{"id":"https://openalex.org/W2100087963","doi":"https://doi.org/10.1137/0914035","title":"A Parallel Algorithm for the Nonsymmetric Eigenvalue Problem","display_name":"A Parallel Algorithm for the Nonsymmetric Eigenvalue Problem","publication_year":1993,"publication_date":"1993-05-01","ids":{"openalex":"https://openalex.org/W2100087963","doi":"https://doi.org/10.1137/0914035","mag":"2100087963"},"language":"en","primary_location":{"id":"doi:10.1137/0914035","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0914035","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5075517045","display_name":"Jack Dongarra","orcid":"https://orcid.org/0000-0003-3247-1782"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]},{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jack J. Dongarra","raw_affiliation_strings":["Mathematical Sciences Section Oak Ridge National Laboratory Oak Ridge, TN 37831","Oak Ridge National Laboratory \" Oak Ridge, TN 37831-6367","ComputerScience Department University of Tennessee Knoxville, TN 37996 and Mathematical Sciences Section \u2022 Engineering Physics and Mathematics P.O. Box 2008, Bldg. 6012","Computer Science Department University of Tennessee Knoxville, TN 37996-1301"],"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Section Oak Ridge National Laboratory Oak Ridge, TN 37831","institution_ids":["https://openalex.org/I1289243028"]},{"raw_affiliation_string":"Oak Ridge National Laboratory \" Oak Ridge, TN 37831-6367","institution_ids":[]},{"raw_affiliation_string":"ComputerScience Department University of Tennessee Knoxville, TN 37996 and Mathematical Sciences Section \u2022 Engineering Physics and Mathematics P.O. Box 2008, Bldg. 6012","institution_ids":[]},{"raw_affiliation_string":"Computer Science Department University of Tennessee Knoxville, TN 37996-1301","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085176829","display_name":"Majed Sidani","orcid":null},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]},{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Majed Sidani","raw_affiliation_strings":["Computer Science Department University of Tennessee Knoxville, TN 37996-1301","Oak Ridge National Laboratory \" Oak Ridge, TN 37831-6367","Mathematical Sciences Section Oak Ridge National Laboratory Oak Ridge, TN 37831","ComputerScience Department University of Tennessee Knoxville, TN 37996 and Mathematical Sciences Section \u2022 Engineering Physics and Mathematics P.O. Box 2008, Bldg. 6012"],"affiliations":[{"raw_affiliation_string":"Computer Science Department University of Tennessee Knoxville, TN 37996-1301","institution_ids":["https://openalex.org/I75027704"]},{"raw_affiliation_string":"Oak Ridge National Laboratory \" Oak Ridge, TN 37831-6367","institution_ids":[]},{"raw_affiliation_string":"Mathematical Sciences Section Oak Ridge National Laboratory Oak Ridge, TN 37831","institution_ids":["https://openalex.org/I1289243028"]},{"raw_affiliation_string":"ComputerScience Department University of Tennessee Knoxville, TN 37996 and Mathematical Sciences Section \u2022 Engineering Physics and Mathematics P.O. Box 2008, Bldg. 6012","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075517045"],"corresponding_institution_ids":["https://openalex.org/I1289243028","https://openalex.org/I75027704"],"apc_list":null,"apc_paid":null,"fwci":3.1282,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.92152013,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"3","first_page":"542","last_page":"569"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9975000023841858,"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":0.9975000023841858,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9775000214576721,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9596999883651733,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7887934446334839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7305388450622559},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6350091695785522},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5556954145431519},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.5076254606246948},{"id":"https://openalex.org/keywords/divide-and-conquer-algorithms","display_name":"Divide and conquer algorithms","score":0.47470608353614807},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.441838800907135},{"id":"https://openalex.org/keywords/divide-and-conquer-eigenvalue-algorithm","display_name":"Divide-and-conquer eigenvalue algorithm","score":0.4177935719490051}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7887934446334839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7305388450622559},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6350091695785522},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5556954145431519},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.5076254606246948},{"id":"https://openalex.org/C71559656","wikidata":"https://www.wikidata.org/wiki/Q671298","display_name":"Divide and conquer algorithms","level":2,"score":0.47470608353614807},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.441838800907135},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.4177935719490051},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/0914035","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0914035","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.140.6842","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.6842","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.netlib.org/utk/people/JackDongarra/pdf/ut-cs-91-137.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G788607834","display_name":"Center for Research on Parallel Computation","funder_award_id":"8809615","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8186517092","display_name":null,"funder_award_id":"CCR-8809615","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8214462177","display_name":null,"funder_award_id":"DE-ACOS-840R21400","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338287","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W141418607","https://openalex.org/W202654784","https://openalex.org/W1975721804","https://openalex.org/W2010464263","https://openalex.org/W2015632604","https://openalex.org/W2022241871","https://openalex.org/W2023799556","https://openalex.org/W2048056120","https://openalex.org/W2049460408","https://openalex.org/W2054188927","https://openalex.org/W2058221770","https://openalex.org/W2093429334","https://openalex.org/W2105433369","https://openalex.org/W2617854063","https://openalex.org/W4210518289","https://openalex.org/W4300934284"],"related_works":["https://openalex.org/W46293795","https://openalex.org/W2350895707","https://openalex.org/W2014626854","https://openalex.org/W2963566796","https://openalex.org/W2383221329","https://openalex.org/W2364889976","https://openalex.org/W4285722889","https://openalex.org/W2040482695","https://openalex.org/W2051533026","https://openalex.org/W2776155623"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"a":[3,13,21],"parallel":[4],"algorithm":[5,17],"for":[6],"computing":[7],"the":[8],"eigenvalues":[9],"and":[10,24],"eigenvectors":[11],"of":[12],"nonsymmetric":[14],"matrix.":[15],"The":[16],"is":[18],"based":[19],"on":[20],"divide-and-conquer":[22],"procedure":[23],"uses":[25],"an":[26],"iterative":[27],"refinement":[28],"technique.":[29]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}