{"id":"https://openalex.org/W2053569953","doi":"https://doi.org/10.1007/s10957-010-9782-2","title":"On the Solution of Generalized Multiplicative Extremum Problems","display_name":"On the Solution of Generalized Multiplicative Extremum Problems","publication_year":2011,"publication_date":"2011-01-05","ids":{"openalex":"https://openalex.org/W2053569953","doi":"https://doi.org/10.1007/s10957-010-9782-2","mag":"2053569953"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-010-9782-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-010-9782-2","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","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/A5020612522","display_name":"Alireza Mohebi Ashtiani","orcid":"https://orcid.org/0000-0003-2579-3759"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Alireza M. Ashtiani","raw_affiliation_strings":["Faculty of Electrical and Computer Engineering, State University of Campinas, Av. Albert Einstein, 400, 13083-852, Campinas, SP, Brazil","State University of Campinas"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Computer Engineering, State University of Campinas, Av. Albert Einstein, 400, 13083-852, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"State University of Campinas","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024003933","display_name":"Paulo Ferreira","orcid":"https://orcid.org/0000-0003-0942-6289"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Paulo A. V. Ferreira","raw_affiliation_strings":["Faculty of Electrical and Computer Engineering, State University of Campinas, Av. Albert Einstein, 400, 13083-852, Campinas, SP, Brazil","State University of Campinas"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Computer Engineering, State University of Campinas, Av. Albert Einstein, 400, 13083-852, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"State University of Campinas","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020612522"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4599,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.6399568,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"149","issue":"2","first_page":"411","last_page":"419"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9980000257492065,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/mathematics","display_name":"Mathematics","score":0.8703304529190063},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7121312618255615},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6028228998184204},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5813704133033752},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5758659243583679},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5088818073272705},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49143970012664795},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.4755668044090271},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.45808708667755127},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4227936863899231},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4193931818008423},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41791048645973206},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4160158634185791},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.41186976432800293},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1958162486553192},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12833285331726074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09456819295883179}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8703304529190063},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7121312618255615},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6028228998184204},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5813704133033752},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5758659243583679},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5088818073272705},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49143970012664795},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.4755668044090271},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.45808708667755127},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4227936863899231},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4193931818008423},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41791048645973206},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4160158634185791},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.41186976432800293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1958162486553192},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12833285331726074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09456819295883179},{"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/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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-010-9782-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-010-9782-2","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:149:y:2011:i:2:d:10.1007_s10957-010-9782-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-010-9782-2","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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1481747975","https://openalex.org/W1500929526","https://openalex.org/W1518078339","https://openalex.org/W1972204922","https://openalex.org/W1975788803","https://openalex.org/W1977310087","https://openalex.org/W1997231674","https://openalex.org/W2000156923","https://openalex.org/W2037298140","https://openalex.org/W2077306527","https://openalex.org/W2296319761","https://openalex.org/W2301746362","https://openalex.org/W2798766386","https://openalex.org/W4206576091","https://openalex.org/W4242766606","https://openalex.org/W4250589301","https://openalex.org/W4255667420","https://openalex.org/W4300987062"],"related_works":["https://openalex.org/W1983267880","https://openalex.org/W2022619808","https://openalex.org/W2115079434","https://openalex.org/W2410228078","https://openalex.org/W3165281631","https://openalex.org/W930615311","https://openalex.org/W1977310087","https://openalex.org/W2057305555","https://openalex.org/W2041712909","https://openalex.org/W2036801487"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
