{"id":"https://openalex.org/W2084621616","doi":"https://doi.org/10.1007/bf02591903","title":"An application of homotopy to solving linear programs","display_name":"An application of homotopy to solving linear programs","publication_year":1983,"publication_date":"1983-10-01","ids":{"openalex":"https://openalex.org/W2084621616","doi":"https://doi.org/10.1007/bf02591903","mag":"2084621616"},"language":"en","primary_location":{"id":"doi:10.1007/bf02591903","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02591903","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5110126000","display_name":"C. B. Garcia","orcid":null},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. B. Garcia","raw_affiliation_strings":["Graduate School of Business, University of Chicago, IL, USA","Graduate School of Business, University of Chicago, USA","Graduate School of Business, University of Chicago , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Business, University of Chicago, IL, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"Graduate School of Business, University of Chicago, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"Graduate School of Business, University of Chicago , USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056476770","display_name":"F. J. Gould","orcid":null},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. J. Gould","raw_affiliation_strings":["Graduate School of Business, University of Chicago, IL, USA","Graduate School of Business, University of Chicago, USA","Graduate School of Business, University of Chicago , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Business, University of Chicago, IL, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"Graduate School of Business, University of Chicago, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"Graduate School of Business, University of Chicago , USA","institution_ids":["https://openalex.org/I40347166"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.2875447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"27","issue":"3","first_page":"263","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987999796867371,"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":0.9763000011444092,"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/orthant","display_name":"Orthant","score":0.9741148352622986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.887150764465332},{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.6698770523071289},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.6478835344314575},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.6337144374847412},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.604822039604187},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5313839316368103},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.49459144473075867},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4866510033607483},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.45571067929267883},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38202527165412903},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3586283326148987},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14526861906051636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09675341844558716}],"concepts":[{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.9741148352622986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.887150764465332},{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.6698770523071289},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6478835344314575},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.6337144374847412},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.604822039604187},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5313839316368103},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.49459144473075867},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4866510033607483},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.45571067929267883},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38202527165412903},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3586283326148987},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14526861906051636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09675341844558716},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02591903","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02591903","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1817360657","https://openalex.org/W2028887049","https://openalex.org/W2058037878","https://openalex.org/W2064299112","https://openalex.org/W2085756238","https://openalex.org/W2127470768","https://openalex.org/W2152122625","https://openalex.org/W2242227345","https://openalex.org/W2294259342","https://openalex.org/W4301216918"],"related_works":["https://openalex.org/W4205455909","https://openalex.org/W2362256999","https://openalex.org/W2965106131","https://openalex.org/W2114808974","https://openalex.org/W2094757704","https://openalex.org/W2007245702","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W2610104823","https://openalex.org/W1970997620"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}