{"id":"https://openalex.org/W2526083046","doi":"https://doi.org/10.1007/s10107-016-1072-9","title":"Feasible methods for nonconvex nonsmooth problems with applications in green communications","display_name":"Feasible methods for nonconvex nonsmooth problems with applications in green communications","publication_year":2016,"publication_date":"2016-10-01","ids":{"openalex":"https://openalex.org/W2526083046","doi":"https://doi.org/10.1007/s10107-016-1072-9","mag":"2526083046"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-016-1072-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-016-1072-9","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://iris.uniroma1.it/bitstream/11573/937921/5/Facchinei_preprint_Feasible_2017.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019411025","display_name":"Francisco Facchinei","orcid":"https://orcid.org/0000-0002-7714-1210"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Francisco Facchinei","raw_affiliation_strings":["Department of Computer, Control, and Management Engineering Antonio Ruberti, University of Rome La Sapienza, Via Ariosto 25, 00185, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-7714-1210","affiliations":[{"raw_affiliation_string":"Department of Computer, Control, and Management Engineering Antonio Ruberti, University of Rome La Sapienza, Via Ariosto 25, 00185, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047792212","display_name":"Lorenzo Lampariello","orcid":"https://orcid.org/0000-0003-4177-3598"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lorenzo Lampariello","raw_affiliation_strings":["Department of Business Studies, University of RomaTre, Via Silvio D\u2019Amico 77, 00145, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Business Studies, University of RomaTre, Via Silvio D\u2019Amico 77, 00145, Rome, Italy","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041765559","display_name":"Gesualdo Scutari","orcid":"https://orcid.org/0000-0002-6453-6870"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gesualdo Scutari","raw_affiliation_strings":["School of Industrial Engineering, Purdue University, West Lafayette, IN, 47907-5400, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Industrial Engineering, Purdue University, West Lafayette, IN, 47907-5400, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019411025"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.76,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.85388152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"164","issue":"1-2","first_page":"55","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7169722318649292},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6516371965408325},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6017802953720093},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48220717906951904},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.47692081332206726},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47536009550094604},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.45983925461769104},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4449126124382019},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.42320147156715393},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4147571921348572},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4139113426208496},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.41176536679267883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.321331262588501}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7169722318649292},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6516371965408325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6017802953720093},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48220717906951904},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.47692081332206726},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47536009550094604},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.45983925461769104},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4449126124382019},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.42320147156715393},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4147571921348572},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4139113426208496},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.41176536679267883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.321331262588501},{"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/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-016-1072-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-016-1072-9","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/937921","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/937921","pdf_url":"https://iris.uniroma1.it/bitstream/11573/937921/5/Facchinei_preprint_Feasible_2017.pdf","source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma3.it:11590/313375","is_oa":false,"landing_page_url":"http://hdl.handle.net/11590/313375","pdf_url":null,"source":{"id":"https://openalex.org/S4377196120","display_name":"Iris (Roma Tre University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119003972","host_organization_name":"Roma Tre University","host_organization_lineage":["https://openalex.org/I119003972"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.uniroma1.it:11573/937921","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/937921","pdf_url":"https://iris.uniroma1.it/bitstream/11573/937921/5/Facchinei_preprint_Feasible_2017.pdf","source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8999999761581421}],"awards":[{"id":"https://openalex.org/G1059919307","display_name":"CAREER:Variational Inequalities: A New Paradigm for Cognitive Network Layering","funder_award_id":"1555850","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G269180635","display_name":null,"funder_award_id":"CAREER Award No. 1254739","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2705255068","display_name":"CIF: Small: Collaborative Research: Communicating While Computing: Mobile Fog Computing Over Wireless Heterogeneous Networks","funder_award_id":"1564044","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4466151547","display_name":null,"funder_award_id":"CMS 1218717","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4784054808","display_name":null,"funder_award_id":"N00014-16-1-2244","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5988088540","display_name":null,"funder_award_id":"CIF 1564044","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2526083046.pdf","grobid_xml":"https://content.openalex.org/works/W2526083046.grobid-xml"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W2446983","https://openalex.org/W637898570","https://openalex.org/W1495350211","https://openalex.org/W1543439990","https://openalex.org/W1551360398","https://openalex.org/W1576452626","https://openalex.org/W1601741115","https://openalex.org/W1603765807","https://openalex.org/W1855462127","https://openalex.org/W1969648546","https://openalex.org/W1974661392","https://openalex.org/W1977622711","https://openalex.org/W1978554456","https://openalex.org/W1980882580","https://openalex.org/W1988641273","https://openalex.org/W1994635453","https://openalex.org/W1997603357","https://openalex.org/W1997834106","https://openalex.org/W2004488800","https://openalex.org/W2013315229","https://openalex.org/W2014101933","https://openalex.org/W2014746566","https://openalex.org/W2015032904","https://openalex.org/W2022544199","https://openalex.org/W2026644464","https://openalex.org/W2027982384","https://openalex.org/W2033531890","https://openalex.org/W2041052523","https://openalex.org/W2045740595","https://openalex.org/W2046272803","https://openalex.org/W2058361915","https://openalex.org/W2062523101","https://openalex.org/W2064191652","https://openalex.org/W2067275683","https://openalex.org/W2069691851","https://openalex.org/W2083231020","https://openalex.org/W2085091825","https://openalex.org/W2089856363","https://openalex.org/W2093384656","https://openalex.org/W2100573451","https://openalex.org/W2105555541","https://openalex.org/W2106156434","https://openalex.org/W2112170521","https://openalex.org/W2118389351","https://openalex.org/W2124348301","https://openalex.org/W2153245297","https://openalex.org/W2156762405","https://openalex.org/W2211148590","https://openalex.org/W2225235077","https://openalex.org/W2248483376","https://openalex.org/W2326806701","https://openalex.org/W2798766386","https://openalex.org/W3101495100","https://openalex.org/W3157341860","https://openalex.org/W4212766343","https://openalex.org/W4249513058","https://openalex.org/W4250739957","https://openalex.org/W4301791716","https://openalex.org/W4307347247"],"related_works":["https://openalex.org/W998914686","https://openalex.org/W2011931970","https://openalex.org/W2811008754","https://openalex.org/W2953109382","https://openalex.org/W2589063463","https://openalex.org/W4314947455","https://openalex.org/W4298668733","https://openalex.org/W2067326682","https://openalex.org/W2952048857","https://openalex.org/W4225392794"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}