{"id":"https://openalex.org/W4390821557","doi":"https://doi.org/10.3390/a17010031","title":"GPU Algorithms for Structured Sparse Matrix Multiplication with Diagonal Storage Schemes","display_name":"GPU Algorithms for Structured Sparse Matrix Multiplication with Diagonal Storage Schemes","publication_year":2024,"publication_date":"2024-01-12","ids":{"openalex":"https://openalex.org/W4390821557","doi":"https://doi.org/10.3390/a17010031"},"language":"en","primary_location":{"id":"doi:10.3390/a17010031","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17010031","pdf_url":"https://www.mdpi.com/1999-4893/17/1/31/pdf?version=1705041864","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/1/31/pdf?version=1705041864","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049229574","display_name":"Sardar Anisul Haque","orcid":"https://orcid.org/0000-0002-3497-3156"},"institutions":[{"id":"https://openalex.org/I63098007","display_name":"Liverpool John Moores University","ror":"https://ror.org/04zfme737","country_code":"GB","type":"education","lineage":["https://openalex.org/I63098007"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sardar Anisul Haque","raw_affiliation_strings":["School of Computing and Data Science, Oryx Universal College in Partnership with Liverpool John Moores University (UK), Doha P.O. Box 12253, Qatar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Data Science, Oryx Universal College in Partnership with Liverpool John Moores University (UK), Doha P.O. Box 12253, Qatar","institution_ids":["https://openalex.org/I63098007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103216077","display_name":"Mohammad Tanvir Parvez","orcid":"https://orcid.org/0000-0001-9033-014X"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]},{"id":"https://openalex.org/I4210092650","display_name":"Buraydah Colleges","ror":"https://ror.org/00j0krs40","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210092650"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammad Tanvir Parvez","raw_affiliation_strings":["Department of Computer Engineering, College of Computer, Qassim University, Buraydah 52571, Saudi Arabia","Department of Computer Engineering, College of Computer, Qassim University, Buraydah 52571, Saudi Arabia;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, College of Computer, Qassim University, Buraydah 52571, Saudi Arabia","institution_ids":["https://openalex.org/I4210092650","https://openalex.org/I156216236"]},{"raw_affiliation_string":"Department of Computer Engineering, College of Computer, Qassim University, Buraydah 52571, Saudi Arabia;","institution_ids":["https://openalex.org/I4210092650","https://openalex.org/I156216236"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100618757","display_name":"Shahadat Hossain","orcid":"https://orcid.org/0000-0003-4545-2898"},"institutions":[{"id":"https://openalex.org/I151934421","display_name":"University of Northern British Columbia","ror":"https://ror.org/025wzwv46","country_code":"CA","type":"education","lineage":["https://openalex.org/I151934421"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Shahadat Hossain","raw_affiliation_strings":["Department of Computer Science, University of Northern British Columbia, Prince George, BC V2N 4Z9, Canada","Department of Computer Science, University of Northern British Columbia, Prince George, BC V2N 4Z9, Canada;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Northern British Columbia, Prince George, BC V2N 4Z9, Canada","institution_ids":["https://openalex.org/I151934421"]},{"raw_affiliation_string":"Department of Computer Science, University of Northern British Columbia, Prince George, BC V2N 4Z9, Canada;","institution_ids":["https://openalex.org/I151934421"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.5802,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81017353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"17","issue":"1","first_page":"31","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9988999962806702,"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9973999857902527,"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/matrix-multiplication","display_name":"Matrix multiplication","score":0.7314494848251343},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7273600697517395},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7132822275161743},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6560998558998108},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.634596586227417},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.6277974843978882},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6091868281364441},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5435064435005188},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.5101476311683655},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.4488008916378021},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44328904151916504},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42375028133392334},{"id":"https://openalex.org/keywords/computer-data-storage","display_name":"Computer data storage","score":0.41960522532463074},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3206636309623718},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19157660007476807},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.09906643629074097}],"concepts":[{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.7314494848251343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7273600697517395},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7132822275161743},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6560998558998108},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.634596586227417},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.6277974843978882},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6091868281364441},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5435064435005188},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.5101476311683655},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.4488008916378021},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44328904151916504},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42375028133392334},{"id":"https://openalex.org/C194739806","wikidata":"https://www.wikidata.org/wiki/Q66221","display_name":"Computer data storage","level":2,"score":0.41960522532463074},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3206636309623718},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19157660007476807},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.09906643629074097},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"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/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},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a17010031","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17010031","pdf_url":"https://www.mdpi.com/1999-4893/17/1/31/pdf?version=1705041864","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cc8a22d9ae854086b0e346b2cd533b40","is_oa":true,"landing_page_url":"https://doaj.org/article/cc8a22d9ae854086b0e346b2cd533b40","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 17, Iss 1, p 31 (2024)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/17/1/31/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a17010031","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a17010031","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17010031","pdf_url":"https://www.mdpi.com/1999-4893/17/1/31/pdf?version=1705041864","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310805","display_name":"University of Northern British Columbia","ror":"https://ror.org/025wzwv46"},{"id":"https://openalex.org/F4320324403","display_name":"Qassim University","ror":"https://ror.org/01wsfe280"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4390821557.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W26556108","https://openalex.org/W122736772","https://openalex.org/W201592086","https://openalex.org/W1568272005","https://openalex.org/W1978642402","https://openalex.org/W1982532196","https://openalex.org/W1987882202","https://openalex.org/W2003840611","https://openalex.org/W2034258707","https://openalex.org/W2040404421","https://openalex.org/W2083221501","https://openalex.org/W2100115659","https://openalex.org/W2101730760","https://openalex.org/W2105528986","https://openalex.org/W2127091535","https://openalex.org/W2187691968","https://openalex.org/W2783027117","https://openalex.org/W2787802143","https://openalex.org/W2991137062","https://openalex.org/W3141650078","https://openalex.org/W4308090282","https://openalex.org/W4309620166","https://openalex.org/W4315705713","https://openalex.org/W4366259332","https://openalex.org/W4388738210","https://openalex.org/W4389158502","https://openalex.org/W6686098310"],"related_works":["https://openalex.org/W2293771254","https://openalex.org/W2886568922","https://openalex.org/W4221142455","https://openalex.org/W3121828480","https://openalex.org/W2039875226","https://openalex.org/W2032786851","https://openalex.org/W2914631005","https://openalex.org/W2952630098","https://openalex.org/W3132517792","https://openalex.org/W4285148873"],"abstract_inverted_index":{"Matrix\u2013matrix":[0],"multiplication":[1,90],"is":[2],"of":[3,13,47,70,73,88,115,129,140,147],"singular":[4],"importance":[5],"in":[6,15,105],"linear":[7],"algebra":[8],"operations":[9],"with":[10,143,153],"a":[11,71,112],"multitude":[12],"applications":[14],"scientific":[16],"and":[17,82,118],"engineering":[18],"computing.":[19],"Data":[20],"structures":[21],"for":[22,132],"storing":[23],"matrix":[24,89],"elements":[25,69],"are":[26,95],"designed":[27],"to":[28,35,65,110,125],"minimize":[29],"overhead":[30],"information":[31],"as":[32,34],"well":[33],"optimize":[36],"the":[37,45,48,57,67,92,102,106,121,127,144,154],"operation":[38],"count.":[39],"In":[40],"this":[41],"study,":[42],"we":[43],"utilize":[44,120],"notion":[46],"compact":[49],"diagonal":[50,60,107],"storage":[51,80,108],"method":[52],"(CDM),":[53],"which":[54],"builds":[55],"upon":[56],"previously":[58],"developed":[59],"storage\u2014an":[61],"orientation-independent":[62],"uniform":[63],"scheme":[64],"store":[66],"nonzero":[68],"range":[72],"matrices.":[74],"This":[75],"study":[76],"exploits":[77],"both":[78],"these":[79],"schemes":[81,109],"presents":[83],"efficient":[84],"GPU-accelerated":[85],"parallel":[86],"implementations":[87],"when":[91],"input":[93],"matrices":[94,148],"banded":[96],"and/or":[97],"structured":[98],"sparse.":[99],"We":[100],"exploit":[101],"data":[103,130],"layouts":[104],"expose":[111],"substantial":[113],"amount":[114],"fine-grained":[116],"parallelism":[117],"effectively":[119],"GPU":[122],"shared":[123],"memory":[124],"improve":[126],"locality":[128],"access":[131],"numerical":[133,141],"calculations.":[134],"Results":[135],"from":[136],"an":[137],"extensive":[138],"set":[139],"experiments":[142],"aforementioned":[145],"types":[146],"demonstrate":[149],"orders-of-magnitude":[150],"speedups":[151],"compared":[152],"sequential":[155],"performance.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}