{"id":"https://openalex.org/W162604632","doi":"https://doi.org/10.1007/978-1-4471-2437-5_9","title":"Parallel Block-Jacobi SVD Methods","display_name":"Parallel Block-Jacobi SVD Methods","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W162604632","doi":"https://doi.org/10.1007/978-1-4471-2437-5_9","mag":"162604632"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4471-2437-5_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-2437-5_9","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"High-Performance Scientific Computing","raw_type":"book-chapter"},"type":"book-chapter","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":"government","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":"Martin Be\u010dka","raw_affiliation_strings":["Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","Slovak Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Slovak Academy of Sciences","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/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"government","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":"Gabriel Ok\u0161a","raw_affiliation_strings":["Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","Slovak Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Slovak Academy of Sciences","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/I182212641","display_name":"University of Salzburg","ror":"https://ror.org/05gs8cd61","country_code":"AT","type":"education","lineage":["https://openalex.org/I182212641"]},{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"government","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":["AT","SK"],"is_corresponding":false,"raw_author_name":"Mari\u00e1n Vajter\u0161ic","raw_affiliation_strings":["Department of Computer Sciences, University of Salzburg, Salzburg, Austria","Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","Slovak Academy of Sciences","University of Salzburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, University of Salzburg, Salzburg, Austria","institution_ids":["https://openalex.org/I182212641"]},{"raw_affiliation_string":"Mathematical Institute, Department of Informatics, Slovak Academy of Sciences, Bratislava, Slovak Republic","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Slovak Academy of Sciences","institution_ids":["https://openalex.org/I207624831"]},{"raw_affiliation_string":"University of Salzburg","institution_ids":["https://openalex.org/I182212641"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7696,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68236878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"185","last_page":"197"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9787999987602234,"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":0.7677590847015381},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.7509317994117737},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.6792150735855103},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6344517469406128},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.6338499188423157},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6067219376564026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6054010987281799},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5624534487724304},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.534287691116333},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.533193826675415},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5208328366279602},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45241332054138184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30953794717788696},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.24091166257858276},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11993756890296936},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1130128800868988}],"concepts":[{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.7677590847015381},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.7509317994117737},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.6792150735855103},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6344517469406128},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.6338499188423157},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6067219376564026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6054010987281799},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5624534487724304},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.534287691116333},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.533193826675415},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5208328366279602},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45241332054138184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30953794717788696},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.24091166257858276},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11993756890296936},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1130128800868988},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4471-2437-5_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-2437-5_9","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"High-Performance Scientific Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1575701986","https://openalex.org/W1760551737","https://openalex.org/W1974995700","https://openalex.org/W1977697902","https://openalex.org/W1981265672","https://openalex.org/W1981745143","https://openalex.org/W2003670573","https://openalex.org/W2016579417","https://openalex.org/W2018769082","https://openalex.org/W2020828929","https://openalex.org/W2047096655","https://openalex.org/W2057670526","https://openalex.org/W2065531219","https://openalex.org/W2077166865","https://openalex.org/W2077270836","https://openalex.org/W2798909945","https://openalex.org/W4210758999","https://openalex.org/W4230252700","https://openalex.org/W4242722506","https://openalex.org/W4301491118"],"related_works":["https://openalex.org/W4319586039","https://openalex.org/W4382583540","https://openalex.org/W1607100495","https://openalex.org/W1990844505","https://openalex.org/W2148568324","https://openalex.org/W4386721910","https://openalex.org/W4378770618","https://openalex.org/W2164147222","https://openalex.org/W2038393145","https://openalex.org/W2166314501"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
