{"id":"https://openalex.org/W2003005395","doi":"https://doi.org/10.1002/(sici)1096-9128(199707)9:7<697::aid-cpe263>3.0.co;2-q","title":"Performance modeling of dense Cholesky factorization on the MasPar MP-2","display_name":"Performance modeling of dense Cholesky factorization on the MasPar MP-2","publication_year":1997,"publication_date":"1997-07-01","ids":{"openalex":"https://openalex.org/W2003005395","doi":"https://doi.org/10.1002/(sici)1096-9128(199707)9:7<697::aid-cpe263>3.0.co;2-q","mag":"2003005395"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1096-9128(199707)9:7<697::aid-cpe263>3.0.co;2-q","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1096-9128(199707)9:7<697::aid-cpe263>3.0.co;2-q","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291096-9128%28199707%299%3A7%3C697%3A%3AAID-CPE263%3E3.0.CO%3B2-Q","source":{"id":"https://openalex.org/S4210209928","display_name":"Concurrency Practice and Experience","issn_l":"1040-3108","issn":["1040-3108","1096-9128"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Concurrency: Practice and Experience","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291096-9128%28199707%299%3A7%3C697%3A%3AAID-CPE263%3E3.0.CO%3B2-Q","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101946939","display_name":"V. Garg","orcid":"https://orcid.org/0009-0008-7589-2943"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"V. Garg","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0250, USA","School of Electrical and Computer Engineering Georgia Institute of Technology Atlanta GA 30332-0250 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0250, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering Georgia Institute of Technology Atlanta GA 30332-0250 USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004759725","display_name":"D.E. Schimmel","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. E. Schimmel","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0250, USA","School of Electrical and Computer Engineering Georgia Institute of Technology Atlanta GA 30332-0250 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0250, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering Georgia Institute of Technology Atlanta GA 30332-0250 USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101946939"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11528985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"7","first_page":"697","last_page":"719"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.8827999830245972,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.8827999830245972,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.8159999847412109,"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/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.9213238954544067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7836644649505615},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.7798500061035156},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.7010241150856018},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6515118479728699},{"id":"https://openalex.org/keywords/simd","display_name":"SIMD","score":0.6260239481925964},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5722564458847046},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.5640884041786194},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.557274341583252},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.5224044322967529},{"id":"https://openalex.org/keywords/block-size","display_name":"Block size","score":0.4835736155509949},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42567190527915955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1574365496635437},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.07366964221000671},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07316917181015015},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0722929835319519}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.9213238954544067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7836644649505615},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.7798500061035156},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.7010241150856018},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6515118479728699},{"id":"https://openalex.org/C150552126","wikidata":"https://www.wikidata.org/wiki/Q339387","display_name":"SIMD","level":2,"score":0.6260239481925964},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5722564458847046},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.5640884041786194},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.557274341583252},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.5224044322967529},{"id":"https://openalex.org/C41431624","wikidata":"https://www.wikidata.org/wiki/Q1053357","display_name":"Block size","level":3,"score":0.4835736155509949},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42567190527915955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1574365496635437},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.07366964221000671},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07316917181015015},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0722929835319519},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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},{"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:10.1002/(sici)1096-9128(199707)9:7<697::aid-cpe263>3.0.co;2-q","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1096-9128(199707)9:7<697::aid-cpe263>3.0.co;2-q","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291096-9128%28199707%299%3A7%3C697%3A%3AAID-CPE263%3E3.0.CO%3B2-Q","source":{"id":"https://openalex.org/S4210209928","display_name":"Concurrency Practice and Experience","issn_l":"1040-3108","issn":["1040-3108","1096-9128"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Concurrency: Practice and Experience","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1002/(sici)1096-9128(199707)9:7<697::aid-cpe263>3.0.co;2-q","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1096-9128(199707)9:7<697::aid-cpe263>3.0.co;2-q","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291096-9128%28199707%299%3A7%3C697%3A%3AAID-CPE263%3E3.0.CO%3B2-Q","source":{"id":"https://openalex.org/S4210209928","display_name":"Concurrency Practice and Experience","issn_l":"1040-3108","issn":["1040-3108","1096-9128"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Concurrency: Practice and Experience","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320307762","display_name":"International Business Machines Corporation","ror":"https://ror.org/05hh8d621"},{"id":"https://openalex.org/F4320332377","display_name":"Goddard Space Flight Center","ror":"https://ror.org/0171mag52"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2003005395.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2078637543","https://openalex.org/W2986384163","https://openalex.org/W3022256543","https://openalex.org/W898189783","https://openalex.org/W4234447426","https://openalex.org/W1977632218","https://openalex.org/W4367461038","https://openalex.org/W1594594900","https://openalex.org/W1598598610","https://openalex.org/W4300806383"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"study":[4],"various":[5],"implementations":[6,36,100],"of":[7,37,55,62],"Cholesky":[8],"factorization":[9],"on":[10,18],"SIMD":[11],"architectures.":[12],"A":[13],"submatrix":[14],"algorithm":[15,39],"is":[16,58,86],"implemented":[17],"the":[19,38,49,63,78,93,102],"MasPar":[20],"MP-2":[21,50],"using":[22],"both":[23],"block":[24,103],"and":[25,31,45,68,73,80,89],"torus-wrap":[26,98],"data":[27],"mappings.":[28],"Both":[29],"LLT":[30,113],"LDLT":[32,110],"(square":[33],"root":[34],"free)":[35],"are":[40,51,95],"investigated.":[41],"The":[42,53,97,109],"execution":[43],"times":[44],"performance":[46,54,94],"results":[47],"for":[48,77,83,105,114],"presented.":[52],"these":[56,84],"algorithms":[57,85],"characterized":[59],"in":[60],"terms":[61],"problem":[64,107,118],"size,":[65],"machine":[66,70],"size":[67],"other":[69],"dependent":[71],"communication":[72,79],"computation":[74,81],"parameters.":[75],"Analysis":[76],"complexities":[82],"also":[87],"presented,":[88],"models":[90],"to":[91,116],"predict":[92],"derived.":[96],"mapped":[99],"outperformed":[101,112],"approach":[104],"all":[106],"sizes.":[108,119],"implementation":[111],"small":[115],"medium":[117],"\u00a9":[120],"1997":[121],"John":[122],"Wiley":[123],"&":[124],"Sons,":[125],"Ltd.":[126]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
