{"id":"https://openalex.org/W2914863927","doi":"https://doi.org/10.1137/0914022","title":"Superparallel FFTs","display_name":"Superparallel FFTs","publication_year":1993,"publication_date":"1993-03-01","ids":{"openalex":"https://openalex.org/W2914863927","doi":"https://doi.org/10.1137/0914022","mag":"2914863927"},"language":"en","primary_location":{"id":"doi:10.1137/0914022","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0914022","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Journal on Scientific 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/A5069525654","display_name":"Hans Munthe\u2013Kaas","orcid":"https://orcid.org/0000-0002-4456-3150"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hans Munthe-Kaas","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069525654"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.716,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.85248789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"2","first_page":"349","last_page":"367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9951000213623047,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.8321030735969543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6849268674850464},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6489540338516235},{"id":"https://openalex.org/keywords/simd","display_name":"SIMD","score":0.6136155724525452},{"id":"https://openalex.org/keywords/parallelism","display_name":"Parallelism (grammar)","score":0.4843222200870514},{"id":"https://openalex.org/keywords/split-radix-fft-algorithm","display_name":"Split-radix FFT algorithm","score":0.4299100935459137},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.42784279584884644},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.4252094030380249},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.413360595703125},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.3240329623222351},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30609118938446045},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.15130814909934998}],"concepts":[{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.8321030735969543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6849268674850464},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6489540338516235},{"id":"https://openalex.org/C150552126","wikidata":"https://www.wikidata.org/wiki/Q339387","display_name":"SIMD","level":2,"score":0.6136155724525452},{"id":"https://openalex.org/C2781172179","wikidata":"https://www.wikidata.org/wiki/Q853109","display_name":"Parallelism (grammar)","level":2,"score":0.4843222200870514},{"id":"https://openalex.org/C103755468","wikidata":"https://www.wikidata.org/wiki/Q17103599","display_name":"Split-radix FFT algorithm","level":5,"score":0.4299100935459137},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.42784279584884644},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.4252094030380249},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.413360595703125},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3240329623222351},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30609118938446045},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.15130814909934998},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0914022","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0914022","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Journal on Scientific 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":15,"referenced_works":["https://openalex.org/W1967810725","https://openalex.org/W1976284552","https://openalex.org/W1982291599","https://openalex.org/W1990237197","https://openalex.org/W2026014559","https://openalex.org/W2035328626","https://openalex.org/W2045836768","https://openalex.org/W2061171222","https://openalex.org/W2093762724","https://openalex.org/W2127391977","https://openalex.org/W2132733020","https://openalex.org/W2136963271","https://openalex.org/W2154307687","https://openalex.org/W2800143172","https://openalex.org/W4256206162"],"related_works":["https://openalex.org/W2185259940","https://openalex.org/W2977460836","https://openalex.org/W2031343199","https://openalex.org/W2113951268","https://openalex.org/W2168413811","https://openalex.org/W4226515754","https://openalex.org/W2144412928","https://openalex.org/W2356814585","https://openalex.org/W2948041274","https://openalex.org/W2004315237"],"abstract_inverted_index":{"Fast":[0],"Fourier":[1],"transform":[2],"(FFT)":[3],"algorithms":[4],"for":[5,139,146],"single":[6],"instruction":[7],"multiple":[8],"data":[9,46,106],"(SIMD)":[10],"machines":[11],"are":[12,32,122],"developed":[13],"which":[14],"simultaneously":[15],"solve":[16],"any":[17],"combination":[18],"of":[19,21,40,61,68,71,91,103],"FFTs":[20],"different":[22,26],"sizes":[23,70],"and":[24,42,75,111,129,136],"even":[25],"spatial":[27],"dimensionalities.":[28],"The":[29,59,124],"only":[30],"restrictions":[31],"that":[33,43,100],"all":[34,72],"the":[35,44,53,57,66,69,73,76,89,94,101,105,119,137,140],"periods":[36],"must":[37,47],"be":[38,108,127,144],"powers":[39],"two":[41],"initial":[45],"satisfy":[48],"some":[49],"alignment":[50],"requirements":[51],"with":[52],"address":[54],"space":[55],"in":[56,93,114,132],"computer.":[58],"degree":[60],"parallelism":[62],"is":[63,80,88,98],"equal":[64],"to":[65,82],"sum":[67],"subproblems":[74],"(parallel)":[77],"solution":[78],"time":[79],"proportional":[81],"$\\log":[83],"_2":[84],"(m)$,":[85],"where":[86],"m":[87],"number":[90],"points":[92],"largest":[95],"subsystem.":[96],"It":[97],"shown":[99],"task":[102],"unscrambling":[104],"can":[107,126],"both":[109],"executed":[110],"scheduled":[112],"efficiently":[113],"parallel.":[115],"Finally,":[116],"implementations":[117],"on":[118],"MasPar":[120],"computer":[121],"described.":[123],"codes":[125,149],"quickly":[128],"easily":[130],"employed":[131],"solving":[133],"complicated":[134],"problems,":[135],"interface":[138],"routines":[141],"may":[142],"therefore":[143],"interesting":[145],"sequential":[147],"FFT":[148],"as":[150],"well.":[151]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-02-21T00:00:00"}
