{"id":"https://openalex.org/W2090145095","doi":"https://doi.org/10.1007/s10957-013-0308-6","title":"A Steepest Descent-Like Method for Variable Order Vector Optimization Problems","display_name":"A Steepest Descent-Like Method for Variable Order Vector Optimization Problems","publication_year":2013,"publication_date":"2013-04-18","ids":{"openalex":"https://openalex.org/W2090145095","doi":"https://doi.org/10.1007/s10957-013-0308-6","mag":"2090145095"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-013-0308-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-013-0308-6","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/A5015159689","display_name":"Yunier Bello-Cruz","orcid":"https://orcid.org/0000-0002-7877-5688"},"institutions":[{"id":"https://openalex.org/I68106152","display_name":"Universidade Federal de Goi\u00e1s","ror":"https://ror.org/0039d5757","country_code":"BR","type":"education","lineage":["https://openalex.org/I68106152"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"J. Y. Bello Cruz","raw_affiliation_strings":["Universidade Federal de Goi\u00e1s, Goi\u00e2nia, Brazil","Universidade Federal de Go\u00edas, Goi\u00e2nia, Brazil"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Goi\u00e1s, Goi\u00e2nia, Brazil","institution_ids":["https://openalex.org/I68106152"]},{"raw_affiliation_string":"Universidade Federal de Go\u00edas, Goi\u00e2nia, Brazil","institution_ids":["https://openalex.org/I68106152"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034600435","display_name":"Gemayqzel Bouza Allende","orcid":"https://orcid.org/0000-0003-4457-9360"},"institutions":[{"id":"https://openalex.org/I2656126","display_name":"University of Havana","ror":"https://ror.org/04204gr61","country_code":"CU","type":"education","lineage":["https://openalex.org/I2656126"]}],"countries":["CU"],"is_corresponding":false,"raw_author_name":"G. Bouza Allende","raw_affiliation_strings":["Facultad de Matem\u00e1tica y Computaci\u00f3n, Universidad de La Habana, Havana, Cuba","Facultad de Matem\u00e1tica y Computaci\u00f3n, Universidad de la Habana, Havana, Cuba#TAB#"],"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1tica y Computaci\u00f3n, Universidad de La Habana, Havana, Cuba","institution_ids":["https://openalex.org/I2656126"]},{"raw_affiliation_string":"Facultad de Matem\u00e1tica y Computaci\u00f3n, Universidad de la Habana, Havana, Cuba#TAB#","institution_ids":["https://openalex.org/I2656126"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015159689"],"corresponding_institution_ids":["https://openalex.org/I68106152"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":10.3837,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.98665049,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"162","issue":"2","first_page":"371","last_page":"391"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994000196456909,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/theory-of-computation","display_name":"Theory of computation","score":0.7331728339195251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7190032601356506},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6044018864631653},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5603215098381042},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5531882643699646},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.537701427936554},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5373460650444031},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.5200019478797913},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5019657611846924},{"id":"https://openalex.org/keywords/method-of-steepest-descent","display_name":"Method of steepest descent","score":0.500108003616333},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.49093201756477356},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48903903365135193},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4827127158641815},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.46418729424476624},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4285963177680969},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.41950953006744385},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3984459936618805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2601546347141266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19091090559959412},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10844627022743225},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07382440567016602},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.06125316023826599}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7331728339195251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7190032601356506},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6044018864631653},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5603215098381042},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5531882643699646},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.537701427936554},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5373460650444031},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.5200019478797913},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5019657611846924},{"id":"https://openalex.org/C158847443","wikidata":"https://www.wikidata.org/wiki/Q1997812","display_name":"Method of steepest descent","level":2,"score":0.500108003616333},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49093201756477356},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48903903365135193},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4827127158641815},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.46418729424476624},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4285963177680969},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.41950953006744385},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3984459936618805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2601546347141266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19091090559959412},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10844627022743225},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07382440567016602},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.06125316023826599},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-013-0308-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-013-0308-6","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:162:y:2014:i:2:d:10.1007_s10957-013-0308-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-013-0308-6","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":[{"id":"https://metadata.un.org/sdg/13","score":0.49000000953674316,"display_name":"Climate action"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W113278869","https://openalex.org/W139193402","https://openalex.org/W196470134","https://openalex.org/W417516028","https://openalex.org/W658133961","https://openalex.org/W1488413262","https://openalex.org/W1494873624","https://openalex.org/W1506922153","https://openalex.org/W1526937596","https://openalex.org/W1585268704","https://openalex.org/W1971330608","https://openalex.org/W1985703530","https://openalex.org/W1986983198","https://openalex.org/W1993690050","https://openalex.org/W2004586020","https://openalex.org/W2016229739","https://openalex.org/W2021721618","https://openalex.org/W2024369560","https://openalex.org/W2029509128","https://openalex.org/W2031344840","https://openalex.org/W2032571239","https://openalex.org/W2032690622","https://openalex.org/W2042746864","https://openalex.org/W2052471135","https://openalex.org/W2057357578","https://openalex.org/W2061597864","https://openalex.org/W2067252707","https://openalex.org/W2080752182","https://openalex.org/W2085491742","https://openalex.org/W2100717205","https://openalex.org/W2116336343","https://openalex.org/W2160065245","https://openalex.org/W2895397838","https://openalex.org/W4214639713","https://openalex.org/W4249125060"],"related_works":["https://openalex.org/W1985812215","https://openalex.org/W2098072525","https://openalex.org/W2111200844","https://openalex.org/W1639546659","https://openalex.org/W39176023","https://openalex.org/W2054621035","https://openalex.org/W2381266720","https://openalex.org/W2046515352","https://openalex.org/W2037211941","https://openalex.org/W2301935234"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
