{"id":"https://openalex.org/W2142496304","doi":"https://doi.org/10.1137/080733243","title":"Cache-Oblivious Sparse Matrix\u2013Vector Multiplication by Using Sparse Matrix Partitioning Methods","display_name":"Cache-Oblivious Sparse Matrix\u2013Vector Multiplication by Using Sparse Matrix Partitioning Methods","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2142496304","doi":"https://doi.org/10.1137/080733243","mag":"2142496304"},"language":"en","primary_location":{"id":"doi:10.1137/080733243","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080733243","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/123456789/319143","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012014394","display_name":"Albert-Jan N. Yzelman","orcid":"https://orcid.org/0000-0001-8842-3689"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. N. Yzelman","raw_affiliation_strings":["A.N.Yzelman@uu.nl and R.H.Bisseling@uu.nl#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"A.N.Yzelman@uu.nl and R.H.Bisseling@uu.nl#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032741850","display_name":"Rob H. Bisseling","orcid":"https://orcid.org/0000-0002-9854-4481"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Rob H. Bisseling","raw_affiliation_strings":["Mathematical Institute, Utrecht University, P.O. Box 80010, 3508 TA Utrecht, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Utrecht University, P.O. Box 80010, 3508 TA Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.3617,"has_fulltext":false,"cited_by_count":86,"citation_normalized_percentile":{"value":0.96233914,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"31","issue":"4","first_page":"3128","last_page":"3154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998999834060669,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9995999932289124,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.7402218580245972},{"id":"https://openalex.org/keywords/cache-oblivious-algorithm","display_name":"Cache-oblivious algorithm","score":0.7260336875915527},{"id":"https://openalex.org/keywords/cache","display_name":"Cache","score":0.7207413911819458},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6431988477706909},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.6156320571899414},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.6073236465454102},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6037864685058594},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5990076065063477},{"id":"https://openalex.org/keywords/cache-algorithms","display_name":"Cache algorithms","score":0.577181875705719},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.5004632472991943},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.49393635988235474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4850546717643738},{"id":"https://openalex.org/keywords/band-matrix","display_name":"Band matrix","score":0.4576103389263153},{"id":"https://openalex.org/keywords/hollow-matrix","display_name":"Hollow matrix","score":0.44161492586135864},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.43143048882484436},{"id":"https://openalex.org/keywords/cpu-cache","display_name":"CPU cache","score":0.37608256936073303},{"id":"https://openalex.org/keywords/square-matrix","display_name":"Square matrix","score":0.28770530223846436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2729596495628357},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.14459002017974854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13189998269081116},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.11002814769744873},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0773460865020752}],"concepts":[{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.7402218580245972},{"id":"https://openalex.org/C59687516","wikidata":"https://www.wikidata.org/wiki/Q5015938","display_name":"Cache-oblivious algorithm","level":5,"score":0.7260336875915527},{"id":"https://openalex.org/C115537543","wikidata":"https://www.wikidata.org/wiki/Q165596","display_name":"Cache","level":2,"score":0.7207413911819458},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6431988477706909},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.6156320571899414},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.6073236465454102},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6037864685058594},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5990076065063477},{"id":"https://openalex.org/C38556500","wikidata":"https://www.wikidata.org/wiki/Q13404475","display_name":"Cache algorithms","level":4,"score":0.577181875705719},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.5004632472991943},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.49393635988235474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4850546717643738},{"id":"https://openalex.org/C33343441","wikidata":"https://www.wikidata.org/wiki/Q806350","display_name":"Band matrix","level":5,"score":0.4576103389263153},{"id":"https://openalex.org/C94947713","wikidata":"https://www.wikidata.org/wiki/Q12806125","display_name":"Hollow matrix","level":5,"score":0.44161492586135864},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.43143048882484436},{"id":"https://openalex.org/C189783530","wikidata":"https://www.wikidata.org/wiki/Q352090","display_name":"CPU cache","level":3,"score":0.37608256936073303},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.28770530223846436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2729596495628357},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.14459002017974854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13189998269081116},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.11002814769744873},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0773460865020752},{"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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/080733243","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080733243","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/319143","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/319143","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, vol. 31 (4), (3128-3154)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.158.3979","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.3979","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uu.nl/people/bisseling/Mondriaan/yzelman09.pdf","raw_type":"text"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/204078","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/204078","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM journal on scientific computing, 31(4), 3128. Society for Industrial and Applied Mathematics Publications","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/319143","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/319143","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, vol. 31 (4), (3128-3154)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1518969538","https://openalex.org/W1608412409","https://openalex.org/W1884140786","https://openalex.org/W1948792255","https://openalex.org/W1964031104","https://openalex.org/W1964639877","https://openalex.org/W1979889135","https://openalex.org/W1987393840","https://openalex.org/W1996022525","https://openalex.org/W1996309908","https://openalex.org/W2006962349","https://openalex.org/W2027745336","https://openalex.org/W2052602889","https://openalex.org/W2057542391","https://openalex.org/W2066636486","https://openalex.org/W2068683191","https://openalex.org/W2070232376","https://openalex.org/W2071452023","https://openalex.org/W2094333709","https://openalex.org/W2095875205","https://openalex.org/W2096070062","https://openalex.org/W2099625934","https://openalex.org/W2102182691","https://openalex.org/W2109220922","https://openalex.org/W2112187418","https://openalex.org/W2114977680","https://openalex.org/W2119395117","https://openalex.org/W2127927798","https://openalex.org/W2127975031","https://openalex.org/W2136871634","https://openalex.org/W2137541800","https://openalex.org/W2138621811","https://openalex.org/W2142184646","https://openalex.org/W2158598102","https://openalex.org/W2162630236","https://openalex.org/W2163501979","https://openalex.org/W2165211988","https://openalex.org/W2677289244","https://openalex.org/W4230183876","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1569026695","https://openalex.org/W2527471267","https://openalex.org/W1529275186","https://openalex.org/W2074326206","https://openalex.org/W36091612","https://openalex.org/W1534408758","https://openalex.org/W2040556424","https://openalex.org/W2142496304","https://openalex.org/W1581507139","https://openalex.org/W1540387851"],"abstract_inverted_index":{"In":[0,158],"this":[1],"article,":[2],"we":[3,162],"introduce":[4],"a":[5,26,114,136,191],"cache-oblivious":[6],"method":[7,13],"for":[8,89,108,125],"sparse":[9,29,42,87,166],"matrix\u2013vector":[10,43,133],"multiplication.":[11,44],"Our":[12],"attempts":[14],"to":[15,48,77,102,121,184],"permute":[16],"the":[17,22,35,57,81,90,104,164,188],"rows":[18],"and":[19,67,128],"columns":[20],"of":[21,56,92,144,190],"input":[23],"matrix":[24,30,37,106,167,180],"using":[25],"recursive":[27],"hypergraph-based":[28],"partitioning":[31,86],"scheme":[32],"so":[33],"that":[34],"resulting":[36],"induces":[38],"cache-friendly":[39],"behavior":[40,124],"during":[41,132],"Matrices":[45],"are":[46,147],"assumed":[47],"be":[49,103],"stored":[50],"in":[51,85,169,174,187],"row-major":[52],"format,":[53],"by":[54,150,178],"means":[55],"compressed":[58],"row":[59],"storage":[60],"(CRS)":[61],"or":[62],"its":[63],"variants":[64],"incremental":[65],"CRS":[66,72],"zig-zag":[68,71],"CRS.":[69],"The":[70,95,142,172],"data":[73],"structure":[74,107],"is":[75,100],"shown":[76,101],"fit":[78],"well":[79],"with":[80],"hypergraph":[82],"metric":[83],"used":[84],"matrices":[88,127],"purpose":[91],"parallel":[93],"computation.":[94],"separated":[96],"block-diagonal":[97],"(SBD)":[98],"form":[99],"appropriate":[105],"cache":[109,116,123,130,140,156],"enhancement.":[110],"We":[111],"have":[112],"implemented":[113],"run-time":[115],"simulation":[117],"library":[118],"enabling":[119],"us":[120],"analyze":[122],"arbitrary":[126,129],"properties":[131],"multiplication":[134],"within":[135],"k-way":[137],"set-associative":[138],"idealized":[139],"model.":[141],"results":[143],"these":[145,160],"simulations":[146],"then":[148],"verified":[149],"actual":[151],"experiments":[152],"run":[153],"on":[154],"various":[155],"architectures.":[157],"all":[159],"experiments,":[161],"use":[163],"Mondriaan":[165],"partitioner":[168],"one-dimensional":[170],"mode.":[171],"savings":[173],"computation":[175],"time":[176],"achieved":[177],"our":[179],"reorderings":[181],"reach":[182],"up":[183],"50":[185],"percent,":[186],"case":[189],"large":[192],"link":[193],"matrix.":[194]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":10}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}