{"id":"https://openalex.org/W2054090890","doi":"https://doi.org/10.1007/bf01585556","title":"Complexity estimates of some cutting plane methods based on the analytic barrier","display_name":"Complexity estimates of some cutting plane methods based on the analytic barrier","publication_year":1995,"publication_date":"1995-07-01","ids":{"openalex":"https://openalex.org/W2054090890","doi":"https://doi.org/10.1007/bf01585556","mag":"2054090890"},"language":"en","primary_location":{"id":"doi:10.1007/bf01585556","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01585556","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/A5113999541","display_name":"Yu. Nesterov","orcid":null},"institutions":[{"id":"https://openalex.org/I2802368776","display_name":"Central Economics and Mathematics Institute","ror":"https://ror.org/02n937p61","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2802368776","https://openalex.org/I4210120228"]},{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE","RU"],"is_corresponding":true,"raw_author_name":"Yu. Nesterov","raw_affiliation_strings":["CORE, Universit\u00e9 Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium","Central Economical and Mathematical Institute, 32 Krasikova street, 117481, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CORE, Universit\u00e9 Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Central Economical and Mathematical Institute, 32 Krasikova street, 117481, Moscow, Russia","institution_ids":["https://openalex.org/I2802368776"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113999541"],"corresponding_institution_ids":["https://openalex.org/I2802368776","https://openalex.org/I95674353"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":8.3694,"has_fulltext":false,"cited_by_count":98,"citation_normalized_percentile":{"value":0.98238661,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"69","issue":"1-3","first_page":"149","last_page":"176"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9959999918937683,"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/mathematics","display_name":"Mathematics","score":0.843654990196228},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.700541615486145},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6568921208381653},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6451718807220459},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5650917887687683},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.5626792311668396},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5622861385345459},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5027475357055664},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4987807273864746},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4884306490421295},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4706306457519531},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4654676914215088},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.4385489523410797},{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.42817598581314087},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39867210388183594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26014119386672974},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10671111941337585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09125456213951111}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.843654990196228},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.700541615486145},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6568921208381653},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6451718807220459},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5650917887687683},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.5626792311668396},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5622861385345459},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5027475357055664},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4987807273864746},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4884306490421295},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4706306457519531},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4654676914215088},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.4385489523410797},{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.42817598581314087},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39867210388183594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26014119386672974},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10671111941337585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09125456213951111},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01585556","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01585556","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"},{"id":"pmh:oai:RePEc:cor:louvrp:1167","is_oa":false,"landing_page_url":"http://doi.org/10.1007/BF01585556","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":"","raw_type":"preprint"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W171180563","https://openalex.org/W1505731132","https://openalex.org/W1632601927","https://openalex.org/W1973117121","https://openalex.org/W1980869082","https://openalex.org/W1993982015","https://openalex.org/W2033957915","https://openalex.org/W2055582487","https://openalex.org/W2059499240","https://openalex.org/W2064948689","https://openalex.org/W2070426678","https://openalex.org/W2527962024","https://openalex.org/W2611147814","https://openalex.org/W3021318926","https://openalex.org/W4301435544"],"related_works":["https://openalex.org/W2000071592","https://openalex.org/W1586473494","https://openalex.org/W1660676450","https://openalex.org/W2382181079","https://openalex.org/W4221162014","https://openalex.org/W2169345436","https://openalex.org/W2053964895","https://openalex.org/W2952728270","https://openalex.org/W4309210394","https://openalex.org/W2130502925"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
