{"id":"https://openalex.org/W2047096655","doi":"https://doi.org/10.1080/10637199808947370","title":"BLOCK-JACOBI SVD ALGORITHMS FOR DISTRIBUTED MEMORY SYSTEMS I: HYPERCUBES AND RINGS*","display_name":"BLOCK-JACOBI SVD ALGORITHMS FOR DISTRIBUTED MEMORY SYSTEMS I: HYPERCUBES AND RINGS*","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2047096655","doi":"https://doi.org/10.1080/10637199808947370","mag":"2047096655"},"language":"en","primary_location":{"id":"doi:10.1080/10637199808947370","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199808947370","pdf_url":null,"source":{"id":"https://openalex.org/S89732838","display_name":"Parallel algorithms and applications","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and Applications","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"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"MARTIN BE\u010cKA","raw_affiliation_strings":["Institute for Informatics, Slovak Academy of Sciences , P.O. Box 56, Bratislava, 84000, Slovakia"],"affiliations":[{"raw_affiliation_string":"Institute for Informatics, Slovak Academy of Sciences , P.O. Box 56, Bratislava, 84000, Slovakia","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/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":"MARI\u00c1N VAJTER\u0160IC","raw_affiliation_strings":["Institute for Informatics, Slovak Academy of Sciences , P.O. Box 56, Bratislava, 84000, Slovakia"],"affiliations":[{"raw_affiliation_string":"Institute for Informatics, Slovak Academy of Sciences , P.O. Box 56, Bratislava, 84000, Slovakia","institution_ids":["https://openalex.org/I207624831"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022662194"],"corresponding_institution_ids":["https://openalex.org/I207624831"],"apc_list":null,"apc_paid":null,"fwci":2.319,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.89743873,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"3","first_page":"265","last_page":"287"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mimd","display_name":"MIMD","score":0.856711208820343},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.8327434659004211},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7055255174636841},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6593983173370361},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5591236352920532},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5514633059501648},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5480378866195679},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.44301629066467285},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.44270309805870056},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.42589762806892395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23757386207580566},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12559112906455994}],"concepts":[{"id":"https://openalex.org/C21032095","wikidata":"https://www.wikidata.org/wiki/Q1149237","display_name":"MIMD","level":2,"score":0.856711208820343},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8327434659004211},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7055255174636841},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6593983173370361},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5591236352920532},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5514633059501648},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5480378866195679},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.44301629066467285},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.44270309805870056},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.42589762806892395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23757386207580566},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12559112906455994},{"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10637199808947370","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199808947370","pdf_url":null,"source":{"id":"https://openalex.org/S89732838","display_name":"Parallel algorithms and applications","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1966541833","https://openalex.org/W1981401525","https://openalex.org/W1984905648","https://openalex.org/W1997259299","https://openalex.org/W2042123940","https://openalex.org/W2052501068","https://openalex.org/W2078841894","https://openalex.org/W2089187870","https://openalex.org/W2093637157","https://openalex.org/W2117026915","https://openalex.org/W2154401678","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W2513846324","https://openalex.org/W1538056909","https://openalex.org/W1984807396","https://openalex.org/W2143594203","https://openalex.org/W2164472685","https://openalex.org/W2115632251","https://openalex.org/W2380486102","https://openalex.org/W2068183895","https://openalex.org/W2018438084","https://openalex.org/W2318278047"],"abstract_inverted_index":{"The":[0,72],"paper":[1],"presents":[2],"parallel":[3,66],"algorithms":[4,73],"for":[5,49,65,102],"efficient":[6],"solution":[7],"of":[8,24,47,58,60,68,81,107],"the":[9,16,25,30,56,69,77,82,104],"Singular":[10],"Value":[11],"Decomposition":[12],"(SVD)":[13],"problem":[14],"by":[15],"block":[17],"two-sided":[18],"Jacobi":[19],"method.":[20],"In":[21],"this":[22],"part":[23],"work,":[26],"we":[27],"show":[28],"how":[29],"method":[31],"may":[32],"be":[33,87],"used":[34],"on":[35,52,90,94],"MIMD":[36],"computers":[37],"with":[38],"hypercube":[39,78],"and":[40,63,100],"ring":[41],"topologies.":[42],"We":[43],"analyse":[44],"three":[45,105],"types":[46,106],"orderings":[48],"solving":[50],"SVD":[51],"block-structured":[53],"submatrices":[54],"from":[55],"point":[57],"view":[59],"communication":[61],"requirements":[62],"suitability":[64],"execution":[67],"computational":[70],"process":[71],"map":[74],"well":[75],"onto":[76],"topology.":[79],"Two":[80],"ordering":[83],"schemes":[84],"can":[85],"also":[86],"directly":[88],"implemented":[89],"rings.":[91],"Results":[92],"obtained":[93],"an":[95],"Intel":[96],"Paragon":[97],"are":[98],"shown":[99],"discussed":[101],"all":[103],"orderings.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
