{"id":"https://openalex.org/W2202035679","doi":null,"title":"MINIMIZATION OF A NONDIFFERENTIABLE FUNCTION: AN ALGORITHM USING TRUST REGION TECHNIQUE AND CONJUGATE SUBGRADIENT METHOD","display_name":"MINIMIZATION OF A NONDIFFERENTIABLE FUNCTION: AN ALGORITHM USING TRUST REGION TECHNIQUE AND CONJUGATE SUBGRADIENT METHOD","publication_year":2015,"publication_date":"2015-12-09","ids":{"openalex":"https://openalex.org/W2202035679","mag":"2202035679"},"language":"en","primary_location":{"id":"pmh:oai:casopisi.junis.ni.ac.rs:article/1294","doi":null,"is_oa":true,"landing_page_url":"https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/1294","pdf_url":"https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/download/1294/pdf_54","source":{"id":"https://openalex.org/S4210216000","display_name":"Facta Universitatis Series Mathematics and Informatics","issn_l":"0352-9665","issn":["0352-9665","2406-047X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310317552","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/P4310317552"],"host_organization_lineage_names":["University of Pisa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"0352-9665","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/download/1294/pdf_54","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028258233","display_name":"Milanka Garda\u0161evi\u0107-Filipovi\u0107","orcid":"https://orcid.org/0000-0003-4604-2065","observed_orcids":["https://orcid.org/0000-0003-4604-2065"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Milanka D. Garda\u0161evi\u0107-Filipovo\u0107","raw_affiliation_strings":["Vocational College of Technology#R##N#Arandjelovac#R##N#Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vocational College of Technology#R##N#Arandjelovac#R##N#Serbia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082549270","display_name":"Nada I. Djuranovi\u0107-Mili\u010di\u0107","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Nada Djuranovic-Milicic","raw_affiliation_strings":["Faculty of Technology, University in Belgrade"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Technology, University in Belgrade","institution_ids":["https://openalex.org/I4068193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10748079,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"30","issue":"5","first_page":"583","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.5898000001907349,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.5898000001907349,"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":0.4004000127315521,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.0007999999797903001,"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/trust-region-method","display_name":"trust region method","score":0.9620000123977661},{"id":"https://openalex.org/keywords/subgradients","display_name":"subgradients","score":0.6140000224113464},{"id":"https://openalex.org/keywords/first-order-optimality-conditions","display_name":"first-order optimality conditions","score":0.6129999756813049},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.5049999952316284},{"id":"https://openalex.org/keywords/limit-points","display_name":"limit points","score":0.7139999866485596}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9555566906929016},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.7038779258728027},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6629100441932678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6520036458969116},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6182340383529663},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5375293493270874},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5316873788833618},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.526125431060791},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.5110613107681274},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49107933044433594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33222007751464844},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:casopisi.junis.ni.ac.rs:article/1294","doi":null,"is_oa":true,"landing_page_url":"https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/1294","pdf_url":"https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/download/1294/pdf_54","source":{"id":"https://openalex.org/S4210216000","display_name":"Facta Universitatis Series Mathematics and Informatics","issn_l":"0352-9665","issn":["0352-9665","2406-047X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310317552","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/P4310317552"],"host_organization_lineage_names":["University of Pisa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"0352-9665","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:scindeks:0352-96651505583G","doi":null,"is_oa":true,"landing_page_url":"http://scindeks.ceon.rs/article.aspx?artid=0352-96651505583G","pdf_url":null,"source":{"id":"https://openalex.org/S4377196112","display_name":"SCIndeks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Facta universitatis - series: Mathematics and Informatics (2015) 30(5):583-596","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:2202035679","doi":null,"is_oa":true,"landing_page_url":"http://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/download/1294/pdf_54","pdf_url":null,"source":{"id":"https://openalex.org/S4210216000","display_name":"Facta Universitatis Series Mathematics and Informatics","issn_l":"0352-9665","issn":["0352-9665","2406-047X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310317552","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/P4310317552"],"host_organization_lineage_names":["University of Pisa"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Facta Universitatis, Series: Mathematics and Informatics","raw_type":null}],"best_oa_location":{"id":"pmh:oai:casopisi.junis.ni.ac.rs:article/1294","doi":null,"is_oa":true,"landing_page_url":"https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/1294","pdf_url":"https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/download/1294/pdf_54","source":{"id":"https://openalex.org/S4210216000","display_name":"Facta Universitatis Series Mathematics and Informatics","issn_l":"0352-9665","issn":["0352-9665","2406-047X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310317552","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/P4310317552"],"host_organization_lineage_names":["University of Pisa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"0352-9665","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2202035679.pdf","grobid_xml":"https://content.openalex.org/works/W2202035679.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W182881619","https://openalex.org/W1551360398","https://openalex.org/W1985754981","https://openalex.org/W1989626574","https://openalex.org/W1995757014","https://openalex.org/W2000343405","https://openalex.org/W2008571296","https://openalex.org/W2022150446","https://openalex.org/W2033957915","https://openalex.org/W2045897813","https://openalex.org/W2057681237","https://openalex.org/W2091371007","https://openalex.org/W2116462758","https://openalex.org/W2146232856","https://openalex.org/W2307152891","https://openalex.org/W2471988522","https://openalex.org/W3106807711","https://openalex.org/W3203127690"],"related_works":["https://openalex.org/W2732605851","https://openalex.org/W7100364966","https://openalex.org/W2155940767","https://openalex.org/W4240463582","https://openalex.org/W2008571296","https://openalex.org/W2938205363","https://openalex.org/W2079688774","https://openalex.org/W1980963230","https://openalex.org/W2318600833","https://openalex.org/W1992896291"],"abstract_inverted_index":{"Abstract.":[0],"In":[1],"this":[2],"paper":[3],"we":[4],"present":[5],"a":[6,21],"method":[7,14],"for":[8],"minimization":[9],"of":[10,30],"anondifferentiable":[11],"function.":[12],"The":[13],"uses":[15],"trust":[16],"region":[17],"strategy":[18],"combined":[19],"with":[20],"conjugate":[22],"subgradient":[23],"method.":[24],"It":[25],"is":[26],"proved":[27],"that":[28],"thesequence":[29],"points":[31],"generated":[32],"by":[33],"the":[34,41],"algorithm":[35],"has":[36],"an":[37],"accumulation":[38],"pointwhich":[39],"satisfies":[40],"first":[42],"order":[43],"necessary":[44],"and":[45],"sufficient":[46],"conditions.":[47]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}