{"id":"https://openalex.org/W4392366395","doi":"https://doi.org/10.3390/a17030107","title":"Application of the Parabola Method in Nonconvex Optimization","display_name":"Application of the Parabola Method in Nonconvex Optimization","publication_year":2024,"publication_date":"2024-03-01","ids":{"openalex":"https://openalex.org/W4392366395","doi":"https://doi.org/10.3390/a17030107"},"language":"en","primary_location":{"id":"doi:10.3390/a17030107","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17030107","pdf_url":"https://www.mdpi.com/1999-4893/17/3/107/pdf?version=1709279283","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/3/107/pdf?version=1709279283","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058499007","display_name":"Anton Kolosnitsyn","orcid":"https://orcid.org/0000-0003-3964-1940"},"institutions":[{"id":"https://openalex.org/I4210114158","display_name":"Melentiev Energy Systems Institute","ror":"https://ror.org/02726j593","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210114158","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Anton Kolosnitsyn","raw_affiliation_strings":["Department of Applied Mathematics, Melentiev Energy Systems Institute, Lermontov St. 130, 664033 Irkutsk, Russia"],"raw_orcid":"https://orcid.org/0000-0003-3964-1940","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Melentiev Energy Systems Institute, Lermontov St. 130, 664033 Irkutsk, Russia","institution_ids":["https://openalex.org/I4210114158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057932292","display_name":"Oleg Khamisov","orcid":"https://orcid.org/0000-0002-8021-0205"},"institutions":[{"id":"https://openalex.org/I4210114158","display_name":"Melentiev Energy Systems Institute","ror":"https://ror.org/02726j593","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210114158","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Oleg Khamisov","raw_affiliation_strings":["Department of Applied Mathematics, Melentiev Energy Systems Institute, Lermontov St. 130, 664033 Irkutsk, Russia"],"raw_orcid":"https://orcid.org/0000-0002-8021-0205","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Melentiev Energy Systems Institute, Lermontov St. 130, 664033 Irkutsk, Russia","institution_ids":["https://openalex.org/I4210114158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035349875","display_name":"Eugene Semenkin","orcid":"https://orcid.org/0000-0002-3776-5707"},"institutions":[{"id":"https://openalex.org/I177537411","display_name":"Bauman Moscow State Technical University","ror":"https://ror.org/00pb8h375","country_code":"RU","type":"education","lineage":["https://openalex.org/I177537411"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Eugene Semenkin","raw_affiliation_strings":["Scientific and Educational Center \u201cArtificial Intellegence Technologies\u201d, Bauman Moscow State Technical University, 2nd Baumanskaya, Str. 5, 105005 Moscow, Russia","Scientific and Educational Center \"Artificial Intellegence Technologies\", Bauman Moscow State Technical University, 2nd Baumanskaya, Str. 5, 105005 Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0002-3776-5707","affiliations":[{"raw_affiliation_string":"Scientific and Educational Center \u201cArtificial Intellegence Technologies\u201d, Bauman Moscow State Technical University, 2nd Baumanskaya, Str. 5, 105005 Moscow, Russia","institution_ids":["https://openalex.org/I177537411"]},{"raw_affiliation_string":"Scientific and Educational Center \"Artificial Intellegence Technologies\", Bauman Moscow State Technical University, 2nd Baumanskaya, Str. 5, 105005 Moscow, Russia","institution_ids":["https://openalex.org/I177537411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053346800","display_name":"Vladimir Nelyub","orcid":"https://orcid.org/0000-0003-4263-2367"},"institutions":[{"id":"https://openalex.org/I177537411","display_name":"Bauman Moscow State Technical University","ror":"https://ror.org/00pb8h375","country_code":"RU","type":"education","lineage":["https://openalex.org/I177537411"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir Nelyub","raw_affiliation_strings":["Scientific and Educational Center \u201cArtificial Intellegence Technologies\u201d, Bauman Moscow State Technical University, 2nd Baumanskaya, Str. 5, 105005 Moscow, Russia","Scientific and Educational Center \"Artificial Intellegence Technologies\", Bauman Moscow State Technical University, 2nd Baumanskaya, Str. 5, 105005 Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0003-4263-2367","affiliations":[{"raw_affiliation_string":"Scientific and Educational Center \u201cArtificial Intellegence Technologies\u201d, Bauman Moscow State Technical University, 2nd Baumanskaya, Str. 5, 105005 Moscow, Russia","institution_ids":["https://openalex.org/I177537411"]},{"raw_affiliation_string":"Scientific and Educational Center \"Artificial Intellegence Technologies\", Bauman Moscow State Technical University, 2nd Baumanskaya, Str. 5, 105005 Moscow, Russia","institution_ids":["https://openalex.org/I177537411"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035349875","https://openalex.org/A5057932292"],"corresponding_institution_ids":["https://openalex.org/I177537411","https://openalex.org/I4210114158"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1782},"fwci":0.5145,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6340895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"17","issue":"3","first_page":"107","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9991999864578247,"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":0.9991999864578247,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parabola","display_name":"Parabola","score":0.9034914970397949},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5702301263809204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.547517716884613},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40555310249328613},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38336554169654846},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23494687676429749}],"concepts":[{"id":"https://openalex.org/C205890394","wikidata":"https://www.wikidata.org/wiki/Q48297","display_name":"Parabola","level":2,"score":0.9034914970397949},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5702301263809204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.547517716884613},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40555310249328613},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38336554169654846},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23494687676429749}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a17030107","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17030107","pdf_url":"https://www.mdpi.com/1999-4893/17/3/107/pdf?version=1709279283","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:884fd060c1054a70ab27d4afa801447a","is_oa":true,"landing_page_url":"https://doaj.org/article/884fd060c1054a70ab27d4afa801447a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 17, Iss 3, p 107 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17030107","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17030107","pdf_url":"https://www.mdpi.com/1999-4893/17/3/107/pdf?version=1709279283","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392366395.pdf"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W75157487","https://openalex.org/W104989081","https://openalex.org/W165594965","https://openalex.org/W181733065","https://openalex.org/W616361022","https://openalex.org/W1512123751","https://openalex.org/W1518078339","https://openalex.org/W2052725501","https://openalex.org/W2062274501","https://openalex.org/W2146973119","https://openalex.org/W2160960847","https://openalex.org/W2496298831","https://openalex.org/W2800363843","https://openalex.org/W4212864101","https://openalex.org/W4229766439","https://openalex.org/W4234534407","https://openalex.org/W4249447296","https://openalex.org/W6663721735"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2347312717","https://openalex.org/W1985521686","https://openalex.org/W2808918989","https://openalex.org/W1984881756","https://openalex.org/W957071694","https://openalex.org/W2350722314","https://openalex.org/W2042195825","https://openalex.org/W284242856","https://openalex.org/W2375551787"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,32,36,42,50,59,84,94],"Golden":[3],"Section":[4],"and":[5,38,41,76,90],"Parabola":[6,85],"Methods":[7],"for":[8,98],"solving":[9],"univariate":[10],"optimization":[11],"problems.":[12],"For":[13],"multivariate":[14],"problems,":[15],"we":[16],"use":[17],"these":[18],"methods":[19,29,55,81],"as":[20,31],"line":[21],"search":[22],"procedures":[23],"in":[24,58],"combination":[25],"with":[26,70,83],"well-known":[27],"zero-order":[28,54],"such":[30],"coordinate":[33],"descent":[34],"method,":[35,40],"Hooke":[37],"Jeeves":[39],"Rosenbrock":[43],"method.":[44],"A":[45],"comprehensive":[46],"numerical":[47],"comparison":[48],"of":[49,53,64,74],"obtained":[51],"versions":[52],"is":[56],"given":[57],"present":[60],"work.":[61],"The":[62],"set":[63],"test":[65],"problems":[66,100],"includes":[67],"nonconvex":[68],"functions":[69],"a":[71],"large":[72,99],"number":[73],"local":[75],"global":[77,95],"optimum":[78,96],"points.":[79],"Zero-order":[80],"combined":[82],"method":[86],"demonstrate":[87],"high":[88],"performance":[89],"quite":[91],"frequently":[92],"find":[93],"even":[97],"(up":[101],"to":[102],"100":[103],"variables).":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}