{"id":"https://openalex.org/W104989081","doi":"https://doi.org/10.1023/a:1008791528195","title":"Evaluating Lipschitz Constants for Functions Given by Algorithms","display_name":"Evaluating Lipschitz Constants for Functions Given by Algorithms","publication_year":2000,"publication_date":"2000-09-01","ids":{"openalex":"https://openalex.org/W104989081","doi":"https://doi.org/10.1023/a:1008791528195","mag":"104989081"},"language":"en","primary_location":{"id":"doi:10.1023/a:1008791528195","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008791528195","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization 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/A5044662486","display_name":"Jo\u00e3o Batista S. de Oliveira","orcid":"https://orcid.org/0000-0002-2003-2128"},"institutions":[{"id":"https://openalex.org/I45643870","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica do Rio Grande do Sul","ror":"https://ror.org/025vmq686","country_code":"BR","type":"education","lineage":["https://openalex.org/I45643870"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Jo\u00e3o Batista Oliveira","raw_affiliation_strings":["Faculdade de Inform\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio Grande do Sul, 90619-900, Porto Alegre, Brazil","Faculdade de Inform\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio Grande do Sul, 90619-900 Porto Alegre, Brazil. oliveira@kriti.inf.pucrs.br#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculdade de Inform\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio Grande do Sul, 90619-900, Porto Alegre, Brazil","institution_ids":["https://openalex.org/I45643870"]},{"raw_affiliation_string":"Faculdade de Inform\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio Grande do Sul, 90619-900 Porto Alegre, Brazil. oliveira@kriti.inf.pucrs.br#TAB#","institution_ids":["https://openalex.org/I45643870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044662486"],"corresponding_institution_ids":["https://openalex.org/I45643870"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.01517644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"3","first_page":"215","last_page":"229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9907000064849854,"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/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.883156418800354},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.8130846619606018},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7157153487205505},{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.6984632015228271},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.613812267780304},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5725405216217041},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5720421075820923},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5203213691711426},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43041151762008667},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39954233169555664},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39318978786468506},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3309544026851654},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3284926414489746},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26093053817749023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2304389476776123},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1376831829547882},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10347229242324829},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08803629875183105}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.883156418800354},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.8130846619606018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7157153487205505},{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.6984632015228271},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.613812267780304},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5725405216217041},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5720421075820923},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5203213691711426},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43041151762008667},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39954233169555664},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39318978786468506},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3309544026851654},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3284926414489746},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26093053817749023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2304389476776123},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1376831829547882},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10347229242324829},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08803629875183105},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1008791528195","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008791528195","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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":11,"referenced_works":["https://openalex.org/W98575958","https://openalex.org/W1580809199","https://openalex.org/W1976316721","https://openalex.org/W1997762249","https://openalex.org/W2007844788","https://openalex.org/W2035667607","https://openalex.org/W2060924166","https://openalex.org/W2079115388","https://openalex.org/W3185484028","https://openalex.org/W4206215385","https://openalex.org/W6996556739"],"related_works":["https://openalex.org/W2000071592","https://openalex.org/W1660676450","https://openalex.org/W1586473494","https://openalex.org/W2382181079","https://openalex.org/W2125955092","https://openalex.org/W3008339103","https://openalex.org/W2119550093","https://openalex.org/W2074726530","https://openalex.org/W582971654","https://openalex.org/W2071707387"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}