{"id":"https://openalex.org/W3016676401","doi":"https://doi.org/10.1007/s11075-020-00928-3","title":"On constrained optimization with nonconvex regularization","display_name":"On constrained optimization with nonconvex regularization","publication_year":2020,"publication_date":"2020-04-19","ids":{"openalex":"https://openalex.org/W3016676401","doi":"https://doi.org/10.1007/s11075-020-00928-3","mag":"3016676401"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-00928-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-00928-3","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dx.doi.org/10.1007/s11075-020-00928-3","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087290455","display_name":"Ernesto G. Birgin","orcid":"https://orcid.org/0000-0002-7466-7663"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"E. G. Birgin","raw_affiliation_strings":["Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil","Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, Cidade Universit\u00e1 ria, 05508-090, S\u00e3o Paulo, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, Cidade Universit\u00e1 ria, 05508-090, S\u00e3o Paulo, SP, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066019994","display_name":"J. M. Mart\u0131\u0301nez","orcid":"https://orcid.org/0000-0003-3331-368X"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["BR","CZ"],"is_corresponding":false,"raw_author_name":"J. M. Mart\u00ednez","raw_affiliation_strings":["Department of Applied Mathematics, Institute of Mathematics, Statistics, Scientific Computing, State University of Campinas, Campinas, Brazil","Department of Applied Mathematics, Institute of Mathematics, Statistics, Scientific Computing, State University of Campinas, R. S\u00e9rgio Buarque de Holanda, 651, Cidade Universit\u00e1ria, 13083-859, Campinas, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Institute of Mathematics, Statistics, Scientific Computing, State University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015","https://openalex.org/I4210120266"]},{"raw_affiliation_string":"Department of Applied Mathematics, Institute of Mathematics, Statistics, Scientific Computing, State University of Campinas, R. S\u00e9rgio Buarque de Holanda, 651, Cidade Universit\u00e1ria, 13083-859, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101825307","display_name":"Alberto Ramos","orcid":"https://orcid.org/0000-0003-0656-255X"},"institutions":[{"id":"https://openalex.org/I52418104","display_name":"Universidade Federal do Paran\u00e1","ror":"https://ror.org/05syd6y78","country_code":"BR","type":"education","lineage":["https://openalex.org/I52418104"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"A. Ramos","raw_affiliation_strings":["Department of Mathematics, Federal University of Paran\u00e1, Curitiba, Brazil","Department of Mathematics, Federal University of Paran\u00e1, Centro Polit\u00e9cnico, Jd. das Am\u00e9ricas CP 19081, 81531-980, Curitiba, PR, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Federal University of Paran\u00e1, Curitiba, Brazil","institution_ids":["https://openalex.org/I52418104"]},{"raw_affiliation_string":"Department of Mathematics, Federal University of Paran\u00e1, Centro Polit\u00e9cnico, Jd. das Am\u00e9ricas CP 19081, 81531-980, Curitiba, PR, Brazil","institution_ids":["https://openalex.org/I52418104"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101825307"],"corresponding_institution_ids":["https://openalex.org/I52418104"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.3178,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.47651254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"86","issue":"3","first_page":"1165","last_page":"1188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7832649946212769},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7437916994094849},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7380548119544983},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7350338101387024},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6222313642501831},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6109762787818909},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.5618689656257629},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5270307660102844},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4310501515865326},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4215262532234192},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32870912551879883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22879955172538757},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10060834884643555},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07208511233329773},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06698456406593323}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7832649946212769},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7437916994094849},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7380548119544983},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7350338101387024},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6222313642501831},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6109762787818909},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.5618689656257629},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5270307660102844},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4310501515865326},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4215262532234192},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32870912551879883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22879955172538757},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10060834884643555},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07208511233329773},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06698456406593323},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-020-00928-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-00928-3","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:002999039","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s11075-020-00928-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:002999039","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s11075-020-00928-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2744736720","display_name":"CeMEAI - Center for Mathematical Sciences Applied to Industry","funder_award_id":"13/07375-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G2995864029","display_name":null,"funder_award_id":"438185/2018-8, 302538/2019-4, and 302682/2019-8","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W646582900","https://openalex.org/W1577667013","https://openalex.org/W1790023038","https://openalex.org/W1965125844","https://openalex.org/W1976709621","https://openalex.org/W1987995897","https://openalex.org/W2009680197","https://openalex.org/W2014360396","https://openalex.org/W2018672358","https://openalex.org/W2054141803","https://openalex.org/W2056603712","https://openalex.org/W2063761188","https://openalex.org/W2074682976","https://openalex.org/W2079775628","https://openalex.org/W2084978503","https://openalex.org/W2107861471","https://openalex.org/W2114424556","https://openalex.org/W2119821739","https://openalex.org/W2120032870","https://openalex.org/W2130633138","https://openalex.org/W2166388529","https://openalex.org/W2510806995","https://openalex.org/W2579964591","https://openalex.org/W2591820521","https://openalex.org/W2753896574","https://openalex.org/W2774800844","https://openalex.org/W2798766386","https://openalex.org/W2801742348","https://openalex.org/W2914910474","https://openalex.org/W2955809168","https://openalex.org/W3014094092","https://openalex.org/W3029645440","https://openalex.org/W3098306969","https://openalex.org/W4301909677"],"related_works":["https://openalex.org/W2940405130","https://openalex.org/W2363211409","https://openalex.org/W2376481828","https://openalex.org/W2390990501","https://openalex.org/W2002792507","https://openalex.org/W2348787543","https://openalex.org/W4226280031","https://openalex.org/W2044122222","https://openalex.org/W2369773818","https://openalex.org/W2996388602"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}