{"id":"https://openalex.org/W2049032382","doi":"https://doi.org/10.1145/318789.318894","title":"Convergence rate and termination of asynchronous iterative algorithms","display_name":"Convergence rate and termination of asynchronous iterative algorithms","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W2049032382","doi":"https://doi.org/10.1145/318789.318894","mag":"2049032382"},"language":"en","primary_location":{"id":"doi:10.1145/318789.318894","is_oa":false,"landing_page_url":"https://doi.org/10.1145/318789.318894","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 3rd international conference on Supercomputing - ICS '89","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1721.1/3143","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039911471","display_name":"Dimitri P. Bertsekas","orcid":"https://orcid.org/0000-0001-6909-7208"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitri P. Bertsekas","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA","Laboratory for Information & Decision Systems, Massachusetts Institute of Technology, Cambridge, MA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information & Decision Systems, Massachusetts Institute of Technology, Cambridge, MA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108523422","display_name":"John N. Tsitsiklis","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John N. Tsitsiklis","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA","Laboratory for Information & Decision Systems, Massachusetts Institute of Technology, Cambridge, MA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information & Decision Systems, Massachusetts Institute of Technology, Cambridge, MA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"461","last_page":"470"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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":0.9995999932289124,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9993000030517578,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.8917415142059326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7597955465316772},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6615958213806152},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.656333327293396},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.647072434425354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6300173997879028},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5234375},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5063570737838745},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.49678829312324524},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.4788263142108917},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.43614330887794495},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.39671576023101807},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3321942687034607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1719971001148224},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08548057079315186}],"concepts":[{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.8917415142059326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7597955465316772},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6615958213806152},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.656333327293396},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.647072434425354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6300173997879028},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5234375},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5063570737838745},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.49678829312324524},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.4788263142108917},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.43614330887794495},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.39671576023101807},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3321942687034607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1719971001148224},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08548057079315186},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/318789.318894","is_oa":false,"landing_page_url":"https://doi.org/10.1145/318789.318894","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 3rd international conference on Supercomputing - ICS '89","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.83.2026","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.83.2026","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dspace.mit.edu/bitstream/1721.1/3143/1/P-1888-20287036.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/3143","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/3143","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/3143","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/3143","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1511021914","https://openalex.org/W1515454403","https://openalex.org/W1603765807","https://openalex.org/W2013173096","https://openalex.org/W2039185176","https://openalex.org/W2091738950","https://openalex.org/W2114301203","https://openalex.org/W2155143729"],"related_works":["https://openalex.org/W4297819361","https://openalex.org/W1491017262","https://openalex.org/W1494824878","https://openalex.org/W4294338060","https://openalex.org/W2473609169","https://openalex.org/W2329573185","https://openalex.org/W2084415399","https://openalex.org/W2351377961","https://openalex.org/W1942228078","https://openalex.org/W2086942802"],"abstract_inverted_index":{"We":[0,18,52,82],"consider":[1],"iterative":[2],"algorithms":[3,61],"of":[4,31,50,59,70,99],"the":[5,38,47,56,67,71,77,100],"form":[6],"x":[7],":=":[8],"\u0192(x),":[9],"executed":[10],"by":[11],"a":[12,28,64],"parallel":[13],"or":[14],"distributed":[15],"computing":[16],"system.":[17],"focus":[19],"on":[20,27,46,55,86],"asynchronous":[21,90],"implementations":[22],"whereby":[23],"each":[24],"processor":[25],"iterates":[26],"different":[29],"component":[30],"x,":[32],"at":[33],"its":[34],"own":[35],"pace,":[36],"using":[37],"most":[39],"recently":[40],"received":[41],"(but":[42],"possibly":[43],"outdated)":[44],"information":[45],"remaining":[48],"components":[49],"x.":[51],"provide":[53],"results":[54,85],"convergence":[57,68],"rate":[58,69],"such":[60],"and":[62],"make":[63],"comparison":[65],"with":[66,95],"corresponding":[72],"synchronous":[73],"methods":[74],"in":[75,80,92],"which":[76],"computation":[78],"proceeds":[79],"phases.":[81],"also":[83],"present":[84],"how":[87],"to":[88],"terminate":[89],"iterations":[91],"finite":[93],"time":[94],"an":[96],"approximate":[97],"solution":[98],"computational":[101],"problem":[102],"under":[103],"consideration.":[104]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-19T07:52:34.831488","created_date":"2025-10-10T00:00:00"}
