{"id":"https://openalex.org/W1965900415","doi":"https://doi.org/10.1080/10637199708915583","title":"CONVERGENCE, COMPLEXITY AND SIMULATION OF MONOTONE ASYNCHRONOUS ITERATIVE METHOD FOR COMPUTING FIXED POINT ON A DISTRIBUTED COMPUTER","display_name":"CONVERGENCE, COMPLEXITY AND SIMULATION OF MONOTONE ASYNCHRONOUS ITERATIVE METHOD FOR COMPUTING FIXED POINT ON A DISTRIBUTED COMPUTER","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1965900415","doi":"https://doi.org/10.1080/10637199708915583","mag":"1965900415"},"language":"en","primary_location":{"id":"doi:10.1080/10637199708915583","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199708915583","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192","1744-5760","1744-5779"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and Applications","raw_type":"journal-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/A5040560297","display_name":"Jie Hu","orcid":"https://orcid.org/0000-0002-5157-0172"},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"JIE HU","raw_affiliation_strings":["Graduate School of Information Science, Tohoku University, Sendai, 980, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science, Tohoku University, Sendai, 980, JAPAN","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012610908","display_name":"Tadao Nakamura","orcid":null},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"TADAO NAKAMURA","raw_affiliation_strings":["Graduate School of Information Science, Tohoku University, Sendai, 980, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science, Tohoku University, Sendai, 980, JAPAN","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065422134","display_name":"Lei Li","orcid":"https://orcid.org/0000-0003-1857-8233"},"institutions":[{"id":"https://openalex.org/I42144348","display_name":"Aomori University","ror":"https://ror.org/040qhpb54","country_code":"JP","type":"education","lineage":["https://openalex.org/I42144348"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"LEI LI","raw_affiliation_strings":["Department of Information System Engineering, Aomori University, Aomori, 030, JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information System Engineering, Aomori University, Aomori, 030, JAPAN","institution_ids":["https://openalex.org/I42144348"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10014205,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"1-2","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9950000047683716,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9950000047683716,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9825999736785889,"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/asynchronous-communication","display_name":"Asynchronous communication","score":0.9273664951324463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7533782720565796},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7218018174171448},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6583308577537537},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5908755660057068},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5756357908248901},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5256116390228271},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4252341389656067},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3586989641189575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35515785217285156},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3516719341278076},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3420255780220032},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3333514630794525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2041410505771637},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09001606702804565}],"concepts":[{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.9273664951324463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7533782720565796},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7218018174171448},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6583308577537537},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5908755660057068},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5756357908248901},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5256116390228271},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4252341389656067},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3586989641189575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35515785217285156},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3516719341278076},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3420255780220032},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3333514630794525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2041410505771637},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09001606702804565},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10637199708915583","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199708915583","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192","1744-5760","1744-5779"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1978564754","https://openalex.org/W2090963365","https://openalex.org/W2119380668","https://openalex.org/W2130321396","https://openalex.org/W2155143729","https://openalex.org/W4206566500","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W4297789459","https://openalex.org/W1585725267","https://openalex.org/W3194588123","https://openalex.org/W4308900592","https://openalex.org/W2351377961","https://openalex.org/W1942228078","https://openalex.org/W2086942802","https://openalex.org/W2046073294","https://openalex.org/W2170408898","https://openalex.org/W2164136545"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"by":[3,10,60],"using":[4],"the":[5,34,38],"asynchronous":[6,20,39,74],"iteration":[7],"model":[8],"presented":[9],"Bertsekas":[11],"[1],":[12],"a":[13,28,62,69,84],"sufficient":[14],"condition":[15],"for":[16,23],"monotone":[17],"convergence":[18,35],"of":[19,47,64],"iterative":[21,41],"methods":[22],"computing":[24],"fixed":[25],"points":[26],"on":[27],"distributed":[29,86],"computer":[30],"is":[31,43],"given":[32],"and":[33],"rate":[36],"shows":[37],"parallel":[40,75],"(method":[42],"superior":[44],"to":[45,71],"that":[46],"its":[48,52],"synchronous":[49],"counterpart":[50],"but":[51],"communication":[53,81],"complexity,":[54],"however,":[55],"can":[56,78],"be":[57],"worse.":[58],"Moreover,":[59],"producing":[61],"sequence":[63],"random":[65],"vectors,":[66],"we":[67],"present":[68],"method":[70],"simulate":[72],"an":[73],"environment":[76],"which":[77],"possess":[79],"arbitrary":[80],"delays":[82],"like":[83],"real":[85],"computer.":[87]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
