{"id":"https://openalex.org/W2885667420","doi":"https://doi.org/10.1007/s10898-019-00833-7","title":"New global optimality conditions for nonsmooth DC optimization problems","display_name":"New global optimality conditions for nonsmooth DC optimization problems","publication_year":2019,"publication_date":"2019-10-04","ids":{"openalex":"https://openalex.org/W2885667420","doi":"https://doi.org/10.1007/s10898-019-00833-7","mag":"2885667420"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-019-00833-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00833-7","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1808.03590","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"M. V. Dolgopolik","orcid":"https://orcid.org/0000-0003-0677-0797"},"institutions":[{"id":"https://openalex.org/I4210142628","display_name":"Institute of Problems of Mechanical Engineering","ror":"https://ror.org/047pt5178","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210142628","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"M. V. Dolgopolik","raw_affiliation_strings":["Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, Russia"],"raw_orcid":"https://orcid.org/0000-0003-0677-0797","affiliations":[{"raw_affiliation_string":"Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I4210142628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210142628"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.5478,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67416438,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"76","issue":"1","first_page":"25","last_page":"55"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.6190999746322632,"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":0.6190999746322632,"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":0.3269999921321869,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.008999999612569809,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/affine-transformation","display_name":"Affine transformation","score":0.6287000179290771},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.5802000164985657},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5683000087738037},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5400999784469604},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.5388000011444092},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.5218999981880188},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4767000079154968},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4754999876022339},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.44679999351501465}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7858999967575073},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.647599995136261},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6287000179290771},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.5802000164985657},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5683000087738037},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5400999784469604},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.5388000011444092},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.5218999981880188},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4767000079154968},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4754999876022339},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.44679999351501465},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.44609999656677246},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.44519999623298645},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4189999997615814},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4072999954223633},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.3813000023365021},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.3416000008583069},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.2903999984264374},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.2786000072956085},{"id":"https://openalex.org/C2989514635","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization problem","level":3,"score":0.267300009727478},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.262800008058548},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.25999999046325684}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-019-00833-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00833-7","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"},{"id":"pmh:oai:arXiv.org:1808.03590","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.03590","pdf_url":"https://arxiv.org/pdf/1808.03590","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:RePEc:spr:jglopt:v:76:y:2020:i:1:d:10.1007_s10898-019-00833-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-019-00833-7","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":{"id":"pmh:oai:arXiv.org:1808.03590","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.03590","pdf_url":"https://arxiv.org/pdf/1808.03590","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W27416461","https://openalex.org/W46129499","https://openalex.org/W52347394","https://openalex.org/W75157487","https://openalex.org/W81972919","https://openalex.org/W205831359","https://openalex.org/W1246665917","https://openalex.org/W1490704693","https://openalex.org/W1524477546","https://openalex.org/W1539866208","https://openalex.org/W1541503686","https://openalex.org/W1547127570","https://openalex.org/W1570728672","https://openalex.org/W1982405519","https://openalex.org/W1983871704","https://openalex.org/W1988778152","https://openalex.org/W1988833018","https://openalex.org/W1994724562","https://openalex.org/W1996833224","https://openalex.org/W2001324813","https://openalex.org/W2003562515","https://openalex.org/W2012457380","https://openalex.org/W2013604529","https://openalex.org/W2016408076","https://openalex.org/W2029471874","https://openalex.org/W2033345364","https://openalex.org/W2044800863","https://openalex.org/W2061195653","https://openalex.org/W2064451830","https://openalex.org/W2064721360","https://openalex.org/W2068237939","https://openalex.org/W2068889684","https://openalex.org/W2083029110","https://openalex.org/W2110168622","https://openalex.org/W2143013250","https://openalex.org/W2175532135","https://openalex.org/W2261918559","https://openalex.org/W2299461137","https://openalex.org/W2301746362","https://openalex.org/W2561526916","https://openalex.org/W2604776691","https://openalex.org/W2730095674","https://openalex.org/W2754518108","https://openalex.org/W2767653264","https://openalex.org/W2784408805","https://openalex.org/W2784638391","https://openalex.org/W2794154484","https://openalex.org/W2810034112","https://openalex.org/W2883328360","https://openalex.org/W2954349082","https://openalex.org/W3099586283","https://openalex.org/W3158532942","https://openalex.org/W4247489173","https://openalex.org/W4249667877","https://openalex.org/W4253214256","https://openalex.org/W4301021743"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2018-08-22T00:00:00"}