{"id":"https://openalex.org/W2303009999","doi":"https://doi.org/10.1080/10556788.2015.1124432","title":"An exchange method with refined subproblems for convex semi-infinite programming problems","display_name":"An exchange method with refined subproblems for convex semi-infinite programming problems","publication_year":2016,"publication_date":"2016-01-08","ids":{"openalex":"https://openalex.org/W2303009999","doi":"https://doi.org/10.1080/10556788.2015.1124432","mag":"2303009999"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2015.1124432","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2015.1124432","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/A5053418588","display_name":"Takayuki Okuno","orcid":"https://orcid.org/0000-0003-2178-1494"},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takayuki Okuno","raw_affiliation_strings":["Department of Management Science, Faculty of Engineering Division I, Tokyo University of Science, Tokyo 162-8601, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Science, Faculty of Engineering Division I, Tokyo University of Science, Tokyo 162-8601, Japan","institution_ids":["https://openalex.org/I161296585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102356480","display_name":"Shunsuke Hayashi","orcid":null},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shunsuke Hayashi","raw_affiliation_strings":["Department of Human- Social Information Sciences, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan","Department of Human-Social Information Sciences, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Human- Social Information Sciences, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"Department of Human-Social Information Sciences, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan","institution_ids":["https://openalex.org/I201537933"]}]},{"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"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nobuo Yamashita","raw_affiliation_strings":["Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035937225","display_name":"Kensuke Gomoto","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"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kensuke Gomoto","raw_affiliation_strings":["Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053418588"],"corresponding_institution_ids":["https://openalex.org/I161296585"],"apc_list":null,"apc_paid":null,"fwci":0.8505,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.7022864,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"31","issue":"6","first_page":"1305","last_page":"1324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9990000128746033,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/sequence","display_name":"Sequence (biology)","score":0.6965115666389465},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.683708667755127},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6124248504638672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5129715800285339},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47471845149993896},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4579656422138214},{"id":"https://openalex.org/keywords/semi-infinite-programming","display_name":"Semi-infinite programming","score":0.4577866792678833},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.45275944471359253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3965306580066681}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6965115666389465},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.683708667755127},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6124248504638672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5129715800285339},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47471845149993896},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4579656422138214},{"id":"https://openalex.org/C2780394207","wikidata":"https://www.wikidata.org/wiki/Q7449304","display_name":"Semi-infinite programming","level":3,"score":0.4577866792678833},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.45275944471359253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3965306580066681},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556788.2015.1124432","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2015.1124432","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1690059318","display_name":"Development of algorithms for solving conic complementarity problems and semi-infinite programming problems, and their applications to transportation planning problems","funder_award_id":"26330022","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8309612261","display_name":"Development of fast algorithms for semi-infinite programs with conic constraints and application to practical problems","funder_award_id":"15K15943","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W171676536","https://openalex.org/W177890044","https://openalex.org/W580782046","https://openalex.org/W1519897490","https://openalex.org/W1537335979","https://openalex.org/W1543439990","https://openalex.org/W1965699206","https://openalex.org/W1983611387","https://openalex.org/W1995861654","https://openalex.org/W2003570633","https://openalex.org/W2006509781","https://openalex.org/W2020633601","https://openalex.org/W2030703267","https://openalex.org/W2032807064","https://openalex.org/W2032951014","https://openalex.org/W2049355922","https://openalex.org/W2055428607","https://openalex.org/W2055731670","https://openalex.org/W2063386779","https://openalex.org/W2075887074","https://openalex.org/W2101508998","https://openalex.org/W2127304839","https://openalex.org/W2129353652","https://openalex.org/W2296319761","https://openalex.org/W4232193086","https://openalex.org/W4246616525","https://openalex.org/W4250589301","https://openalex.org/W4301791716"],"related_works":["https://openalex.org/W4249017925","https://openalex.org/W2582753012","https://openalex.org/W2064987637","https://openalex.org/W4300101497","https://openalex.org/W2112284452","https://openalex.org/W2379797514","https://openalex.org/W2391763874","https://openalex.org/W2159790760","https://openalex.org/W2086067311","https://openalex.org/W2051458578"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,114],"propose":[4],"a":[5,21,47],"new":[6,50],"exchange":[7,18,44],"method":[8,19,45],"for":[9],"solving":[10],"convex":[11],"semi-infinite":[12],"programming":[13],"problems":[14,98],"(SIPs).":[15],"The":[16],"traditional":[17,55,78],"solves":[20,46],"sequence":[22,48],"of":[23,49,109,118],"finitely":[24,31,100],"relaxed":[25],"subproblems,":[26,51],"that":[27],"is,":[28],"subproblems":[29,57,69,83],"with":[30,99],"many":[32,101],"constraints":[33],"chosen":[34],"from":[35],"the":[36,40,54,61,67,71,77,105,110,116,119],"original":[37,72],"constraints.":[38,102],"On":[39],"other":[41],"hand,":[42],"our":[43],"in":[52],"which":[53],"finite":[56],"are":[58,84],"refined":[59,68],"by":[60,92,121],"quadratic":[62],"approximation.":[63],"Under":[64],"mild":[65],"assumptions,":[66],"approximate":[70],"SIP":[73],"more":[74],"precisely":[75],"than":[76],"subproblems.":[79],"Moreover,":[80],"although":[81],"those":[82],"still":[85],"SIPs,":[86],"they":[87],"can":[88],"be":[89],"solved":[90],"efficiently":[91],"reformulating":[93],"them":[94],"as":[95],"certain":[96],"optimization":[97],"We":[103],"establish":[104],"global":[106],"convergence":[107],"property":[108],"proposed":[111],"algorithm.":[112],"Finally,":[113],"examine":[115],"efficiency":[117],"algorithm":[120],"some":[122],"numerical":[123],"experiments.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
