{"id":"https://openalex.org/W1971343078","doi":"https://doi.org/10.1137/s00361445003820","title":"Effects of Ordering Strategies and Programming Paradigms on Sparse Matrix Computations","display_name":"Effects of Ordering Strategies and Programming Paradigms on Sparse Matrix Computations","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1971343078","doi":"https://doi.org/10.1137/s00361445003820","mag":"1971343078"},"language":"en","primary_location":{"id":"doi:10.1137/s00361445003820","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s00361445003820","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ntrs.nasa.gov/api/citations/20020063559/downloads/20020063559.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113842004","display_name":"Leonid Oliker","orcid":"https://orcid.org/0000-0002-7923-2896"},"institutions":[{"id":"https://openalex.org/I1280536761","display_name":"Ames Research Center","ror":"https://ror.org/02acart68","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280536761","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Leonid Oliker","raw_affiliation_strings":["NASA Ames Research Center Moffett field, CA, United States"],"affiliations":[{"raw_affiliation_string":"NASA Ames Research Center Moffett field, CA, United States","institution_ids":["https://openalex.org/I1280536761"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027091310","display_name":"Xiaoye Li","orcid":"https://orcid.org/0000-0001-8942-2653"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaoye Li","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033402901","display_name":"Parry Husbands","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Parry Husbands","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5110285125","display_name":"Rupak Biswas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rupak Biswas","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113842004"],"corresponding_institution_ids":["https://openalex.org/I1280536761"],"apc_list":null,"apc_paid":null,"fwci":5.5991,"has_fulltext":true,"cited_by_count":79,"citation_normalized_percentile":{"value":0.96604502,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"44","issue":"3","first_page":"373","last_page":"393"},"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":0.9991999864578247,"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":0.994700014591217,"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/computer-science","display_name":"Computer science","score":0.8678934574127197},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.8122457265853882},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.7159087657928467},{"id":"https://openalex.org/keywords/thread","display_name":"Thread (computing)","score":0.6766011118888855},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6751181483268738},{"id":"https://openalex.org/keywords/shared-memory","display_name":"Shared memory","score":0.5614137053489685},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5558185577392578},{"id":"https://openalex.org/keywords/distributed-memory","display_name":"Distributed memory","score":0.5379413366317749},{"id":"https://openalex.org/keywords/multithreading","display_name":"Multithreading","score":0.500934362411499},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4626091420650482},{"id":"https://openalex.org/keywords/message-passing","display_name":"Message passing","score":0.4274725914001465},{"id":"https://openalex.org/keywords/reuse","display_name":"Reuse","score":0.41008636355400085},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3775222897529602},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2163638472557068},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07900857925415039}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8678934574127197},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.8122457265853882},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7159087657928467},{"id":"https://openalex.org/C138101251","wikidata":"https://www.wikidata.org/wiki/Q213092","display_name":"Thread (computing)","level":2,"score":0.6766011118888855},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6751181483268738},{"id":"https://openalex.org/C133875982","wikidata":"https://www.wikidata.org/wiki/Q764810","display_name":"Shared memory","level":2,"score":0.5614137053489685},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5558185577392578},{"id":"https://openalex.org/C91481028","wikidata":"https://www.wikidata.org/wiki/Q1054686","display_name":"Distributed memory","level":3,"score":0.5379413366317749},{"id":"https://openalex.org/C201410400","wikidata":"https://www.wikidata.org/wiki/Q1064412","display_name":"Multithreading","level":3,"score":0.500934362411499},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4626091420650482},{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.4274725914001465},{"id":"https://openalex.org/C206588197","wikidata":"https://www.wikidata.org/wiki/Q846574","display_name":"Reuse","level":2,"score":0.41008636355400085},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3775222897529602},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2163638472557068},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07900857925415039},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s00361445003820","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s00361445003820","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","raw_type":"journal-article"},{"id":"pmh:oai:casi.ntrs.nasa.gov:20020063559","is_oa":true,"landing_page_url":"http://hdl.handle.net/2060/20020063559","pdf_url":"https://ntrs.nasa.gov/api/citations/20020063559/downloads/20020063559.pdf","source":{"id":"https://openalex.org/S4377196257","display_name":"NASA STI Repository (National Aeronautics and Space Administration)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210124779","host_organization_name":"National Aeronautics and Space Administration","host_organization_lineage":["https://openalex.org/I4210124779"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CASI","raw_type":""},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.26.1625","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.26.1625","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.nersc.gov/~oliker/papers/siam_review_submit.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:casi.ntrs.nasa.gov:20020063559","is_oa":true,"landing_page_url":"http://hdl.handle.net/2060/20020063559","pdf_url":"https://ntrs.nasa.gov/api/citations/20020063559/downloads/20020063559.pdf","source":{"id":"https://openalex.org/S4377196257","display_name":"NASA STI Repository (National Aeronautics and Space Administration)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210124779","host_organization_name":"National Aeronautics and Space Administration","host_organization_lineage":["https://openalex.org/I4210124779"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CASI","raw_type":""},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1971343078.pdf","grobid_xml":"https://content.openalex.org/works/W1971343078.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W17416752","https://openalex.org/W1506342804","https://openalex.org/W1507741241","https://openalex.org/W1575701986","https://openalex.org/W1984192548","https://openalex.org/W1984872340","https://openalex.org/W1994182141","https://openalex.org/W2005106218","https://openalex.org/W2005923302","https://openalex.org/W2016358147","https://openalex.org/W2023406246","https://openalex.org/W2070232376","https://openalex.org/W2095420020","https://openalex.org/W2098482419","https://openalex.org/W2117014006","https://openalex.org/W2129412583","https://openalex.org/W2143767611","https://openalex.org/W2155819987","https://openalex.org/W2536939761","https://openalex.org/W2765924851","https://openalex.org/W4238509185"],"related_works":["https://openalex.org/W2148036958","https://openalex.org/W2154020360","https://openalex.org/W1998761481","https://openalex.org/W2498758832","https://openalex.org/W184749201","https://openalex.org/W98999783","https://openalex.org/W1483073283","https://openalex.org/W1544002944","https://openalex.org/W2133217435","https://openalex.org/W2160402837"],"abstract_inverted_index":{"The":[0],"conjugate":[1],"gradient":[2],"(CG)":[3],"algorithm":[4],"is":[5,29,97],"perhaps":[6],"the":[7,42,51,132],"best-known":[8],"iterative":[9],"technique":[10],"for":[11,70,153,161],"solving":[12],"sparse":[13],"linear":[14],"systems":[15,23],"that":[16,24,69],"are":[17,25],"symmetric":[18],"and":[19,47,56,65,83,110,112,146],"positive":[20],"definite.":[21],"For":[22],"ill":[26],"conditioned,":[27],"it":[28,96,149,157],"often":[30],"necessary":[31],"to":[32,99,142,164],"use":[33],"a":[34,113,150,165],"preconditioning":[35],"technique.":[36],"In":[37],"this":[38,71],"paper,":[39],"we":[40],"investigate":[41],"effects":[43],"of":[44,53,73,129,167],"various":[45],"ordering":[46,75,109,139],"partitioning":[48,141],"strategies":[49],"on":[50,80,131],"performance":[52,79,102,124],"parallel":[54],"CG":[55,59,130],"ILU(0)":[57],"preconditioned":[58],"(PCG)":[60],"using":[61,103],"different":[62],"programming":[63,120],"paradigms":[64],"architectures.":[66],"Results":[67],"show":[68],"class":[72],"applications,":[74],"significantly":[76],"improves":[77],"overall":[78],"both":[81],"distributed":[82,84],"shared-memory":[85,104],"systems,":[86],"cache":[87],"reuse":[88],"may":[89],"be":[90],"more":[91],"important":[92],"than":[93],"reducing":[94],"communication,":[95],"possible":[98],"achieve":[100],"message-passing":[101],"constructs":[105],"through":[106],"careful":[107],"data":[108],"distribution,":[111],"hybrid":[114],"MPI":[115],"+":[116],"OpenMP":[117],"paradigm":[118],"increases":[119],"complexity":[121],"with":[122],"little":[123],"gain.":[125],"A":[126],"multithreaded":[127],"implementation":[128],"Cray":[133],"MTA":[134],"does":[135],"not":[136],"require":[137],"special":[138],"or":[140],"obtain":[143],"high":[144],"efficiency":[145],"scalability,":[147],"giving":[148],"distinct":[151],"advantage":[152],"adaptive":[154],"applications;":[155],"however,":[156],"shows":[158],"limited":[159],"scalability":[160],"PCG":[162],"due":[163],"lack":[166],"thread-level":[168],"parallelism.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}