{"id":"https://openalex.org/W2784159481","doi":"https://doi.org/10.1145/3149457.3154481","title":"A Distributed and Parallel Asynchronous Unite and Conquer Method to Solve Large Scale Non-Hermitian Linear Systems","display_name":"A Distributed and Parallel Asynchronous Unite and Conquer Method to Solve Large Scale Non-Hermitian Linear Systems","publication_year":2018,"publication_date":"2018-01-12","ids":{"openalex":"https://openalex.org/W2784159481","doi":"https://doi.org/10.1145/3149457.3154481","mag":"2784159481"},"language":"en","primary_location":{"id":"doi:10.1145/3149457.3154481","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3149457.3154481","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01677110","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070784128","display_name":"Xinzhe Wu","orcid":"https://orcid.org/0000-0001-5716-3116"},"institutions":[{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I4210128565","display_name":"CEA Paris-Saclay","ror":"https://ror.org/03n15ch10","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210128565"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210125654","display_name":"Maison de la Simulation","ror":"https://ror.org/03jv6w209","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I195731000","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210113668","https://openalex.org/I4210125654","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Xinzhe Wu","raw_affiliation_strings":["Maison de la Simulation, CRIStAL, Sciences et Technologies, Gif-sur-Yvette, France","MDLS - Maison de la Simulation (USR 3441 b\u00e2t. 565 CEA Saclay 91191 Gif-sur-Yvette cedex - France)","CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)","CNRS - Centre National de la Recherche Scientifique (France)"],"affiliations":[{"raw_affiliation_string":"Maison de la Simulation, CRIStAL, Sciences et Technologies, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210125654"]},{"raw_affiliation_string":"MDLS - Maison de la Simulation (USR 3441 b\u00e2t. 565 CEA Saclay 91191 Gif-sur-Yvette cedex - France)","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210128565","https://openalex.org/I4210125654"]},{"raw_affiliation_string":"CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)","institution_ids":["https://openalex.org/I4210115519","https://openalex.org/I2279609970"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108528905","display_name":"Serge G. Petiton","orcid":"https://orcid.org/0000-0002-8423-3682"},"institutions":[{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I4210125654","display_name":"Maison de la Simulation","ror":"https://ror.org/03jv6w209","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I195731000","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210113668","https://openalex.org/I4210125654","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210128565","display_name":"CEA Paris-Saclay","ror":"https://ror.org/03n15ch10","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210128565"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Serge G. Petiton","raw_affiliation_strings":["Maison de la Simulation, CRIStAL, Sciences et Technologies, Gif-sur-Yvette, France","CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)","CNRS - Centre National de la Recherche Scientifique (France)","MDLS - Maison de la Simulation (USR 3441 b\u00e2t. 565 CEA Saclay 91191 Gif-sur-Yvette cedex - France)"],"affiliations":[{"raw_affiliation_string":"Maison de la Simulation, CRIStAL, Sciences et Technologies, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210125654"]},{"raw_affiliation_string":"CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)","institution_ids":["https://openalex.org/I4210115519","https://openalex.org/I2279609970"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"MDLS - Maison de la Simulation (USR 3441 b\u00e2t. 565 CEA Saclay 91191 Gif-sur-Yvette cedex - France)","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210128565","https://openalex.org/I4210125654"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070784128"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I2738703131","https://openalex.org/I4210115519","https://openalex.org/I4210125654","https://openalex.org/I4210128565"],"apc_list":null,"apc_paid":null,"fwci":1.0686,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78536677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"36","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11809","display_name":"Advanced NMR Techniques and Applications","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/computer-science","display_name":"Computer science","score":0.7768474817276001},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.7675638198852539},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.736899197101593},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.6881619691848755},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.625542402267456},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.592221736907959},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5020437240600586},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4344913065433502},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4302263855934143},{"id":"https://openalex.org/keywords/reusability","display_name":"Reusability","score":0.41079068183898926},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.37150996923446655},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3497292399406433},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3235197365283966},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3121221959590912},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.1603691279888153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12130644917488098}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7768474817276001},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.7675638198852539},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.736899197101593},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.6881619691848755},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.625542402267456},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.592221736907959},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5020437240600586},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4344913065433502},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4302263855934143},{"id":"https://openalex.org/C137981799","wikidata":"https://www.wikidata.org/wiki/Q1369184","display_name":"Reusability","level":3,"score":0.41079068183898926},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.37150996923446655},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3497292399406433},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3235197365283966},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3121221959590912},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.1603691279888153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12130644917488098},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3149457.3154481","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3149457.3154481","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01677110v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01677110","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"HPC Asia 2018 - International Conference on High Performance Computing in Asia-Pacific Region, Jan 2018, Tokyo, Japan. ⟨10.1145/3149457.3154481⟩","raw_type":"Conference papers"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/23710","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/23710","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01677110v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01677110","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"HPC Asia 2018 - International Conference on High Performance Computing in Asia-Pacific Region, Jan 2018, Tokyo, Japan. ⟨10.1145/3149457.3154481⟩","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6432502979","display_name":null,"funder_award_id":"ANR-15-SPPE-003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320329300","display_name":"Centre de Calcul de R\u00e9gional ROMEO","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W90568776","https://openalex.org/W101236918","https://openalex.org/W164251211","https://openalex.org/W1968027854","https://openalex.org/W1969468690","https://openalex.org/W1976097264","https://openalex.org/W1977631509","https://openalex.org/W1980431326","https://openalex.org/W2023488486","https://openalex.org/W2047344035","https://openalex.org/W2050930161","https://openalex.org/W2051133095","https://openalex.org/W2057141432","https://openalex.org/W2083676493","https://openalex.org/W2105195072","https://openalex.org/W2123102101","https://openalex.org/W2127190985","https://openalex.org/W2140153041","https://openalex.org/W2262294752","https://openalex.org/W2280592497","https://openalex.org/W2480854438","https://openalex.org/W2552539222","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2106635645","https://openalex.org/W2074780612","https://openalex.org/W1596255161","https://openalex.org/W2032899988","https://openalex.org/W2069496135","https://openalex.org/W2524243948","https://openalex.org/W1751968827","https://openalex.org/W1966164811","https://openalex.org/W2789837637","https://openalex.org/W4388044969"],"abstract_inverted_index":{"Parallel":[0],"Krylov":[1],"Subspace":[2],"Methods":[3],"are":[4],"commonly":[5],"used":[6],"for":[7,90],"solving":[8],"large-scale":[9],"sparse":[10],"linear":[11,62],"systems.":[12],"Facing":[13],"the":[14,20,58,87,91],"development":[15,39],"of":[16,22,40,60,98],"extreme":[17],"scale":[18],"platforms,":[19],"minimization":[21],"synchronous":[23],"global":[24],"communication":[25,55],"becomes":[26],"critical":[27],"to":[28,56,65,80],"obtain":[29],"good":[30],"efficiency":[31],"and":[32,44,64,70,83],"scalability.":[33],"This":[34],"paper":[35],"highlights":[36],"a":[37,41],"recent":[38],"hybrid":[42],"(unite":[43],"conquer)":[45],"method,":[46],"which":[47],"combines":[48],"three":[49],"computation":[50],"algorithms":[51],"together":[52],"with":[53,96],"asynchronous":[54],"accelerate":[57],"resolution":[59,92],"non-Hermitian":[61],"systems":[63],"improve":[66],"its":[67],"fault":[68],"tolerance":[69],"reusability.":[71],"Experimentation":[72],"shows":[73],"that":[74],"our":[75],"method":[76],"has":[77],"an":[78],"up":[79],"5x":[81],"speedup":[82],"better":[84],"scalability":[85],"than":[86],"conventional":[88],"methods":[89],"on":[93],"hierarchical":[94],"clusters":[95],"hundreds":[97],"nodes.":[99]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}