{"id":"https://openalex.org/W2993689585","doi":"https://doi.org/10.1007/s10288-019-00425-x","title":"Essentials of numerical nonsmooth optimization","display_name":"Essentials of numerical nonsmooth optimization","publication_year":2019,"publication_date":"2019-12-06","ids":{"openalex":"https://openalex.org/W2993689585","doi":"https://doi.org/10.1007/s10288-019-00425-x","mag":"2993689585"},"language":"en","primary_location":{"id":"doi:10.1007/s10288-019-00425-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-019-00425-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"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":"4OR","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/A5087376257","display_name":"Manlio Gaudioso","orcid":"https://orcid.org/0000-0002-3022-7041"},"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":true,"raw_author_name":"Manlio Gaudioso","raw_affiliation_strings":["DIMES, Universit\u00e0 della Calabria, 87036, Rende, CS, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3022-7041","affiliations":[{"raw_affiliation_string":"DIMES, Universit\u00e0 della Calabria, 87036, Rende, CS, Italy","institution_ids":["https://openalex.org/I45204951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058243487","display_name":"Giovanni Giallombardo","orcid":"https://orcid.org/0000-0002-3714-197X"},"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":"Giovanni Giallombardo","raw_affiliation_strings":["DIMES, Universit\u00e0 della Calabria, 87036, Rende, CS, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3714-197X","affiliations":[{"raw_affiliation_string":"DIMES, Universit\u00e0 della Calabria, 87036, Rende, CS, Italy","institution_ids":["https://openalex.org/I45204951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030738078","display_name":"Giovanna Miglionico","orcid":"https://orcid.org/0000-0002-6304-5877"},"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":"Giovanna Miglionico","raw_affiliation_strings":["DIMES, Universit\u00e0 della Calabria, 87036, Rende, CS, Italy"],"raw_orcid":"https://orcid.org/0000-0002-6304-5877","affiliations":[{"raw_affiliation_string":"DIMES, Universit\u00e0 della Calabria, 87036, Rende, CS, Italy","institution_ids":["https://openalex.org/I45204951"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087376257"],"corresponding_institution_ids":["https://openalex.org/I45204951"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.2712,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88132475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"18","issue":"1","first_page":"1","last_page":"47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9979000091552734,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9866999983787537,"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/subgradient-method","display_name":"Subgradient method","score":0.8279241323471069},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.7546099424362183},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6092885136604309},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5002670288085938},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.49517861008644104},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.45860111713409424},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4512575566768646},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4384080767631531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3889316916465759},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.352505624294281},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32394587993621826},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13161888718605042},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09315544366836548},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08999502658843994},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07005777955055237}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.8279241323471069},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.7546099424362183},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6092885136604309},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5002670288085938},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.49517861008644104},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.45860111713409424},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4512575566768646},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4384080767631531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3889316916465759},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.352505624294281},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32394587993621826},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13161888718605042},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09315544366836548},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08999502658843994},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07005777955055237},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"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":2,"locations":[{"id":"doi:10.1007/s10288-019-00425-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-019-00425-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"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":"4OR","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:aqjoor:v:18:y:2020:i:1:d:10.1007_s10288-019-00425-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10288-019-00425-x","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":143,"referenced_works":["https://openalex.org/W11112849","https://openalex.org/W21055737","https://openalex.org/W44132750","https://openalex.org/W54906651","https://openalex.org/W75157487","https://openalex.org/W90226210","https://openalex.org/W150651444","https://openalex.org/W585047121","https://openalex.org/W633277346","https://openalex.org/W1503492992","https://openalex.org/W1505731132","https://openalex.org/W1507892832","https://openalex.org/W1511261802","https://openalex.org/W1539866208","https://openalex.org/W1551360398","https://openalex.org/W1553702074","https://openalex.org/W1561443783","https://openalex.org/W1568288633","https://openalex.org/W1568307856","https://openalex.org/W1953936588","https://openalex.org/W1969811075","https://openalex.org/W1975020886","https://openalex.org/W1977274244","https://openalex.org/W1978669994","https://openalex.org/W1980468836","https://openalex.org/W1980845317","https://openalex.org/W1981724380","https://openalex.org/W1982511487","https://openalex.org/W1985240368","https://openalex.org/W1985700739","https://openalex.org/W1985752510","https://openalex.org/W1988832226","https://openalex.org/W1989459802","https://openalex.org/W1989626574","https://openalex.org/W1990494141","https://openalex.org/W1992586477","https://openalex.org/W1992688650","https://openalex.org/W1995686594","https://openalex.org/W2001719329","https://openalex.org/W2003939156","https://openalex.org/W2005022214","https://openalex.org/W2008164266","https://openalex.org/W2008571296","https://openalex.org/W2008685729","https://openalex.org/W2012183861","https://openalex.org/W2013243898","https://openalex.org/W2016384870","https://openalex.org/W2022150446","https://openalex.org/W2022881263","https://openalex.org/W2024366073","https://openalex.org/W2025051282","https://openalex.org/W2025811470","https://openalex.org/W2029877964","https://openalex.org/W2031244688","https://openalex.org/W2031846494","https://openalex.org/W2033957915","https://openalex.org/W2036748616","https://openalex.org/W2038497950","https://openalex.org/W2039110678","https://openalex.org/W2040017185","https://openalex.org/W2041928877","https://openalex.org/W2045068465","https://openalex.org/W2048153686","https://openalex.org/W2050014122","https://openalex.org/W2050875740","https://openalex.org/W2050907032","https://openalex.org/W2051306216","https://openalex.org/W2053523313","https://openalex.org/W2054090890","https://openalex.org/W2058839679","https://openalex.org/W2062320580","https://openalex.org/W2062525688","https://openalex.org/W2062846739","https://openalex.org/W2063767894","https://openalex.org/W2064467857","https://openalex.org/W2064942524","https://openalex.org/W2064948689","https://openalex.org/W2065997029","https://openalex.org/W2069808690","https://openalex.org/W2071634839","https://openalex.org/W2074522218","https://openalex.org/W2075146859","https://openalex.org/W2076428552","https://openalex.org/W2076605490","https://openalex.org/W2080297732","https://openalex.org/W2081054639","https://openalex.org/W2082476974","https://openalex.org/W2083406795","https://openalex.org/W2084491165","https://openalex.org/W2084704795","https://openalex.org/W2085267852","https://openalex.org/W2087580994","https://openalex.org/W2088127528","https://openalex.org/W2089472568","https://openalex.org/W2090246427","https://openalex.org/W2091371007","https://openalex.org/W2091604953","https://openalex.org/W2094993225","https://openalex.org/W2095191675","https://openalex.org/W2106318612","https://openalex.org/W2118700449","https://openalex.org/W2128352390","https://openalex.org/W2139992109","https://openalex.org/W2146131395","https://openalex.org/W2151092342","https://openalex.org/W2153562582","https://openalex.org/W2159434603","https://openalex.org/W2167732364","https://openalex.org/W2169713291","https://openalex.org/W2172033258","https://openalex.org/W2224698616","https://openalex.org/W2325681654","https://openalex.org/W2406624004","https://openalex.org/W2485305008","https://openalex.org/W2495560524","https://openalex.org/W2527962024","https://openalex.org/W2588292086","https://openalex.org/W2609009132","https://openalex.org/W2743286152","https://openalex.org/W2754518108","https://openalex.org/W2762438520","https://openalex.org/W2798766386","https://openalex.org/W2798773971","https://openalex.org/W2810034112","https://openalex.org/W2892868047","https://openalex.org/W2910458439","https://openalex.org/W2911537201","https://openalex.org/W2911911537","https://openalex.org/W2918733380","https://openalex.org/W2966273810","https://openalex.org/W3007368744","https://openalex.org/W3035984219","https://openalex.org/W4211092921","https://openalex.org/W4212912562","https://openalex.org/W4230278445","https://openalex.org/W4231613820","https://openalex.org/W4235178178","https://openalex.org/W4242576043","https://openalex.org/W4243140258","https://openalex.org/W4249667877","https://openalex.org/W4249840661","https://openalex.org/W4285719527","https://openalex.org/W4361793183"],"related_works":["https://openalex.org/W2359120930","https://openalex.org/W2037613239","https://openalex.org/W2781777036","https://openalex.org/W2390469630","https://openalex.org/W2059050877","https://openalex.org/W1971290991","https://openalex.org/W4378770495","https://openalex.org/W1944783162","https://openalex.org/W2962762987","https://openalex.org/W4238880966"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
