{"id":"https://openalex.org/W4391972594","doi":"https://doi.org/10.1007/s10589-024-00561-z","title":"An infeasible interior-point arc-search method with Nesterov\u2019s restarting strategy for linear programming problems","display_name":"An infeasible interior-point arc-search method with Nesterov\u2019s restarting strategy for linear programming problems","publication_year":2024,"publication_date":"2024-02-20","ids":{"openalex":"https://openalex.org/W4391972594","doi":"https://doi.org/10.1007/s10589-024-00561-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-024-00561-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-024-00561-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00561-z.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization 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/s10589-024-00561-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076065839","display_name":"Einosuke Iida","orcid":"https://orcid.org/0009-0002-3504-4065"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Einosuke Iida","raw_affiliation_strings":["Department of Mathematical and Computing Science, Tokyo Institute of Technology, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0009-0002-3504-4065","affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Science, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085474915","display_name":"Makoto Yamashita","orcid":"https://orcid.org/0000-0002-8409-036X"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Makoto Yamashita","raw_affiliation_strings":["Department of Mathematical and Computing Science, Tokyo Institute of Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Science, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076065839"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":3.5287,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.9197816,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"88","issue":"2","first_page":"643","last_page":"676"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":1.0,"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":1.0,"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":0.9919000267982483,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9915000200271606,"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":[{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.9221775531768799},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7389571070671082},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.5793917775154114},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5361153483390808},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5307072997093201},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.4740978181362152},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.47070953249931335},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46675562858581543},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.455870121717453},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4405108690261841},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.43494921922683716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21058061718940735},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13473087549209595}],"concepts":[{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.9221775531768799},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7389571070671082},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.5793917775154114},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5361153483390808},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5307072997093201},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.4740978181362152},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.47070953249931335},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46675562858581543},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.455870121717453},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4405108690261841},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.43494921922683716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21058061718940735},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13473087549209595},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-024-00561-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-024-00561-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00561-z.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:88:y:2024:i:2:d:10.1007_s10589-024-00561-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-024-00561-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/s10589-024-00561-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-024-00561-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-024-00561-z.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.8100000023841858,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G2455555075","display_name":null,"funder_award_id":"21K11767","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":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4391972594.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1191021814","https://openalex.org/W1518039036","https://openalex.org/W1533868172","https://openalex.org/W1981315194","https://openalex.org/W2049219350","https://openalex.org/W2069159962","https://openalex.org/W2076680677","https://openalex.org/W2079589506","https://openalex.org/W2085548605","https://openalex.org/W2086397439","https://openalex.org/W2086867325","https://openalex.org/W2090084096","https://openalex.org/W2104414266","https://openalex.org/W2149454052","https://openalex.org/W2165452678","https://openalex.org/W2259408100","https://openalex.org/W2291100075","https://openalex.org/W2480935067","https://openalex.org/W2518523798","https://openalex.org/W2773596707","https://openalex.org/W2919731206","https://openalex.org/W2920774045","https://openalex.org/W2976995245","https://openalex.org/W3045501478","https://openalex.org/W3099770231","https://openalex.org/W3100349759","https://openalex.org/W3161585374","https://openalex.org/W4200377106","https://openalex.org/W4241366062","https://openalex.org/W6600135713","https://openalex.org/W6912601217"],"related_works":["https://openalex.org/W2965106131","https://openalex.org/W2094757704","https://openalex.org/W1970997620","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W2610104823","https://openalex.org/W2074889170","https://openalex.org/W2092044038","https://openalex.org/W2114808974","https://openalex.org/W2144582354"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"arc-search":[2,51],"interior-point":[3,9,52,111,137],"method":[4,10,62,67,89,112],"is":[5,59,98],"a":[6,60,69,76,99],"type":[7],"of":[8,27,37,78,108,128],"that":[11,86,96,121],"approximates":[12],"the":[13,25,35,40,65,81,87,106,109,122,126,131,141],"central":[14],"path":[15],"by":[16],"an":[17,92],"ellipsoidal":[18],"arc,":[19],"and":[20,39,83,95,130],"it":[21,97],"can":[22],"often":[23],"reduce":[24,34],"number":[26,36,127],"iterations.":[28],"In":[29],"this":[30],"work,":[31],"to":[32,63,91,113,135,140],"further":[33],"iterations":[38,79,129],"computation":[41],"time":[42,133],"for":[43],"solving":[44],"linear":[45],"programming":[46],"problems,":[47],"we":[48,84],"propose":[49],"two":[50],"methods":[53,138],"using":[54],"Nesterov\u2019s":[55],"restarting":[56],"strategy":[57],"which":[58],"well-known":[61],"accelerate":[64],"gradient":[66],"with":[68],"momentum":[70,142],"term.":[71,143],"The":[72,102,117],"first":[73],"one":[74,104,124],"generates":[75],"sequence":[77],"in":[80],"neighborhood,":[82],"prove":[85],"proposed":[88],"converges":[90],"optimal":[93],"solution":[94],"polynomial-time":[100],"method.":[101],"second":[103,123],"incorporates":[105],"concept":[107],"Mehrotra-type":[110],"improve":[114],"numerical":[115,118],"performance.":[116],"experiments":[119],"demonstrate":[120],"reduced":[125],"computational":[132],"compared":[134],"existing":[136],"due":[139]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}