{"id":"https://openalex.org/W1552026666","doi":"https://doi.org/10.1023/a:1022512411995","title":"New Interval Analysis Support Functions Using Gradient Information in a Global Minimization Algorithm","display_name":"New Interval Analysis Support Functions Using Gradient Information in a Global Minimization Algorithm","publication_year":2003,"publication_date":"2003-03-28","ids":{"openalex":"https://openalex.org/W1552026666","doi":"https://doi.org/10.1023/a:1022512411995","mag":"1552026666"},"language":"en","primary_location":{"id":"doi:10.1023/a:1022512411995","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1022512411995","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5056739213","display_name":"L. G. Casado","orcid":"https://orcid.org/0000-0001-8459-4982"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L.G. Casado","raw_affiliation_strings":["Computer Architecture & Electronics Dpt., University of Almer\u00eda, Cta. Sacramento SN, 04120 Almer\u00eda, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Architecture & Electronics Dpt., University of Almer\u00eda, Cta. Sacramento SN, 04120 Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012911421","display_name":"Jos\u00e9 A. Mart\u00ednez","orcid":"https://orcid.org/0000-0002-7827-1818"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J.A. Mart\u00cdnez","raw_affiliation_strings":["Computer Architecture & Electronics Dpt., University of Almer\u00eda, Cta. Sacramento SN, 04120 Almer\u00eda, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Architecture & Electronics Dpt., University of Almer\u00eda, Cta. Sacramento SN, 04120 Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065759704","display_name":"I. Garc\u00eda","orcid":"https://orcid.org/0000-0002-1138-2118"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"I. Garc\u00cda","raw_affiliation_strings":["Computer Architecture & Electronics Dpt., University of Almer\u00eda, Cta. Sacramento SN, 04120 Almer\u00eda, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Architecture & Electronics Dpt., University of Almer\u00eda, Cta. Sacramento SN, 04120 Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085417391","display_name":"Yaroslav D. Sergeyev","orcid":"https://orcid.org/0000-0002-1429-069X"},"institutions":[{"id":"https://openalex.org/I45204951","display_name":"University of Calabria","ror":"https://ror.org/02rc97e94","country_code":"IT","type":"education","lineage":["https://openalex.org/I45204951"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ya.D. Sergeyev","raw_affiliation_strings":["ISI-CNR c/o DEIS, Universit\u00e1 della Calabria, 87036, Rende (CS), Italy","University of Nizhni Novgorod, Nizhni Novgorod, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISI-CNR c/o DEIS, Universit\u00e1 della Calabria, 87036, Rende (CS), Italy","institution_ids":["https://openalex.org/I45204951"]},{"raw_affiliation_string":"University of Nizhni Novgorod, Nizhni Novgorod, Russia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":2.912,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.90493728,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"4","first_page":"345","last_page":"362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/bounding-overwatch","display_name":"Bounding overwatch","score":0.8141746520996094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7184882760047913},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.6734599471092224},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.6682320833206177},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6177335381507874},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5803074240684509},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.5225843191146851},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.5172979831695557},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.48083528876304626},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4676503539085388},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4658397436141968},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4459399878978729},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4391229450702667},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2099153697490692},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13656744360923767},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09277337789535522},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.0870179533958435},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.07659202814102173}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.8141746520996094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7184882760047913},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.6734599471092224},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.6682320833206177},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6177335381507874},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5803074240684509},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.5225843191146851},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.5172979831695557},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.48083528876304626},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4676503539085388},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4658397436141968},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4459399878978729},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4391229450702667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2099153697490692},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13656744360923767},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09277337789535522},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0870179533958435},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.07659202814102173},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1022512411995","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1022512411995","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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":32,"referenced_works":["https://openalex.org/W185305415","https://openalex.org/W302645333","https://openalex.org/W1483874187","https://openalex.org/W1495658734","https://openalex.org/W1512123751","https://openalex.org/W1518078339","https://openalex.org/W1521386166","https://openalex.org/W1557638737","https://openalex.org/W1593317323","https://openalex.org/W1686955344","https://openalex.org/W1963550851","https://openalex.org/W1971851272","https://openalex.org/W1983999170","https://openalex.org/W1997539791","https://openalex.org/W2015911097","https://openalex.org/W2021428526","https://openalex.org/W2058369923","https://openalex.org/W2058950129","https://openalex.org/W2075925627","https://openalex.org/W2092611373","https://openalex.org/W2129480103","https://openalex.org/W2154310673","https://openalex.org/W2272795305","https://openalex.org/W2494622204","https://openalex.org/W2496298831","https://openalex.org/W2503581824","https://openalex.org/W2963670035","https://openalex.org/W3146520007","https://openalex.org/W4210916633","https://openalex.org/W4244563123","https://openalex.org/W4285719527","https://openalex.org/W4292895032"],"related_works":["https://openalex.org/W3146908064","https://openalex.org/W2235461833","https://openalex.org/W51232203","https://openalex.org/W197700457","https://openalex.org/W4210428574","https://openalex.org/W4240870094","https://openalex.org/W2293110063","https://openalex.org/W2091012988","https://openalex.org/W2006054213","https://openalex.org/W2031345939"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}