乐胖代购免代理版

{"id":"https://openalex.org/W2155630828","doi":"https://doi.org/10.1080/10556780500407725","title":"The central path visits all the vertices of the Klee\u2013Minty cube","display_name":"The central path visits all the vertices of the Klee\u2013Minty cube","publication_year":2006,"publication_date":"2006-05-03","ids":{"openalex":"https://openalex.org/W2155630828","doi":"https://doi.org/10.1080/10556780500407725","mag":"2155630828"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780500407725","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.cas.mcmaster.ca/~deza/oms2006.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004734694","display_name":"Antoine Deza","orcid":"https://orcid.org/0000-0002-2392-4607"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"funder","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Antoine Deza","raw_affiliation_strings":["Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082456665","display_name":"Eissa Nematollahi","orcid":null},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"funder","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Eissa Nematollahi","raw_affiliation_strings":["Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044356249","display_name":"M. Reza Peyghami","orcid":"https://orcid.org/0000-0003-0360-040X"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"funder","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Reza Peyghami","raw_affiliation_strings":["Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006828941","display_name":"Tam\u00e1s Terlaky","orcid":"https://orcid.org/0000-0003-1953-1971"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"funder","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Tam\u00e1s Terlaky","raw_affiliation_strings":["Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada","institution_ids":["https://openalex.org/I98251732"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006828941"],"corresponding_institution_ids":["https://openalex.org/I98251732"],"apc_list":null,"apc_paid":null,"fwci":2.821,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":20,"citation_normalized_percentile":{"value":0.842853,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":88},"biblio":{"volume":"21","issue":"5","first_page":"851","last_page":"865"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9999,"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":0.9999,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9986,"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":0.9951,"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/cube","display_name":"Cube (algebra)","score":0.81244177},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.43672737},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.43415484}],"concepts":[{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.81244177},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.72953033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.66819745},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.536158},{"id":"https://openalex.org/C138211643","wikidata":"https://www.wikidata.org/wiki/Q675211","display_name":"Bent molecular geometry","level":2,"score":0.48164287},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.43672737},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.43415484},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.413674},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36907166},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.2450183},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17027456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14143631},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.059830487},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780500407725","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.3467","pdf_url":"http://www.cas.mcmaster.ca/~deza/oms2006.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.3467","pdf_url":"http://www.cas.mcmaster.ca/~deza/oms2006.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":15,"referenced_works":["https://openalex.org/W1493426390","https://openalex.org/W1509805685","https://openalex.org/W1518039036","https://openalex.org/W1571051474","https://openalex.org/W1573409602","https://openalex.org/W1986414193","https://openalex.org/W2024510935","https://openalex.org/W2033040247","https://openalex.org/W2056369327","https://openalex.org/W21055737","https://openalex.org/W2322316662","https://openalex.org/W2611147814","https://openalex.org/W2922104599","https://openalex.org/W4233058511","https://openalex.org/W91201220"],"related_works":["https://openalex.org/W3092318790","https://openalex.org/W2999872277","https://openalex.org/W2080504324","https://openalex.org/W2060393438","https://openalex.org/W2009482999","https://openalex.org/W2008242913","https://openalex.org/W1976773834","https://openalex.org/W1973869677","https://openalex.org/W1964199832","https://openalex.org/W1546253506"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"Klee\u2013Minty":[2,65,94],"cube":[3,95,109],"is":[4,36],"a":[5,121],"well-known":[6],"worst-case":[7],"example":[8],"for":[9,69,124,135,149],"which":[10],"the":[11,21,25,30,54,61,64,74,86,90,93,97,101,114,125,130,136,143,150],"simplex":[12,102],"method":[13,103],"takes":[14,77],"an":[15,48,70],"exponential":[16,49],"number":[17,50,118,147],"of":[18,29,51,63,88,92],"iterations":[19],"as":[20,82,100],"algorithm":[22],"visits":[23],"all":[24,89],"2":[26,78],"n":[27,79],"vertices":[28,91],"n-dimensional":[31],"cube.":[32,66],"While":[33],"such":[34],"behaviour":[35],"excluded":[37],"by":[38,46,113,129,142],"polynomial":[39],"interior":[40],"point":[41],"methods,":[42],"we":[43],"show":[44],"that,":[45],"adding":[47],"redundant":[52],"inequalities,":[53],"central":[55,75],"path":[56,76],"can":[57],"be":[58],"bent":[59],"along":[60],"edges":[62],"More":[67],"precisely,":[68],"arbitrarily":[71],"small":[72],"\u03b4,":[73],"\u22122":[80],"turns":[81],"it":[83],"passes":[84],"through":[85],"\u03b4-neighbourhood":[87],"in":[96],"same":[98],"order":[99],"does.":[104],"Keywords:":[105],"Linear":[106],"programmingCentral":[107],"pathKlee\u2013Minty":[108],"Acknowledgements":[110],"Research":[111,132],"supported":[112],"NSERC":[115,144],"Discovery":[116,145],"grant":[117,123,146],"48923":[119],"and":[120,138,141],"MITACS":[122],"last":[126,139],"three":[127],"authors,":[128],"Canada":[131],"Chair":[133],"program":[134],"first":[137,151],"authors":[140],"311969":[148],"author.":[152]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2155630828","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-02-18T18:27:36.843525","created_date":"2016-06-24"}