{"id":"https://openalex.org/W2143962927","doi":"https://doi.org/10.1080/00207169908804792","title":"A systolic array for the parallel solution of block trid1agonal linear systems (Sats)","display_name":"A systolic array for the parallel solution of block trid1agonal linear systems (Sats)","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2143962927","doi":"https://doi.org/10.1080/00207169908804792","mag":"2143962927"},"language":"en","primary_location":{"id":"doi:10.1080/00207169908804792","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804792","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5058624133","display_name":"David J. Evans","orcid":"https://orcid.org/0000-0001-6009-0333"},"institutions":[{"id":"https://openalex.org/I52590639","display_name":"Nottingham Trent University","ror":"https://ror.org/04xyxjd90","country_code":"GB","type":"education","lineage":["https://openalex.org/I52590639"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"D. J. Evans","raw_affiliation_strings":["\n                   \n               Department of Computing, The Nottingham Trent University, Nottingham, NG1 4BU, England","Department of Computing , The Nottingham Trent University , Nottingham, NG1 4BU, England"],"affiliations":[{"raw_affiliation_string":"\n                   \n               Department of Computing, The Nottingham Trent University, Nottingham, NG1 4BU, England","institution_ids":["https://openalex.org/I52590639"]},{"raw_affiliation_string":"Department of Computing , The Nottingham Trent University , Nottingham, NG1 4BU, England","institution_ids":["https://openalex.org/I52590639"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058624133"],"corresponding_institution_ids":["https://openalex.org/I52590639"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.23122723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"1","first_page":"57","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/systolic-array","display_name":"Systolic array","score":0.6816951036453247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.635185956954956},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5606285333633423},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40381962060928345},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.36161768436431885},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33128345012664795},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.32128673791885376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2796367406845093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2202816605567932}],"concepts":[{"id":"https://openalex.org/C150741067","wikidata":"https://www.wikidata.org/wiki/Q2377218","display_name":"Systolic array","level":3,"score":0.6816951036453247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.635185956954956},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5606285333633423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40381962060928345},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.36161768436431885},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33128345012664795},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.32128673791885376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2796367406845093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2202816605567932},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169908804792","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804792","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2004407437","https://openalex.org/W2058232637","https://openalex.org/W2167703814","https://openalex.org/W3035235874"],"related_works":["https://openalex.org/W4240320454","https://openalex.org/W2070314832","https://openalex.org/W2395557210","https://openalex.org/W2010232134","https://openalex.org/W2384485649","https://openalex.org/W3184376546","https://openalex.org/W2283084692","https://openalex.org/W4384833552","https://openalex.org/W2199100208","https://openalex.org/W2029210135"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3],"the":[4,14,38,64,68,89,96,99],"parallel":[5,46,100],"solution":[6,36,109],"of":[7,18,56,67,98],"block":[8,65,71],"tridiagonal":[9,107],"linear":[10],"systems":[11],"derived":[12],"from":[13],"finite":[15],"difference/element":[16],"discretisation":[17],"2D/3D":[19],"elliptic":[20],"partial":[21],"differential":[22],"equations":[23],"which":[24,54],"occur":[25],"frequently":[26],"in":[27],"scientific":[28],"and":[29,44,58],"engineering":[30],"applications":[31],"is":[32,42,74,92,102],"presented.":[33],"The":[34,70,84],"direct":[35],"by":[37,77],"Gaussian":[39],"elimination":[40],"algorithm":[41],"used":[43],"a":[45,50,78],"architecture":[47],"designed":[48],"employing":[49],"systolic":[51,60],"array":[52],"(SATS)":[53],"comprises":[55],"triangular":[57,72],"rectangular":[59],"arrays":[61],"to":[62],"perform":[63],"triangularisation":[66],"system.":[69],"system":[73,90,101],"then":[75,95],"solved":[76],"pipeline":[79],"using":[80],"local":[81],"memory":[82],"systems.":[83],"results":[85],"show":[86],"that":[87],"when":[88],"order":[91],">":[93],"10":[94],"speedup":[97],"significant":[103],"Keywords:":[104],"Systolic":[105],"arrayblock":[106],"systemparallel":[108]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
