{"id":"https://openalex.org/W2053352689","doi":"https://doi.org/10.1177/109434209601000404","title":"Loop Splitting for High Performance Computers","display_name":"Loop Splitting for High Performance Computers","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W2053352689","doi":"https://doi.org/10.1177/109434209601000404","mag":"2053352689"},"language":"en","primary_location":{"id":"doi:10.1177/109434209601000404","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434209601000404","pdf_url":null,"source":{"id":"https://openalex.org/S4210228336","display_name":"The International Journal of Supercomputer Applications and High Performance Computing","issn_l":"1078-3482","issn":["1078-3482"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Supercomputer Applications and High Performance Computing","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/A5082329790","display_name":"Andrew Ilin","orcid":null},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew Ilin","raw_affiliation_strings":["DEPARTMENT OF MATHEMATICS UNIVERSITY OF HOUSTON HOUSTON,\rTX 77204-3476","Department of Mathematics University of Houston Houston, TX 77204-3476"],"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF MATHEMATICS UNIVERSITY OF HOUSTON HOUSTON,\rTX 77204-3476","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"Department of Mathematics University of Houston Houston, TX 77204-3476","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068215959","display_name":"L. Ridgway Scott","orcid":"https://orcid.org/0000-0002-7885-7106"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Ridgway Scott","raw_affiliation_strings":["DEPARTMENT OF MATHEMATICS UNIVERSITY OF HOUSTON HOUSTON,\rTX 77204-3476","Department of Mathematics University of Houston Houston, TX 77204-3476"],"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF MATHEMATICS UNIVERSITY OF HOUSTON HOUSTON,\rTX 77204-3476","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"Department of Mathematics University of Houston Houston, TX 77204-3476","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082329790"],"corresponding_institution_ids":["https://openalex.org/I44461941"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.20587034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"4","first_page":"336","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9861000180244446,"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"}},"topics":[{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9861000180244446,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9544000029563904,"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":0.945900022983551,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6353070735931396},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6294245719909668},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.483195424079895},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.4754990041255951},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4390602111816406},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.43888455629348755},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3897515833377838},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31816214323043823},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16496458649635315},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06699419021606445}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6353070735931396},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6294245719909668},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.483195424079895},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.4754990041255951},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4390602111816406},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.43888455629348755},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3897515833377838},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31816214323043823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16496458649635315},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06699419021606445},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/109434209601000404","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434209601000404","pdf_url":null,"source":{"id":"https://openalex.org/S4210228336","display_name":"The International Journal of Supercomputer Applications and High Performance Computing","issn_l":"1078-3482","issn":["1078-3482"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Supercomputer Applications and High Performance Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W277917121","https://openalex.org/W1546004968","https://openalex.org/W1549217911","https://openalex.org/W2123302978","https://openalex.org/W2480695959","https://openalex.org/W2896925818"],"related_works":["https://openalex.org/W2384867379","https://openalex.org/W2329539859","https://openalex.org/W2227905990","https://openalex.org/W2765823764","https://openalex.org/W3214280620","https://openalex.org/W3191490922","https://openalex.org/W2794038527","https://openalex.org/W1582436825","https://openalex.org/W1996803181","https://openalex.org/W2979588510"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"program":[3],"transformations":[4],"and":[5],"algorithm":[6],"modifications":[7],"that":[8],"reduce":[9],"execution":[10],"time":[11],"of":[12],"iterative":[13],"methods":[14],"for":[15],"solv":[16],"ing":[17],"partial":[18],"differential":[19],"equations":[20],"on":[21,43],"high":[22],"performance":[23,42],"computers.":[24],"Tech":[25],"niques":[26],"typically":[27],"associated":[28],"with":[29],"par":[30],"allel":[31],"computers":[32],"turn":[33],"out":[34],"to":[35,39],"be":[36],"essen":[37],"tial":[38],"obtain":[40],"optimal":[41],"current":[44],"superscalar":[45],"uniprocessors.":[46]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}