{"id":"https://openalex.org/W2118476380","doi":"https://doi.org/10.1109/tpds.2004.1264783","title":"Using elementary linear algebra to solve data alignment for arrays with linear or quadratic references","display_name":"Using elementary linear algebra to solve data alignment for arrays with linear or quadratic references","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2118476380","doi":"https://doi.org/10.1109/tpds.2004.1264783","mag":"2118476380"},"language":"en","primary_location":{"id":"doi:10.1109/tpds.2004.1264783","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2004.1264783","pdf_url":null,"source":{"id":"https://openalex.org/S97130795","display_name":"IEEE Transactions on Parallel and Distributed Systems","issn_l":"1045-9219","issn":["1045-9219","1558-2183","2161-9883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Parallel and Distributed Systems","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/A5110215911","display_name":"Weng-Long Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I92582371","display_name":"Southern Taiwan University of Science and Technology","ror":"https://ror.org/0029n1t76","country_code":"TW","type":"education","lineage":["https://openalex.org/I92582371"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Weng-Long Chang","raw_affiliation_strings":["Department of Information Management, Southern Taiwan University of Technology, Tainan County, Taiwan, Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Management, Southern Taiwan University of Technology, Tainan County, Taiwan, Republic of China","institution_ids":["https://openalex.org/I92582371"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000771081","display_name":"Jih-Woei Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jih-Woei Huang","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103575268","display_name":"Chih\u2010Ping Chu","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chih-Ping Chu","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China","institution_ids":["https://openalex.org/I91807558"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.06,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76770884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"1","first_page":"28","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9980000257492065,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9969000220298767,"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":0.7841476798057556},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.6660669445991516},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6333648562431335},{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.6267720460891724},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6211549639701843},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.579322099685669},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.5153526663780212},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.5149584412574768},{"id":"https://openalex.org/keywords/loop-unrolling","display_name":"Loop unrolling","score":0.46640199422836304},{"id":"https://openalex.org/keywords/loop-tiling","display_name":"Loop tiling","score":0.4307316243648529},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4187730550765991},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4137831926345825},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.13312262296676636},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12147337198257446},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1076783835887909}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7841476798057556},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.6660669445991516},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6333648562431335},{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.6267720460891724},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6211549639701843},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.579322099685669},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.5153526663780212},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.5149584412574768},{"id":"https://openalex.org/C76970557","wikidata":"https://www.wikidata.org/wiki/Q1869750","display_name":"Loop unrolling","level":3,"score":0.46640199422836304},{"id":"https://openalex.org/C11799548","wikidata":"https://www.wikidata.org/wiki/Q6675847","display_name":"Loop tiling","level":3,"score":0.4307316243648529},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4187730550765991},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4137831926345825},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.13312262296676636},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12147337198257446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1076783835887909},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tpds.2004.1264783","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2004.1264783","pdf_url":null,"source":{"id":"https://openalex.org/S97130795","display_name":"IEEE Transactions on Parallel and Distributed Systems","issn_l":"1045-9219","issn":["1045-9219","1558-2183","2161-9883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Parallel and Distributed Systems","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":30,"referenced_works":["https://openalex.org/W1518070484","https://openalex.org/W1545388031","https://openalex.org/W1800573347","https://openalex.org/W1870542990","https://openalex.org/W1910726131","https://openalex.org/W1963949959","https://openalex.org/W1964354616","https://openalex.org/W1969152955","https://openalex.org/W1985410827","https://openalex.org/W1989669520","https://openalex.org/W2050735826","https://openalex.org/W2055198234","https://openalex.org/W2082600973","https://openalex.org/W2086237056","https://openalex.org/W2112482891","https://openalex.org/W2112909236","https://openalex.org/W2114006602","https://openalex.org/W2121824019","https://openalex.org/W2124001993","https://openalex.org/W2135581789","https://openalex.org/W2138503535","https://openalex.org/W2140639562","https://openalex.org/W2143549041","https://openalex.org/W2167030954","https://openalex.org/W2179265235","https://openalex.org/W2264086856","https://openalex.org/W2266946488","https://openalex.org/W2542488526","https://openalex.org/W2906616979","https://openalex.org/W4291236916"],"related_works":["https://openalex.org/W30800889","https://openalex.org/W1951652387","https://openalex.org/W1495480229","https://openalex.org/W4251798485","https://openalex.org/W2122418911","https://openalex.org/W1992520403","https://openalex.org/W2039186546","https://openalex.org/W2151744790","https://openalex.org/W2340721088","https://openalex.org/W2278840053"],"abstract_inverted_index":{"Data":[0],"alignment":[1,26,54],"that":[2,7,88],"facilitates":[3],"data":[4,9,25],"locality":[5],"so":[6],"the":[8,33,58,84,93,97],"access":[10],"communication":[11],"costs":[12],"can":[13,91],"be":[14],"minimized,":[15],"helps":[16],"distributed":[17],"memory":[18],"parallel":[19],"machines":[20],"improve":[21,92],"their":[22],"throughput.":[23],"Most":[24],"methods":[27],"are":[28],"devised":[29],"mainly":[30],"to":[31,56],"align":[32,57],"arrays":[34,59],"referenced":[35,60],"using":[36,61],"linear":[37,62],"subscripts":[38,41,63,66],"or":[39,45,64],"quadratic":[40,65],"with":[42,67],"few":[43],"(one":[44],"two)":[46],"loop":[47,69,80],"index":[48,70],"variables.":[49,71],"We":[50],"propose":[51],"two":[52],"communication-free":[53],"techniques":[55,77,90],"multiple":[68],"The":[72],"experimental":[73],"results":[74],"from":[75],"our":[76,89],"on":[78],"vector":[79],"and":[81],"TRFD":[82],"of":[83,96],"perfect":[85],"benchmarks":[86],"reveal":[87],"execution":[94],"times":[95],"subroutines":[98],"in":[99],"these":[100],"benchmarks.":[101]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}