{"id":"https://openalex.org/W2086398297","doi":"https://doi.org/10.1016/s0167-8191(02)00161-8","title":"On parallel block algorithms for exact triangularizations","display_name":"On parallel block algorithms for exact triangularizations","publication_year":2002,"publication_date":"2002-11-01","ids":{"openalex":"https://openalex.org/W2086398297","doi":"https://doi.org/10.1016/s0167-8191(02)00161-8","mag":"2086398297"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8191(02)00161-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8191(02)00161-8","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel 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/A5091337059","display_name":"Jean\u2010Guillaume Dumas","orcid":"https://orcid.org/0000-0002-2591-172X"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Guillaume Dumas","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation et Calcul, B.P. 53-51, av. des Math\u00e9matiques, 38041 Grenoble, France","Laboratoire de Mod\u00e9lisation et Calcul, B.P. 53-51, av. des Math\u00e9matiques, 38041 Grenoble, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Calcul, B.P. 53-51, av. des Math\u00e9matiques, 38041 Grenoble, France","institution_ids":["https://openalex.org/I4210155549"]},{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Calcul, B.P. 53-51, av. des Math\u00e9matiques, 38041 Grenoble, France#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031039633","display_name":"Jean-Louis Roch","orcid":null},"institutions":[{"id":"https://openalex.org/I4390039363","display_name":"Infection et inflammation","ror":"https://ror.org/021sh3243","country_code":null,"type":"facility","lineage":["https://openalex.org/I154526488","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4390039363"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Louis Roch","raw_affiliation_strings":["Laboratoire Informatique et Distribution projet APACHE, CNRS\u2013INRIA\u2013INPG\u2013UJF, ZIRST\u2013\u201351, av. Jean Kuntzmann, 38330 Montbonnot Saint-Martin, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Informatique et Distribution projet APACHE, CNRS\u2013INRIA\u2013INPG\u2013UJF, ZIRST\u2013\u201351, av. Jean Kuntzmann, 38330 Montbonnot Saint-Martin, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590","https://openalex.org/I4390039363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091337059"],"corresponding_institution_ids":["https://openalex.org/I4210155549"],"apc_list":{"value":2680,"currency":"USD","value_usd":2680},"apc_paid":null,"fwci":0.3498,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.58050389,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"11","first_page":"1531","last_page":"1548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9993000030517578,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9993000030517578,"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/T11130","display_name":"Coding theory and cryptography","score":0.9979000091552734,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/algorithm","display_name":"Algorithm","score":0.643419623374939},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5780549049377441},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5481883883476257},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.5450451970100403},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5218507051467896},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.513999879360199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48642969131469727},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4836329221725464},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.44068199396133423},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4396815598011017},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.439674973487854},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.4373735785484314},{"id":"https://openalex.org/keywords/numerical-linear-algebra","display_name":"Numerical linear algebra","score":0.4215836822986603},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.420657217502594},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39155861735343933},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.38463425636291504},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.16655173897743225},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08637470006942749}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.643419623374939},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5780549049377441},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5481883883476257},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.5450451970100403},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5218507051467896},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.513999879360199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48642969131469727},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4836329221725464},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.44068199396133423},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4396815598011017},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.439674973487854},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4373735785484314},{"id":"https://openalex.org/C163834973","wikidata":"https://www.wikidata.org/wiki/Q2004891","display_name":"Numerical linear algebra","level":3,"score":0.4215836822986603},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.420657217502594},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39155861735343933},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.38463425636291504},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.16655173897743225},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08637470006942749},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0167-8191(02)00161-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8191(02)00161-8","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.329.9090","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.329.9090","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/Publications/PC_turbo.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-02018773v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02018773","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Parallel Computing, 2002, 28 (11), pp.1531-1548. &#x27E8;10.1016/S0167-8191(02)00161-8&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W125332172","https://openalex.org/W208025404","https://openalex.org/W1509342228","https://openalex.org/W1511577203","https://openalex.org/W1581008104","https://openalex.org/W1594960997","https://openalex.org/W1598093578","https://openalex.org/W1655990431","https://openalex.org/W1813030236","https://openalex.org/W1957100706","https://openalex.org/W1979740015","https://openalex.org/W2002257715","https://openalex.org/W2013121458","https://openalex.org/W2029504359","https://openalex.org/W2035476608","https://openalex.org/W2051334793","https://openalex.org/W2055808951","https://openalex.org/W2060437845","https://openalex.org/W2068264871","https://openalex.org/W2077725083","https://openalex.org/W2085819076","https://openalex.org/W2092118558","https://openalex.org/W2104680817","https://openalex.org/W2120490947","https://openalex.org/W2128687423","https://openalex.org/W2610884651","https://openalex.org/W6608505231","https://openalex.org/W6640832672","https://openalex.org/W6820634450"],"related_works":["https://openalex.org/W1610354793","https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W4239424132","https://openalex.org/W2078863749","https://openalex.org/W2596457687"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
