{"id":"https://openalex.org/W2055390480","doi":"https://doi.org/10.1137/s1052623403421516","title":"A Combined Smoothing and Regularization Method for Monotone Second-Order Cone Complementarity Problems","display_name":"A Combined Smoothing and Regularization Method for Monotone Second-Order Cone Complementarity Problems","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2055390480","doi":"https://doi.org/10.1137/s1052623403421516","mag":"2055390480"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623403421516","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623403421516","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5102356480","display_name":"Shunsuke Hayashi","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210129581","display_name":"Kyoto University of Education","ror":"https://ror.org/03zhhr656","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210129581"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shunsuke Hayashi","raw_affiliation_strings":["Kyoto univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto univ","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210129581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109115371","display_name":"Nobuo Yamashita","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210129581","display_name":"Kyoto University of Education","ror":"https://ror.org/03zhhr656","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210129581"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nobuo Yamashita","raw_affiliation_strings":["Kyoto univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto univ","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210129581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058813836","display_name":"Masao Fukushima","orcid":"https://orcid.org/0000-0002-4372-6376"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210129581","display_name":"Kyoto University of Education","ror":"https://ror.org/03zhhr656","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210129581"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masao Fukushima","raw_affiliation_strings":["Kyoto univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto univ","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210129581"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.8998,"has_fulltext":false,"cited_by_count":217,"citation_normalized_percentile":{"value":0.99226006,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"15","issue":"2","first_page":"593","last_page":"615"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9979000091552734,"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":0.9918000102043152,"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":0.8423290252685547},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.7742556929588318},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6493358612060547},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.5924543142318726},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5435764789581299},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4953960180282593},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4834902882575989},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.47907787561416626},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4638426899909973},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.45902472734451294},{"id":"https://openalex.org/keywords/nonlinear-complementarity-problem","display_name":"Nonlinear complementarity problem","score":0.4242573082447052},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3334019184112549},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23197948932647705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10839587450027466},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06907594203948975}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8423290252685547},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.7742556929588318},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6493358612060547},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.5924543142318726},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5435764789581299},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4953960180282593},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4834902882575989},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.47907787561416626},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4638426899909973},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.45902472734451294},{"id":"https://openalex.org/C2778646529","wikidata":"https://www.wikidata.org/wiki/Q16948724","display_name":"Nonlinear complementarity problem","level":4,"score":0.4242573082447052},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3334019184112549},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23197948932647705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10839587450027466},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06907594203948975},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1052623403421516","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623403421516","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.8.6441","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.6441","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.amp.i.kyoto-u.ac.jp/tecrep/ps_file/2003/2003-002.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W68625828","https://openalex.org/W1524224706","https://openalex.org/W1540131774","https://openalex.org/W1551360398","https://openalex.org/W1560867458","https://openalex.org/W1598004004","https://openalex.org/W1819938083","https://openalex.org/W1967759264","https://openalex.org/W1973281249","https://openalex.org/W1981027849","https://openalex.org/W1992688650","https://openalex.org/W1997671037","https://openalex.org/W2000151369","https://openalex.org/W2004747456","https://openalex.org/W2005148680","https://openalex.org/W2018695900","https://openalex.org/W2023092664","https://openalex.org/W2039003070","https://openalex.org/W2040628347","https://openalex.org/W2044382581","https://openalex.org/W2067547116","https://openalex.org/W2070890393","https://openalex.org/W2105235982","https://openalex.org/W2113734366","https://openalex.org/W2125812141","https://openalex.org/W2572594781","https://openalex.org/W3169260125","https://openalex.org/W4240246213","https://openalex.org/W4252641252"],"related_works":["https://openalex.org/W2774961640","https://openalex.org/W1999953813","https://openalex.org/W1912937193","https://openalex.org/W2091810828","https://openalex.org/W2157124849","https://openalex.org/W2183245494","https://openalex.org/W2371357209","https://openalex.org/W2376754743","https://openalex.org/W2384374169","https://openalex.org/W2022470868"],"abstract_inverted_index":{"The":[0],"second-order":[1,20],"cone":[2,21],"complementarity":[3,15],"problem":[4,16,23],"(SOCCP)":[5],"is":[6,82],"a":[7,75],"wide":[8],"class":[9],"of":[10,57,111,119,124],"problems":[11],"containing":[12],"the":[13,19,55,58,65,112,117,120],"nonlinear":[14],"(NCP)":[17],"and":[18,28,41,61,77,86,99],"programming":[22],"(SOCP).":[24],"Recently,":[25],"Fukushima,":[26],"Luo,":[27],"Tseng":[29],"[SIAM":[30],"J.":[31],"Optim.,":[32],"12":[33],"(2001),":[34],"pp.":[35],"436--460]":[36],"extended":[37],"some":[38],"merit":[39],"functions":[40,44,60],"their":[42],"smoothing":[43,59,85],"for":[45,54,64,89],"NCP":[46],"to":[47,67],"SOCCP.":[48,92],"Moreover,":[49],"they":[50],"derived":[51],"computable":[52],"formulas":[53],"Jacobians":[56,66],"gave":[62],"conditions":[63],"be":[68],"invertible.":[69],"In":[70,93],"this":[71],"paper,":[72],"we":[73,95,115],"propose":[74],"globally":[76],"quadratically":[78],"convergent":[79],"algorithm,":[80],"which":[81,102],"based":[83],"on":[84],"regularization":[87],"methods,":[88],"solving":[90],"monotone":[91],"particular,":[94],"study":[96],"strong":[97],"semismoothness":[98],"Jacobian":[100],"consistency,":[101],"play":[103],"an":[104],"important":[105],"role":[106],"in":[107],"establishing":[108],"quadratic":[109],"convergence":[110],"algorithm.":[113],"Furthermore,":[114],"examine":[116],"effectiveness":[118],"algorithm":[121],"by":[122],"means":[123],"numerical":[125],"experiments.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":14}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
