{"id":"https://openalex.org/W4296184728","doi":"https://doi.org/10.1007/s10957-022-02078-z","title":"New Predictor\u2013Corrector Algorithm for Symmetric Cone Horizontal Linear Complementarity Problems","display_name":"New Predictor\u2013Corrector Algorithm for Symmetric Cone Horizontal Linear Complementarity Problems","publication_year":2022,"publication_date":"2022-09-17","ids":{"openalex":"https://openalex.org/W4296184728","doi":"https://doi.org/10.1007/s10957-022-02078-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-022-02078-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-022-02078-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-022-02078-z.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory 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/s10957-022-02078-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008992501","display_name":"Zsolt Darvay","orcid":"https://orcid.org/0000-0003-1094-9837"},"institutions":[{"id":"https://openalex.org/I163245316","display_name":"Corvinus University of Budapest","ror":"https://ror.org/01vxfm326","country_code":"HU","type":"education","lineage":["https://openalex.org/I163245316"]},{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["HU","RO"],"is_corresponding":true,"raw_author_name":"Zsolt Darvay","raw_affiliation_strings":["Corvinus Center for Operations Research, Corvinus Institute for Advanced Studies, Corvinus University of Budapest, Budapest, Hungary","Faculty of Mathematics and Computer Science, Corvinus Institute for Advanced Studies, Babe\u015f-Bolyai University, Corvinus University of Budapest, Cluj-Napoca, Romania"],"raw_orcid":"https://orcid.org/0000-0003-1094-9837","affiliations":[{"raw_affiliation_string":"Corvinus Center for Operations Research, Corvinus Institute for Advanced Studies, Corvinus University of Budapest, Budapest, Hungary","institution_ids":["https://openalex.org/I163245316"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Corvinus Institute for Advanced Studies, Babe\u015f-Bolyai University, Corvinus University of Budapest, Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084569919","display_name":"Petra Ren\u00e1ta Rig\u00f3","orcid":"https://orcid.org/0000-0002-3867-0304"},"institutions":[{"id":"https://openalex.org/I163245316","display_name":"Corvinus University of Budapest","ror":"https://ror.org/01vxfm326","country_code":"HU","type":"education","lineage":["https://openalex.org/I163245316"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Petra Ren\u00e1ta Rig\u00f3","raw_affiliation_strings":["Corvinus Center for Operations Research, Corvinus Institute for Advanced Studies, Corvinus University of Budapest, Budapest, Hungary"],"raw_orcid":"https://orcid.org/0000-0002-3867-0304","affiliations":[{"raw_affiliation_string":"Corvinus Center for Operations Research, Corvinus Institute for Advanced Studies, Corvinus University of Budapest, Budapest, Hungary","institution_ids":["https://openalex.org/I163245316"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008992501"],"corresponding_institution_ids":["https://openalex.org/I163245316","https://openalex.org/I3125347698"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.6405,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63865752,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"202","issue":"1","first_page":"50","last_page":"75"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9883999824523926,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/predictor\u2013corrector-method","display_name":"Predictor\u2013corrector method","score":0.8283039331436157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8246803283691406},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.7519172430038452},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6165196895599365},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.5042935609817505},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.4862445890903473},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.4301655888557434},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.42741236090660095},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.41196033358573914},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3776545524597168},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2856859564781189},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22609490156173706}],"concepts":[{"id":"https://openalex.org/C157977623","wikidata":"https://www.wikidata.org/wiki/Q2650267","display_name":"Predictor\u2013corrector method","level":2,"score":0.8283039331436157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8246803283691406},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.7519172430038452},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6165196895599365},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.5042935609817505},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.4862445890903473},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.4301655888557434},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.42741236090660095},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.41196033358573914},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3776545524597168},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2856859564781189},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22609490156173706},{"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/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":3,"locations":[{"id":"doi:10.1007/s10957-022-02078-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-022-02078-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-022-02078-z.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:unipub.lib.uni-corvinus.hu:7713","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400280","display_name":"Corvinus Research Archive (Corvinus University of Budapest)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I163245316","host_organization_name":"Corvinus University of Budapest","host_organization_lineage":["https://openalex.org/I163245316"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:RePEc:spr:joptap:v:202:y:2024:i:1:d:10.1007_s10957-022-02078-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-022-02078-z","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"}],"best_oa_location":{"id":"doi:10.1007/s10957-022-02078-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-022-02078-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-022-02078-z.pdf","source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1549279031","display_name":null,"funder_award_id":"\u00daNKP-22-4","funder_id":"https://openalex.org/F4320335908","funder_display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap"},{"id":"https://openalex.org/G5398534391","display_name":null,"funder_award_id":"\u00daNKP-22-4","funder_id":"https://openalex.org/F4320328991","funder_display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium"}],"funders":[{"id":"https://openalex.org/F4320318030","display_name":"Budapesti Corvinus Egyetem","ror":"https://ror.org/01vxfm326"},{"id":"https://openalex.org/F4320328991","display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium","ror":"https://ror.org/02ey3ab96"},{"id":"https://openalex.org/F4320335908","display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4296184728.pdf","grobid_xml":"https://content.openalex.org/works/W4296184728.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W1509805685","https://openalex.org/W1518039036","https://openalex.org/W1519364999","https://openalex.org/W1546612351","https://openalex.org/W1570961610","https://openalex.org/W1574660661","https://openalex.org/W1977067945","https://openalex.org/W1996119919","https://openalex.org/W1996300679","https://openalex.org/W2006980285","https://openalex.org/W2015893008","https://openalex.org/W2035959039","https://openalex.org/W2042592476","https://openalex.org/W2069798394","https://openalex.org/W2070416691","https://openalex.org/W2071001262","https://openalex.org/W2077274614","https://openalex.org/W2093249882","https://openalex.org/W2117065890","https://openalex.org/W2130336971","https://openalex.org/W2167785353","https://openalex.org/W2168253253","https://openalex.org/W2201446621","https://openalex.org/W2223535329","https://openalex.org/W2275234501","https://openalex.org/W2326043233","https://openalex.org/W2519284634","https://openalex.org/W2561720919","https://openalex.org/W2584078894","https://openalex.org/W2611147814","https://openalex.org/W2724786773","https://openalex.org/W2807481378","https://openalex.org/W2888989731","https://openalex.org/W2897075737","https://openalex.org/W2963833760","https://openalex.org/W3012036848","https://openalex.org/W3037197978","https://openalex.org/W3088407386"],"related_works":["https://openalex.org/W2353923837","https://openalex.org/W2038257044","https://openalex.org/W1992200282","https://openalex.org/W1983620101","https://openalex.org/W2376125925","https://openalex.org/W2382148394","https://openalex.org/W4200017867","https://openalex.org/W1659710326","https://openalex.org/W1999067864","https://openalex.org/W2017573175"],"abstract_inverted_index":{"Abstract":[0],"We":[1,26,53,100],"propose":[2],"a":[3,22,47,127],"new":[4,84],"predictor\u2013corrector":[5,29,104],"interior-point":[6,105,116],"algorithm":[7,30,92,106,141],"for":[8,118,136],"solving":[9,119],"Cartesian":[10,48],"symmetric":[11,51],"cone":[12],"horizontal":[13,42],"linear":[14,43],"complementarity":[15,44],"problems,":[16],"which":[17,137],"is":[18,142],"not":[19],"based":[20],"on":[21,46],"usual":[23],"barrier":[24],"function.":[25],"generalize":[27],"the":[28,55,71,74,77,83,90,103,108,113,131,138],"introduced":[31,139],"in":[32],"Darvay":[33,62],"et":[34],"al.":[35],"(SIAM":[36],"J":[37],"Optim":[38,65],"30:2628\u20132658,":[39],"2020)":[40],"to":[41,81,130],"problems":[45],"product":[49],"of":[50,73,122],"cones.":[52],"apply":[54],"algebraically":[56],"equivalent":[57],"transformation":[58],"technique":[59],"proposed":[60,91],"by":[61],"(Adv":[63],"Model":[64],"5:51\u201392,":[66],"2003),":[67],"and":[68,76,96,133],"we":[69,125],"use":[70],"difference":[72],"identity":[75],"square":[78],"root":[79],"function":[80],"determine":[82],"search":[85],"directions.":[86],"In":[87],"each":[88],"iteration,":[89],"performs":[93],"one":[94,97],"predictor":[95],"corrector":[98],"step.":[99],"prove":[101],"that":[102],"has":[107],"same":[109],"complexity":[110],"bound":[111],"as":[112],"best":[114],"known":[115],"methods":[117],"these":[120],"types":[121],"problems.":[123],"Furthermore,":[124],"provide":[126],"condition":[128],"related":[129],"proximity":[132],"update":[134],"parameters":[135],"predictor-corrector":[140],"well":[143],"defined.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}