{"id":"https://openalex.org/W2029650406","doi":"https://doi.org/10.1007/bf01582887","title":"Algorithms for generalized fractional programming","display_name":"Algorithms for generalized fractional programming","publication_year":1991,"publication_date":"1991-05-01","ids":{"openalex":"https://openalex.org/W2029650406","doi":"https://doi.org/10.1007/bf01582887","mag":"2029650406"},"language":"en","primary_location":{"id":"doi:10.1007/bf01582887","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01582887","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/A5022248421","display_name":"Jean-Pierre Crouzeix","orcid":"https://orcid.org/0000-0001-5874-457X"},"institutions":[{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Pierre Crouzeix","raw_affiliation_strings":["D\u00e9partement de math\u00e9matiques appliqu\u00e9es, Universit\u00e9 de Clermont II, France","D\u00e9partement de math\u00e9matiques appliqu\u00e9es, Universit\u00e9 de Clermont II, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques appliqu\u00e9es, Universit\u00e9 de Clermont II, France","institution_ids":["https://openalex.org/I198244214"]},{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques appliqu\u00e9es, Universit\u00e9 de Clermont II, France#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110184720","display_name":"Jacques A. Ferland","orcid":null},"institutions":[{"id":"https://openalex.org/I4210111842","display_name":"Computer Research Institute of Montr\u00e9al","ror":"https://ror.org/0279d5115","country_code":"CA","type":"nonprofit","lineage":["https://openalex.org/I4210111842"]},{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jacques A. Ferland","raw_affiliation_strings":["D\u00e9partement d'informatique et de recherche op\u00e9rationnelle, Universit\u00e9 de Montr\u00e9al, Canada","D\u00e9partement d\u2019informatique et de recherche op\u00e9rationnelle, Universit\u00e9 de Montr\u00e9al, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'informatique et de recherche op\u00e9rationnelle, Universit\u00e9 de Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I4210111842","https://openalex.org/I70931966"]},{"raw_affiliation_string":"D\u00e9partement d\u2019informatique et de recherche op\u00e9rationnelle, Universit\u00e9 de Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I4210111842","https://openalex.org/I70931966"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.733,"has_fulltext":false,"cited_by_count":285,"citation_normalized_percentile":{"value":0.73623425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"52","issue":"1-3","first_page":"191","last_page":"207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9994000196456909,"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":0.9994000196456909,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9799000024795532,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9009000062942505,"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/fractional-programming","display_name":"Fractional programming","score":0.8409099578857422},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7518265247344971},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.6525487303733826},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6136062741279602},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5575213432312012},{"id":"https://openalex.org/keywords/linear-fractional-programming","display_name":"Linear-fractional programming","score":0.533638596534729},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5100603699684143},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49333587288856506},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4670010805130005},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4597414433956146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3978191614151001},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.3567878007888794},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3505214750766754},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07510396838188171}],"concepts":[{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.8409099578857422},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7518265247344971},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.6525487303733826},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6136062741279602},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5575213432312012},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.533638596534729},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5100603699684143},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49333587288856506},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4670010805130005},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4597414433956146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3978191614151001},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3567878007888794},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3505214750766754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07510396838188171},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01582887","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01582887","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":26,"referenced_works":["https://openalex.org/W103185312","https://openalex.org/W1497154413","https://openalex.org/W1964192645","https://openalex.org/W1967956032","https://openalex.org/W1968712019","https://openalex.org/W1979134182","https://openalex.org/W1986274272","https://openalex.org/W1996729064","https://openalex.org/W1999218360","https://openalex.org/W2009117714","https://openalex.org/W2015249958","https://openalex.org/W2018802681","https://openalex.org/W2025918664","https://openalex.org/W2031219349","https://openalex.org/W2061735438","https://openalex.org/W2063543218","https://openalex.org/W2065846434","https://openalex.org/W2068024109","https://openalex.org/W2075855943","https://openalex.org/W2075978622","https://openalex.org/W2089329137","https://openalex.org/W2120463209","https://openalex.org/W2127489714","https://openalex.org/W4237860500","https://openalex.org/W4254629716","https://openalex.org/W6641290938"],"related_works":["https://openalex.org/W2412080945","https://openalex.org/W3034456946","https://openalex.org/W135265113","https://openalex.org/W129790892","https://openalex.org/W2531103003","https://openalex.org/W2115006068","https://openalex.org/W4242236117","https://openalex.org/W2970299800","https://openalex.org/W1829567907","https://openalex.org/W2085222377"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":37},{"year":2019,"cited_by_count":29},{"year":2018,"cited_by_count":21},{"year":2017,"cited_by_count":24},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":23},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}