{"id":"https://openalex.org/W2124343275","doi":"https://doi.org/10.1109/tpds.2003.1233716","title":"Optimal semi-oblique tiling","display_name":"Optimal semi-oblique tiling","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W2124343275","doi":"https://doi.org/10.1109/tpds.2003.1233716","mag":"2124343275"},"language":"en","primary_location":{"id":"doi:10.1109/tpds.2003.1233716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2003.1233716","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/A5040381671","display_name":"Rumen Andonov","orcid":"https://orcid.org/0000-0003-4842-7102"},"institutions":[{"id":"https://openalex.org/I4210089617","display_name":"Laboratoire d'Automatique, de M\u00e9canique et d'Informatique Industrielles et Humaines","ror":"https://ror.org/006z7v557","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210089617","https://openalex.org/I4210159245","https://openalex.org/I4387154098","https://openalex.org/I70348806","https://openalex.org/I70348806"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"R. Andonov","raw_affiliation_strings":["LAMIH/ROI, University of Valenciennes, Valenciennes, France","Univ. of Valenciennes, France"],"affiliations":[{"raw_affiliation_string":"LAMIH/ROI, University of Valenciennes, Valenciennes, France","institution_ids":["https://openalex.org/I4210089617"]},{"raw_affiliation_string":"Univ. of Valenciennes, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074089397","display_name":"Stefan Balev","orcid":null},"institutions":[{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Balev","raw_affiliation_strings":["Laboratoire d'Informatique du Havre,FST, Universit\u00e9 du Havre, Le Havre, France","[Laboratoire d'Informatique du Havre,FST, Universit\u00e9 du Havre, Le Havre, France]"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique du Havre,FST, Universit\u00e9 du Havre, Le Havre, France","institution_ids":["https://openalex.org/I141576021"]},{"raw_affiliation_string":"[Laboratoire d'Informatique du Havre,FST, Universit\u00e9 du Havre, Le Havre, France]","institution_ids":["https://openalex.org/I141576021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047953886","display_name":"Sanjay Rajopadhye","orcid":"https://orcid.org/0000-0002-4246-6066"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Rajopadhye","raw_affiliation_strings":["Computer Science Department, Colorado State University, CO, USA","[Computer Science Department, Colorado State University, CO, USA]"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Colorado State University, CO, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"[Computer Science Department, Colorado State University, CO, USA]","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111777256","display_name":"Nicola Yanev","orcid":"https://orcid.org/0000-0003-4130-8813"},"institutions":[{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"N. Yanev","raw_affiliation_strings":["Institute of Mathematics and Informatics, Sofia, Bulgaria","[Institute of Mathematics and Informatics, Sofia, Bulgaria]"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210105926"]},{"raw_affiliation_string":"[Institute of Mathematics and Informatics, Sofia, Bulgaria]","institution_ids":["https://openalex.org/I4210105926"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040381671"],"corresponding_institution_ids":["https://openalex.org/I4210089617"],"apc_list":null,"apc_paid":null,"fwci":1.7725,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.8543956,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"14","issue":"9","first_page":"944","last_page":"960"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9943000078201294,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9943000078201294,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9868999719619751,"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/tile","display_name":"Tile","score":0.7574597001075745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7094427347183228},{"id":"https://openalex.org/keywords/software-portability","display_name":"Software portability","score":0.5985566973686218},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5820010900497437},{"id":"https://openalex.org/keywords/oblique-case","display_name":"Oblique case","score":0.5722776651382446},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4915178716182709},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48975181579589844},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47873327136039734},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4597198963165283},{"id":"https://openalex.org/keywords/block-size","display_name":"Block size","score":0.456010639667511},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.41531726717948914},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.41394534707069397},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4119841158390045},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2499082088470459},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21539056301116943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11130118370056152}],"concepts":[{"id":"https://openalex.org/C2780728851","wikidata":"https://www.wikidata.org/wiki/Q468402","display_name":"Tile","level":2,"score":0.7574597001075745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7094427347183228},{"id":"https://openalex.org/C63000827","wikidata":"https://www.wikidata.org/wiki/Q3080428","display_name":"Software portability","level":2,"score":0.5985566973686218},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5820010900497437},{"id":"https://openalex.org/C160697094","wikidata":"https://www.wikidata.org/wiki/Q1233197","display_name":"Oblique case","level":2,"score":0.5722776651382446},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4915178716182709},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48975181579589844},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47873327136039734},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4597198963165283},{"id":"https://openalex.org/C41431624","wikidata":"https://www.wikidata.org/wiki/Q1053357","display_name":"Block size","level":3,"score":0.456010639667511},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.41531726717948914},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.41394534707069397},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4119841158390045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2499082088470459},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21539056301116943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11130118370056152},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tpds.2003.1233716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2003.1233716","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":34,"referenced_works":["https://openalex.org/W128383653","https://openalex.org/W1494994944","https://openalex.org/W1501154464","https://openalex.org/W1513554765","https://openalex.org/W1565751843","https://openalex.org/W1589993665","https://openalex.org/W1825294837","https://openalex.org/W2002252837","https://openalex.org/W2007194250","https://openalex.org/W2041929342","https://openalex.org/W2045271686","https://openalex.org/W2049241685","https://openalex.org/W2053895556","https://openalex.org/W2054388411","https://openalex.org/W2061996139","https://openalex.org/W2078504799","https://openalex.org/W2084595820","https://openalex.org/W2090011371","https://openalex.org/W2091074029","https://openalex.org/W2111550867","https://openalex.org/W2112132809","https://openalex.org/W2116507456","https://openalex.org/W2116896429","https://openalex.org/W2117982462","https://openalex.org/W2118245937","https://openalex.org/W2119609467","https://openalex.org/W2126338559","https://openalex.org/W2158158791","https://openalex.org/W2169058874","https://openalex.org/W2204069727","https://openalex.org/W2296218291","https://openalex.org/W4248725703","https://openalex.org/W6630903078","https://openalex.org/W6638633617"],"related_works":["https://openalex.org/W2077189200","https://openalex.org/W2393136772","https://openalex.org/W2050257003","https://openalex.org/W768788828","https://openalex.org/W4386229429","https://openalex.org/W2035025044","https://openalex.org/W3016449295","https://openalex.org/W53339341","https://openalex.org/W2917815002","https://openalex.org/W2484416673"],"abstract_inverted_index":{"For":[0],"2D":[1],"iteration":[2],"space":[3],"tiling,":[4],"we":[5,58],"address":[6],"the":[7,11,16,36,42,47,60,67,71,80,85,88,163,169],"problem":[8,99],"of":[9,35,63,70,87,117,120,132,162,168],"determining":[10],"tile":[12,37,49,73],"parameters":[13],"that":[14,31],"minimize":[15],"total":[17],"execution":[18],"time":[19,157],"on":[20,79,94],"a":[21,52,95,118,129],"parallel":[22,40],"machine.":[23],"We":[24,45],"consider":[25],"uniform":[26],"dependency":[27],"computations":[28],"tiled":[29],"so":[30],"(at":[32],"least)":[33],"one":[34,138],"boundaries":[38],"is":[39,149,158],"to":[41,101,134],"domain":[43],"boundaries.":[44],"determine":[46,59],"optimal":[48,61,68,111,126],"size":[50],"as":[51],"closed":[53],"form":[54],"solution.":[55],"In":[56],"addition,":[57],"number":[62],"processors":[64],"and":[65],"also":[66],"slope":[69],"oblique":[72],"boundary.":[74],"Our":[75,90,125],"results":[76],"are":[77,92],"based":[78],"BSP":[81],"model,":[82],"which":[83,109],"assures":[84],"portability":[86],"results.":[89],"predictions":[91],"justified":[93],"sequence":[96],"global":[97],"alignment":[98],"specialized":[100],"similar":[102],"sequences":[103],"using":[104],"Fickett's":[105],"k-band":[106],"algorithm,":[107],"for":[108],"our":[110,154],"semi-oblique":[112],"tiling":[113],"yields":[114],"an":[115],"improvement":[116],"factor":[119],"2.5":[121],"over":[122],"orthogonal":[123],"tiling.":[124],"solution":[127],"requires":[128],"block-cyclic":[130],"distribution":[131,144],"tiles":[133],"processors.":[135],"The":[136],"best":[137,155],"can":[139],"obtain":[140],"with":[141],"only":[142],"block":[143],"(as":[145],"many":[146],"authors":[147],"require)":[148],"three":[150],"times":[151],"slower.":[152],"Furthermore,":[153],"running":[156],"within":[159],"10":[160],"percent":[161],"\"predicted":[164],"theoretical":[165],"peak\"":[166],"performance":[167],"machine!.":[170]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}