{"id":"https://openalex.org/W2059066757","doi":"https://doi.org/10.1007/s10957-010-9766-2","title":"Globally Convergent Cutting Plane Method for\u00a0Nonconvex Nonsmooth Minimization","display_name":"Globally Convergent Cutting Plane Method for\u00a0Nonconvex Nonsmooth Minimization","publication_year":2010,"publication_date":"2010-11-11","ids":{"openalex":"https://openalex.org/W2059066757","doi":"https://doi.org/10.1007/s10957-010-9766-2","mag":"2059066757"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-010-9766-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-010-9766-2","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/A5062770206","display_name":"Napsu Karmitsa","orcid":"https://orcid.org/0000-0002-8747-4836"},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Napsu Karmitsa","raw_affiliation_strings":["Department of Mathematics, University of Turku, 20014, Turku, Finland","Department of Mathematics , University of Turku , Turku, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Turku, 20014, Turku, Finland","institution_ids":["https://openalex.org/I155660961"]},{"raw_affiliation_string":"Department of Mathematics , University of Turku , Turku, Finland","institution_ids":["https://openalex.org/I155660961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084509360","display_name":"Mario Tanaka Filho","orcid":"https://orcid.org/0000-0003-3934-7290"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Mario Tanaka\u00a0Filho","raw_affiliation_strings":["Mechanical Engineering Program, COPPE\u2014Federal University of Rio de Janeiro, Caixa Postal 68503, 21945 970, Rio de Janeiro, Brazil","Mechanical Engineering Program - COPPE -, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Program, COPPE\u2014Federal University of Rio de Janeiro, Caixa Postal 68503, 21945 970, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]},{"raw_affiliation_string":"Mechanical Engineering Program - COPPE -, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023972565","display_name":"Jos\u00e9 Herskovits","orcid":"https://orcid.org/0000-0002-6927-9113"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Herskovits","raw_affiliation_strings":["Mechanical Engineering Program, COPPE\u2014Federal University of Rio de Janeiro, Caixa Postal 68503, 21945 970, Rio de Janeiro, Brazil","Mechanical Engineering Program - COPPE -, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Program, COPPE\u2014Federal University of Rio de Janeiro, Caixa Postal 68503, 21945 970, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]},{"raw_affiliation_string":"Mechanical Engineering Program - COPPE -, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062770206"],"corresponding_institution_ids":["https://openalex.org/I155660961"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8796,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.85310095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"148","issue":"3","first_page":"528","last_page":"549"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9983999729156494,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9983999729156494,"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/epigraph","display_name":"Epigraph","score":0.9097899198532104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7847191691398621},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.6237128973007202},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6126460433006287},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.611960768699646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5855254530906677},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.584343671798706},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5425655245780945},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5090165138244629},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.47387099266052246},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.45940911769866943},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4326569736003876},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41062450408935547},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41049593687057495},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31681889295578003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1295979619026184},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12803798913955688},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.07925310730934143}],"concepts":[{"id":"https://openalex.org/C17192189","wikidata":"https://www.wikidata.org/wiki/Q1347059","display_name":"Epigraph","level":2,"score":0.9097899198532104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7847191691398621},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.6237128973007202},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6126460433006287},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.611960768699646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5855254530906677},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.584343671798706},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5425655245780945},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5090165138244629},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.47387099266052246},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.45940911769866943},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4326569736003876},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41062450408935547},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41049593687057495},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31681889295578003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1295979619026184},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12803798913955688},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.07925310730934143},{"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/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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/s10957-010-9766-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-010-9766-2","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:148:y:2011:i:3:d:10.1007_s10957-010-9766-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-010-9766-2","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":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W125730541","https://openalex.org/W581935970","https://openalex.org/W1551360398","https://openalex.org/W1553702074","https://openalex.org/W1982511487","https://openalex.org/W1994635453","https://openalex.org/W2041928877","https://openalex.org/W2043842131","https://openalex.org/W2069808690","https://openalex.org/W2079688774","https://openalex.org/W2130632243","https://openalex.org/W2158617645","https://openalex.org/W4212912562","https://openalex.org/W4243140258","https://openalex.org/W4247489173"],"related_works":["https://openalex.org/W4242119255","https://openalex.org/W4306405061","https://openalex.org/W3102093686","https://openalex.org/W2005753861","https://openalex.org/W2342537177","https://openalex.org/W2160116788","https://openalex.org/W3011113780","https://openalex.org/W1980908866","https://openalex.org/W2042979635","https://openalex.org/W2081017423"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-30T09:15:22.047038","created_date":"2025-10-10T00:00:00"}
