{"id":"https://openalex.org/W2747021333","doi":"https://doi.org/10.3390/sym9080163","title":"Distributed Newton Methods for Strictly Convex Consensus Optimization Problems in Multi-Agent Networks","display_name":"Distributed Newton Methods for Strictly Convex Consensus Optimization Problems in Multi-Agent Networks","publication_year":2017,"publication_date":"2017-08-18","ids":{"openalex":"https://openalex.org/W2747021333","doi":"https://doi.org/10.3390/sym9080163","mag":"2747021333"},"language":"en","primary_location":{"id":"doi:10.3390/sym9080163","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym9080163","pdf_url":"https://www.mdpi.com/2073-8994/9/8/163/pdf?version=1503063285","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/9/8/163/pdf?version=1503063285","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053107137","display_name":"Dong Wang","orcid":"https://orcid.org/0000-0003-1392-3042"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Wang","raw_affiliation_strings":["Institute of Transportation System Science and Engineering, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":"https://orcid.org/0000-0003-1392-3042","affiliations":[{"raw_affiliation_string":"Institute of Transportation System Science and Engineering, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003545363","display_name":"Hualing Ren","orcid":"https://orcid.org/0000-0002-8007-8080"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hualing Ren","raw_affiliation_strings":["Institute of Transportation System Science and Engineering, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Transportation System Science and Engineering, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101784780","display_name":"Fubo Shao","orcid":"https://orcid.org/0000-0001-7720-902X"},"institutions":[{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fubo Shao","raw_affiliation_strings":["School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China","institution_ids":["https://openalex.org/I143413998"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003545363"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.3922,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71120854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"9","issue":"8","first_page":"163","last_page":"163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9991999864578247,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.6791595816612244},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.651603639125824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6134783029556274},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5905949473381042},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5868571996688843},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.5344454646110535},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5265957117080688},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4824834167957306},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.45058318972587585},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4321715235710144},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.4284036457538605},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.4200918674468994},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.3958092927932739},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.36975347995758057},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.35434579849243164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35151952505111694},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.247219055891037},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.16256222128868103},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.0884336531162262}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.6791595816612244},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.651603639125824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6134783029556274},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5905949473381042},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5868571996688843},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.5344454646110535},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5265957117080688},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4824834167957306},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.45058318972587585},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4321715235710144},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.4284036457538605},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.4200918674468994},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.3958092927932739},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.36975347995758057},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.35434579849243164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35151952505111694},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.247219055891037},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.16256222128868103},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0884336531162262},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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:10.3390/sym9080163","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym9080163","pdf_url":"https://www.mdpi.com/2073-8994/9/8/163/pdf?version=1503063285","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7a37be04d31d4bb5a3f958e7655ea3d2","is_oa":true,"landing_page_url":"https://doaj.org/article/7a37be04d31d4bb5a3f958e7655ea3d2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 9, Iss 8, p 163 (2017)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/9/8/163/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym9080163","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry; Volume 9; Issue 8; Pages: 163","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym9080163","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym9080163","pdf_url":"https://www.mdpi.com/2073-8994/9/8/163/pdf?version=1503063285","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1264526517","display_name":"\u57fa\u4e8e\u52a8\u6001\u4ea4\u901a\u7f51\u7edc\u7684\u5206\u6bb5\u9053\u8def\u62e5\u6324\u6536\u8d39\u7b56\u7565\u7814\u7a76","funder_award_id":"71371026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G587651574","display_name":null,"funder_award_id":"71621001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1955080081","https://openalex.org/W1982545958","https://openalex.org/W1999174140","https://openalex.org/W2011925679","https://openalex.org/W2027650277","https://openalex.org/W2044212084","https://openalex.org/W2056908709","https://openalex.org/W2066332749","https://openalex.org/W2101385798","https://openalex.org/W2104842473","https://openalex.org/W2106901427","https://openalex.org/W2123705108","https://openalex.org/W2128927076","https://openalex.org/W2132650954","https://openalex.org/W2150164940","https://openalex.org/W2151063922","https://openalex.org/W2164278908","https://openalex.org/W2226884960","https://openalex.org/W2483122450","https://openalex.org/W2575685732","https://openalex.org/W2581630057","https://openalex.org/W2604352400","https://openalex.org/W2724686744","https://openalex.org/W3142756138","https://openalex.org/W4211091685","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2350788688","https://openalex.org/W2380062341","https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W2259043954","https://openalex.org/W2387535608","https://openalex.org/W2026900827","https://openalex.org/W2807832610","https://openalex.org/W2031390949","https://openalex.org/W3094698614"],"abstract_inverted_index":{"Various":[0],"distributed":[1,36,91,134,151,155],"optimization":[2,9,78,125],"methods":[3,17,136],"have":[4],"been":[5,54],"developed":[6],"for":[7,56,122],"consensus":[8,77,124],"problems":[10],"in":[11,80,149],"multi-agent":[12,83,106],"networks.":[13,84],"Most":[14],"of":[15,24,45,76,171,182],"these":[16],"only":[18],"use":[19,44],"gradient":[20],"or":[21],"subgradient":[22],"information":[23,47],"the":[25,43,57,90,108,114,119,138,141,154,168,176,180,183],"objective":[26],"functions,":[27],"which":[28,164],"suffer":[29],"from":[30,42],"slow":[31],"convergence":[32,51,128],"rate.":[33],"Recently,":[34],"a":[35,73,98,145,150,162],"Newton":[37,92,135,156],"method":[38,68,93,157],"whose":[39],"appeal":[40],"stems":[41],"second-order":[46],"and":[48,118,175],"its":[49],"fast":[50],"rate":[52],"has":[53],"devised":[55],"network":[58,142],"utility":[59],"maximization":[60],"(NUM)":[61],"problem.":[62],"This":[63],"paper":[64],"contributes":[65],"to":[66,72,143,160],"this":[67,123],"by":[69,96,112,167],"adjusting":[70],"it":[71],"special":[74],"kind":[75],"problem":[79,163],"two":[81],"different":[82],"For":[85,103],"networks":[86],"with":[87],"Hamilton":[88],"path,":[89],"is":[94,110,158,165],"modified":[95,133],"exploiting":[97],"novel":[99],"matrix":[100,115],"splitting":[101,116],"techniques.":[102],"general":[104],"connected":[105],"networks,":[107],"algorithm":[109],"trimmed":[111],"combining":[113],"technique":[117],"spanning":[120],"tree":[121],"problems.":[126],"The":[127],"analyses":[129],"show":[130],"that":[131],"both":[132],"enable":[137],"nodes":[139],"across":[140],"achieve":[144],"global":[146],"optimal":[147],"solution":[148],"manner.":[152],"Finally,":[153],"applied":[159],"solve":[161],"motivated":[166],"Kuramoto":[169],"model":[170],"coupled":[172],"nonlinear":[173],"oscillators":[174],"numerical":[177],"results":[178],"illustrate":[179],"performance":[181],"proposed":[184],"algorithm.":[185]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}