recently":[30,69],"introduced":[31],"as":[32],"generalization":[34],"of":[35,60],"more":[37,41],"commonly":[38],"known":[39],"widely":[42],"used":[43,72,86],"monotone-SCLCPs.":[44],"IPM":[46],"based":[48],"on":[49],"barrier":[51,82],"functions":[52,62,84],"that":[53],"defined":[55],"by":[56],"a":[57],"large":[58],"class":[59],"univariate":[61],"called":[63],"eligible":[64,110],"kernel":[65,111],"functions,":[66,112],"which":[67,97],"successfully":[71],"to":[73,99],"design":[74],"new":[75],"IPMs":[76],"various":[78],"optimization":[79],"problems.":[80],"Eligible":[81],"(kernel)":[83],"in":[87],"calculating":[88],"Nesterov\u2013Todd":[90],"search":[91],"directions":[92],"default":[95],"step-size":[96],"lead":[98],"very":[100],"good":[101],"method.":[106],"For":[107],"some":[108],"specific":[109],"we":[113],"match":[114],"best-known":[116],"iteration":[117,130],"bound":[118,131],"long-step":[121],"methods":[122,127],"while":[123],"short-step":[126],"best":[129],"matched":[133],"all":[135],"cases.":[136]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1977067945","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2024-02-29T19:21:09.651477","created_date":"2016-06-24"}