{"id":"https://openalex.org/W2018769082","doi":"https://doi.org/10.1016/s0167-8191(01)00138-7","title":"Dynamic ordering for a parallel block-Jacobi SVD algorithm","display_name":"Dynamic ordering for a parallel block-Jacobi SVD algorithm","publication_year":2002,"publication_date":"2002-02-01","ids":{"openalex":"https://openalex.org/W2018769082","doi":"https://doi.org/10.1016/s0167-8191(01)00138-7","mag":"2018769082"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8191(01)00138-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8191(01)00138-7","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/A5071095308","display_name":"Martin Be\u010dka","orcid":null},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]},{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"M Be\u010dka","raw_affiliation_strings":["Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic","Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic#TAB#","institution_ids":["https://openalex.org/I207624831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087514732","display_name":"Gabriel Ok\u0161a","orcid":"https://orcid.org/0000-0003-3735-0322"},"institutions":[{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"G Ok\u0161a","raw_affiliation_strings":["Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic","Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic#TAB#","institution_ids":["https://openalex.org/I207624831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022662194","display_name":"Mari\u00e1n Vajter\u0161ic","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"M Vajter\u0161ic","raw_affiliation_strings":["Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic","Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, P.O. Box 56, 840 00 Bratislava, Slovak Republic#TAB#","institution_ids":["https://openalex.org/I207624831"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087514732"],"corresponding_institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"],"apc_list":{"value":2680,"currency":"USD","value_usd":2680},"apc_paid":null,"fwci":1.4,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.80073453,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"28","issue":"2","first_page":"243","last_page":"262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9889000058174133,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9887999892234802,"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/singular-value-decomposition","display_name":"Singular value decomposition","score":0.7083528637886047},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.6337775588035583},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.628267765045166},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.621568500995636},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5964756011962891},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.561740517616272},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.5275684595108032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5230004191398621},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49400001764297485},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4924856126308441},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.44572344422340393},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.4430195689201355},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.44299957156181335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3524104952812195},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3256348967552185},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.18576666712760925},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1581733226776123},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.09064707159996033}],"concepts":[{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.7083528637886047},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.6337775588035583},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.628267765045166},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.621568500995636},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5964756011962891},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.561740517616272},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.5275684595108032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5230004191398621},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49400001764297485},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4924856126308441},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.44572344422340393},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4430195689201355},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.44299957156181335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3524104952812195},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3256348967552185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.18576666712760925},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1581733226776123},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.09064707159996033},{"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},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-8191(01)00138-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8191(01)00138-7","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320312330","display_name":"Slovensk\u00e1 Akad\u00e9mia Vied","ror":"https://ror.org/03h7qq074"},{"id":"https://openalex.org/F4320323641","display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV","ror":"https://ror.org/044gwpv05"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W107699636","https://openalex.org/W141418607","https://openalex.org/W1480903242","https://openalex.org/W1480928214","https://openalex.org/W1576347883","https://openalex.org/W1608597327","https://openalex.org/W1760551737","https://openalex.org/W1977697902","https://openalex.org/W2013737143","https://openalex.org/W2042123940","https://openalex.org/W2047096655","https://openalex.org/W2054420170","https://openalex.org/W2065531219","https://openalex.org/W2078003433","https://openalex.org/W2088190196","https://openalex.org/W2093637157","https://openalex.org/W2095817904","https://openalex.org/W2120062331","https://openalex.org/W2134779330","https://openalex.org/W2798909945","https://openalex.org/W2801179766","https://openalex.org/W2914940273","https://openalex.org/W3022136271","https://openalex.org/W4210758999","https://openalex.org/W4301491118"],"related_works":["https://openalex.org/W4319586039","https://openalex.org/W4382583540","https://openalex.org/W1607100495","https://openalex.org/W2147072251","https://openalex.org/W1990844505","https://openalex.org/W2148568324","https://openalex.org/W4386721910","https://openalex.org/W4378770618","https://openalex.org/W2164147222","https://openalex.org/W2038393145"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-10T00:00:00"}