{"id":"https://openalex.org/W2569579344","doi":"https://doi.org/10.1109/cdc.2016.7798539","title":"Distributed computation of the Perron-Frobenius eigenvector","display_name":"Distributed computation of the Perron-Frobenius eigenvector","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2569579344","doi":"https://doi.org/10.1109/cdc.2016.7798539","mag":"2569579344"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798539","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798539","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5113960258","display_name":"Mu Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I8692664","display_name":"University of Oklahoma","ror":"https://ror.org/02aqsxs83","country_code":"US","type":"education","lineage":["https://openalex.org/I8692664"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mu Yang","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK, USA","institution_ids":["https://openalex.org/I8692664"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101932271","display_name":"Choon Yik Tang","orcid":"https://orcid.org/0000-0001-6145-301X"},"institutions":[{"id":"https://openalex.org/I8692664","display_name":"University of Oklahoma","ror":"https://ror.org/02aqsxs83","country_code":"US","type":"education","lineage":["https://openalex.org/I8692664"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Choon Yik Tang","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK, USA","institution_ids":["https://openalex.org/I8692664"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113960258"],"corresponding_institution_ids":["https://openalex.org/I8692664"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.14683624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1883","last_page":"1888"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9959999918937683,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9927999973297119,"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/gossip","display_name":"Gossip","score":0.7503497004508972},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6540532112121582},{"id":"https://openalex.org/keywords/pagerank","display_name":"PageRank","score":0.5640447735786438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5146816372871399},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.49121683835983276},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4756348133087158},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.4588944911956787},{"id":"https://openalex.org/keywords/asymptotically-optimal-algorithm","display_name":"Asymptotically optimal algorithm","score":0.4438122808933258},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43899422883987427},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.41745656728744507},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.41635024547576904},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4098012447357178},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40090420842170715},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32771074771881104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2512059807777405},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.20082804560661316},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.0852939784526825}],"concepts":[{"id":"https://openalex.org/C62989814","wikidata":"https://www.wikidata.org/wiki/Q854648","display_name":"Gossip","level":2,"score":0.7503497004508972},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6540532112121582},{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.5640447735786438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5146816372871399},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.49121683835983276},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4756348133087158},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.4588944911956787},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.4438122808933258},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43899422883987427},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.41745656728744507},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.41635024547576904},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4098012447357178},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40090420842170715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32771074771881104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2512059807777405},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.20082804560661316},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0852939784526825},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2016.7798539","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798539","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1875112053","https://openalex.org/W1974676331","https://openalex.org/W1979112316","https://openalex.org/W2002770250","https://openalex.org/W2023401026","https://openalex.org/W2043490270","https://openalex.org/W2066636486","https://openalex.org/W2090233545","https://openalex.org/W2106101949","https://openalex.org/W2108272874","https://openalex.org/W2113247391","https://openalex.org/W2117285924","https://openalex.org/W2150171340","https://openalex.org/W2321653420","https://openalex.org/W2963512078","https://openalex.org/W2963662649","https://openalex.org/W4229706427","https://openalex.org/W4238452917"],"related_works":["https://openalex.org/W2014496162","https://openalex.org/W2058185550","https://openalex.org/W4233962493","https://openalex.org/W4213342718","https://openalex.org/W2004947445","https://openalex.org/W2949833368","https://openalex.org/W4300545322","https://openalex.org/W3090842298","https://openalex.org/W3160940394","https://openalex.org/W3088611359"],"abstract_inverted_index":{"The":[0],"Perron-Frobenius":[1,48],"theorem":[2],"has":[3],"numerous":[4],"applications,":[5],"including":[6],"to":[7,41,101,111,132],"Markov":[8],"chains,":[9],"economics,":[10],"and":[11,26,38,54,108],"ranking":[12],"of":[13,22,46,50,74],"webpages.":[14],"In":[15],"this":[16],"paper,":[17],"we":[18],"develop":[19],"a":[20,27,51,88,94,104,120],"class":[21,86],"continuous-time":[23,81],"distributed":[24,82],"algorithms":[25],"gossip":[28,128],"algorithm,":[29],"which":[30],"enable":[31],"each":[32,80],"node":[33,68],"i":[34,69,73],"in":[35,84],"an":[36],"undirected":[37],"connected":[39],"graph":[40],"compute":[42],"the":[43,47,59,64,75,85,112,124,127,134],"ith":[44],"entry":[45],"eigenvector":[49],"symmetric,":[52],"Metzler,":[53],"irreducible":[55],"matrix":[56],"associated":[57],"with":[58,93],"graph,":[60],"as":[61,63],"well":[62],"corresponding":[65],"eigenvalue,":[66],"when":[67],"knows":[70],"only":[71],"row":[72],"matrix.":[76],"We":[77,115],"show":[78,117],"that":[79,118],"algorithm":[83,129],"is":[87,99,130],"nonlinear":[89],"networked":[90],"dynamical":[91],"system":[92],"skew-symmetric":[95],"structure,":[96],"whose":[97],"state":[98],"guaranteed":[100],"stay":[102],"on":[103,123],"sphere,":[105],"remain":[106],"nonnegative,":[107],"converge":[109],"asymptotically":[110],"said":[113],"eigenvector.":[114],"also":[116],"under":[119],"mild":[121],"assumption":[122],"gossiping":[125],"pattern,":[126],"able":[131],"do":[133],"same.":[135]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
