{"id":"https://openalex.org/W2091908315","doi":"https://doi.org/10.1145/2159430.2159436","title":"High-performance sparse matrix-vector multiplication on GPUs for structured grid computations","display_name":"High-performance sparse matrix-vector multiplication on GPUs for structured grid computations","publication_year":2012,"publication_date":"2012-03-03","ids":{"openalex":"https://openalex.org/W2091908315","doi":"https://doi.org/10.1145/2159430.2159436","mag":"2091908315"},"language":"en","primary_location":{"id":"doi:10.1145/2159430.2159436","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2159430.2159436","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th Annual Workshop on General Purpose Processing with Graphics Processing Units","raw_type":"proceedings-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/A5013102275","display_name":"Jeswin Godwin","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jeswin Godwin","raw_affiliation_strings":["The Ohio State University, Columbus, OH","The Ohio State University, Columbus (OH)#TAB#"],"affiliations":[{"raw_affiliation_string":"The Ohio State University, Columbus, OH","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"The Ohio State University, Columbus (OH)#TAB#","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047990794","display_name":"Justin Holewinski","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Justin Holewinski","raw_affiliation_strings":["The Ohio State University, Columbus, OH","The Ohio State University, Columbus (OH)#TAB#"],"affiliations":[{"raw_affiliation_string":"The Ohio State University, Columbus, OH","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"The Ohio State University, Columbus (OH)#TAB#","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027517817","display_name":"P. Sadayappan","orcid":"https://orcid.org/0000-0002-4737-2034"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Sadayappan","raw_affiliation_strings":["The Ohio State University, Columbus, OH","The Ohio State University, Columbus (OH)#TAB#"],"affiliations":[{"raw_affiliation_string":"The Ohio State University, Columbus, OH","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"The Ohio State University, Columbus (OH)#TAB#","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013102275"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":5.9479,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.96725563,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"47","last_page":"56"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9973000288009644,"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9972000122070312,"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/sparse-matrix","display_name":"Sparse matrix","score":0.768465518951416},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.6131480932235718},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6091475486755371},{"id":"https://openalex.org/keywords/band-matrix","display_name":"Band matrix","score":0.606188178062439},{"id":"https://openalex.org/keywords/matrix-free-methods","display_name":"Matrix-free methods","score":0.5974303483963013},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5463358759880066},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5330055952072144},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.5315603613853455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5284578204154968},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.5280167460441589},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.5184559226036072},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.460027813911438},{"id":"https://openalex.org/keywords/matrix-splitting","display_name":"Matrix splitting","score":0.4583664536476135},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.42855218052864075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4244350790977478},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41789495944976807},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.402407705783844},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.39655303955078125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32290077209472656},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.30881422758102417},{"id":"https://openalex.org/keywords/square-matrix","display_name":"Square matrix","score":0.2565487027168274},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11904561519622803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08999213576316833},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07595348358154297},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07562258839607239},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07141858339309692}],"concepts":[{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.768465518951416},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.6131480932235718},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6091475486755371},{"id":"https://openalex.org/C33343441","wikidata":"https://www.wikidata.org/wiki/Q806350","display_name":"Band matrix","level":5,"score":0.606188178062439},{"id":"https://openalex.org/C54219892","wikidata":"https://www.wikidata.org/wiki/Q4080929","display_name":"Matrix-free methods","level":4,"score":0.5974303483963013},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5463358759880066},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5330055952072144},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.5315603613853455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5284578204154968},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.5280167460441589},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.5184559226036072},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.460027813911438},{"id":"https://openalex.org/C133589720","wikidata":"https://www.wikidata.org/wiki/Q6787891","display_name":"Matrix splitting","level":5,"score":0.4583664536476135},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.42855218052864075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4244350790977478},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41789495944976807},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.402407705783844},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.39655303955078125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32290077209472656},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.30881422758102417},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.2565487027168274},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11904561519622803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08999213576316833},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07595348358154297},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07562258839607239},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07141858339309692},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2159430.2159436","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2159430.2159436","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th Annual Workshop on General Purpose Processing with Graphics Processing Units","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G1744845937","display_name":null,"funder_award_id":"926688","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1840126235","display_name":null,"funder_award_id":"DOE award DE-SC0002434","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W90568776","https://openalex.org/W1506342804","https://openalex.org/W1518969538","https://openalex.org/W1588915715","https://openalex.org/W1995649289","https://openalex.org/W2013638793","https://openalex.org/W2031476866","https://openalex.org/W2063379240","https://openalex.org/W2099562280","https://openalex.org/W2124007994","https://openalex.org/W2128131218","https://openalex.org/W2128539477","https://openalex.org/W2128853364","https://openalex.org/W2130289795","https://openalex.org/W2132540527","https://openalex.org/W2135181239","https://openalex.org/W2142356482","https://openalex.org/W2154118576","https://openalex.org/W2270285103","https://openalex.org/W2518567779","https://openalex.org/W2597628894","https://openalex.org/W4212782655","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W233188489","https://openalex.org/W2054962314","https://openalex.org/W1972434286","https://openalex.org/W2969146409","https://openalex.org/W2353337315","https://openalex.org/W4248357922","https://openalex.org/W2383015896","https://openalex.org/W3046754636","https://openalex.org/W2013226093","https://openalex.org/W1977642111"],"abstract_inverted_index":{"In":[0],"this":[1,81],"paper,":[2],"we":[3],"address":[4],"efficient":[5],"sparse":[6,37,71,85],"matrix-vector":[7,26],"multiplication":[8,27],"for":[9,53,122],"matrices":[10,86],"arising":[11,42],"from":[12],"structured":[13],"grid":[14,23,101],"problems":[15],"with":[16,72],"high":[17],"degrees":[18],"of":[19,36,40,46,80,97],"freedom":[20],"at":[21,99],"each":[22,100],"node.":[24],"Sparse":[25,103,110],"is":[28,70,83],"a":[29,66,73,89],"critical":[30],"step":[31],"in":[32,43],"the":[33,44,58,94,119],"iterative":[34],"solution":[35,45],"linear":[38,60],"systems":[39],"equations":[41,49],"partial":[47],"differential":[48],"using":[50],"uniform":[51,56],"grids":[52],"discretization.":[54],"With":[55],"grids,":[57],"resulting":[59],"system":[61],"Ax":[62],"=":[63],"b":[64],"has":[65],"matrix":[67,104],"A":[68],"that":[69,87],"very":[74],"regular":[75],"structure.":[76],"The":[77],"specific":[78],"focus":[79],"paper":[82],"on":[84],"have":[88],"block":[90],"structure":[91],"due":[92],"to":[93],"large":[95],"number":[96],"unknowns":[98],"point.":[102],"storage":[105],"formats":[106],"such":[107,123],"as":[108],"Compressed":[109],"Row":[111],"(CSR)":[112],"and":[113],"Diagonal":[114],"format":[115],"(DIA)":[116],"are":[117],"not":[118],"most":[120],"effective":[121],"matrices.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-03T22:45:19.894376","created_date":"2025-10-10T00:00:00"}
