{"id":"https://openalex.org/W2677289244","doi":"https://doi.org/10.1007/s00224-010-9285-4","title":"Optimal Sparse Matrix Dense Vector Multiplication in\u00a0the I/O-Model","display_name":"Optimal Sparse Matrix Dense Vector Multiplication in\u00a0the I/O-Model","publication_year":2010,"publication_date":"2010-08-25","ids":{"openalex":"https://openalex.org/W2677289244","doi":"https://doi.org/10.1007/s00224-010-9285-4","mag":"2677289244"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-010-9285-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-010-9285-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","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/A5068761590","display_name":"Michael A. Bender","orcid":"https://orcid.org/0000-0001-7639-530X"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael A. Bender","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, Stony Brook, NY, 11794-4400, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, NY, 11794-4400, USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039943336","display_name":"Gerth St\u00f8lting Brodal","orcid":"https://orcid.org/0000-0001-9054-915X"},"institutions":[{"id":"https://openalex.org/I4210095128","display_name":"Center for Massive Data Algorithmics","ror":"https://ror.org/00qbzpp62","country_code":"DK","type":"facility","lineage":["https://openalex.org/I4210095128"]},{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Gerth St\u00f8lting Brodal","raw_affiliation_strings":["MADALGO, Department of Computer Science, Aarhus University, Aarhus, Denmark"],"affiliations":[{"raw_affiliation_string":"MADALGO, Department of Computer Science, Aarhus University, Aarhus, Denmark","institution_ids":["https://openalex.org/I4210095128","https://openalex.org/I204337017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021765002","display_name":"Rolf Fagerberg","orcid":"https://orcid.org/0000-0003-1004-3314"},"institutions":[{"id":"https://openalex.org/I177969490","display_name":"University of Southern Denmark","ror":"https://ror.org/03yrrjy16","country_code":"DK","type":"education","lineage":["https://openalex.org/I177969490"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Rolf Fagerberg","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Southern Denmark, Odense, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Southern Denmark, Odense, Denmark","institution_ids":["https://openalex.org/I177969490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072095949","display_name":"Riko Jacob","orcid":"https://orcid.org/0000-0001-9470-1809"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Riko Jacob","raw_affiliation_strings":["Department of Computer Science, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017863403","display_name":"Elias Vicari","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Elias Vicari","raw_affiliation_strings":["Institute of Theoretical Computer Science, ETH Zurich, 8092, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science, ETH Zurich, 8092, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5072095949"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.5605,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.90722812,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"47","issue":"4","first_page":"934","last_page":"962"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9990000128746033,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6969822645187378},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.684403657913208},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.617530882358551},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5902194976806641},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5518678426742554},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.5180266499519348},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5021395683288574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4915409982204437},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.41743776202201843},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3357691168785095},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22412261366844177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18345355987548828},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08856812119483948}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6969822645187378},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.684403657913208},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.617530882358551},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5902194976806641},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5518678426742554},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.5180266499519348},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5021395683288574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4915409982204437},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.41743776202201843},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3357691168785095},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22412261366844177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18345355987548828},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08856812119483948},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00224-010-9285-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-010-9285-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:sdu.dk:openaire_cris_publications/b850c3df-919d-48ae-971d-45ced9108afb","is_oa":false,"landing_page_url":"https://portal.findresearcher.sdu.dk/da/publications/b850c3df-919d-48ae-971d-45ced9108afb","pdf_url":null,"source":{"id":"https://openalex.org/S4306400423","display_name":"University of Southern Denmark Research Portal (University of Southern Denmark)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177969490","host_organization_name":"University of Southern Denmark","host_organization_lineage":["https://openalex.org/I177969490"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bender, M A, Brodal, G S, Fagerberg, R, Jacob, R & Vicari, E 2010, 'Optimal Sparse Matrix Dense Vector Multiplication in the I/O-Model', Theory of Computing Systems, vol. 47, no. 4, pp. 934-962. https://doi.org/10.1007/s00224-010-9285-4","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.atira.dk:publications/951d5ec0-da90-11df-a891-000ea68e967b","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/951d5ec0-da90-11df-a891-000ea68e967b","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bender, M A, Brodal, G S, Fagerberg, R, Jacob, R & Vicari, E 2010, 'Optimal Sparse Matrix Dense Vector Multiplication in\u00a0the I/O-Model', Theory of Computing Systems, vol. 47, no. 4, pp. 934-962. https://doi.org/10.1007/s00224-010-9285-4","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W78547367","https://openalex.org/W1492371197","https://openalex.org/W1512166633","https://openalex.org/W1583793915","https://openalex.org/W1653630692","https://openalex.org/W1972501001","https://openalex.org/W1982680469","https://openalex.org/W1992107487","https://openalex.org/W2034413563","https://openalex.org/W2035476608","https://openalex.org/W2038142281","https://openalex.org/W2038687478","https://openalex.org/W2046919433","https://openalex.org/W2095875205","https://openalex.org/W2114545805","https://openalex.org/W2148542244","https://openalex.org/W2154590891","https://openalex.org/W2167868137"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W4239424132","https://openalex.org/W2596457687","https://openalex.org/W3212757063","https://openalex.org/W2086123442"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}