{"id":"https://openalex.org/W2085960053","doi":"https://doi.org/10.1080/00207169508804373","title":"Folding and double mapping of the matrix multiplication algorithm","display_name":"Folding and double mapping of the matrix multiplication algorithm","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2085960053","doi":"https://doi.org/10.1080/00207169508804373","mag":"2085960053"},"language":"en","primary_location":{"id":"doi:10.1080/00207169508804373","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169508804373","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/A5005558317","display_name":"Marjan Gu\u0161ev","orcid":"https://orcid.org/0000-0003-0351-9783"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Marjan Gu\u0161ev","raw_affiliation_strings":["\n                   \n               Parallel Algorithms Research Centre, Loughborough, Leicestershire, LE11 3TU, UK","Parallel Algorithms Research Centre, Loughborough, Leicestershire, LE11 3TU, UK"],"affiliations":[{"raw_affiliation_string":"\n                   \n               Parallel Algorithms Research Centre, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Parallel Algorithms Research Centre, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050075410","display_name":"David Evans","orcid":"https://orcid.org/0009-0002-2834-6700"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David J. Evans","raw_affiliation_strings":["\n                   \n               Parallel Algorithms Research Centre, Loughborough, Leicestershire, LE11 3TU, UK","Parallel Algorithms Research Centre, Loughborough, Leicestershire, LE11 3TU, UK"],"affiliations":[{"raw_affiliation_string":"\n                   \n               Parallel Algorithms Research Centre, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Parallel Algorithms Research Centre, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005558317"],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.23262237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"55","issue":"3-4","first_page":"183","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9980999827384949,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9980999827384949,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9955000281333923,"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":0.9941999912261963,"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/algorithm","display_name":"Algorithm","score":0.6564642786979675},{"id":"https://openalex.org/keywords/folding","display_name":"Folding (DSP implementation)","score":0.6207183599472046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49616774916648865},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.475055456161499},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4591294229030609},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.4359099566936493},{"id":"https://openalex.org/keywords/isogeny","display_name":"Isogeny","score":0.4245559871196747},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3870396912097931},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20476555824279785},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17390263080596924},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17075955867767334},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.09366875886917114}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6564642786979675},{"id":"https://openalex.org/C2776545253","wikidata":"https://www.wikidata.org/wiki/Q5464292","display_name":"Folding (DSP implementation)","level":2,"score":0.6207183599472046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49616774916648865},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.475055456161499},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4591294229030609},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.4359099566936493},{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.4245559871196747},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3870396912097931},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20476555824279785},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17390263080596924},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17075955867767334},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.09366875886917114},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169508804373","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169508804373","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/W1509443229","https://openalex.org/W1965273875","https://openalex.org/W2063998488","https://openalex.org/W2066032992"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W4239424132","https://openalex.org/W2596457687","https://openalex.org/W3212757063","https://openalex.org/W2086123442"],"abstract_inverted_index":{"Abstract":[0],"The":[1,48,74,85],"data":[2,18,32,122],"dependence":[3,136],"method":[4,36],"for":[5],"algorithm":[6,26,80],"implementation":[7,87],"on":[8,13],"processor":[9,127],"arrays":[10],"is":[11,37,91,97,113],"based":[12],"linear":[14,58],"transformations":[15],"of":[16,24,55,141,159,178],"the":[17,21,25,35,42,46,121],"dependencies":[19],"and":[20,27,64,70,93,105],"index":[22],"set":[23],"results":[28],"in":[29,67,120,126],"a":[30,94,100],"regular":[31,101],"flow,":[33],"but":[34],"still":[38],"unable":[39],"to":[40,115],"optimize":[41],"array":[43,86],"size":[44],"or":[45,125],"implementation.":[47],"presented":[49],"implementations":[50],"are":[51],"developed":[52],"using":[53,99],"properties":[54],"some":[56],"special":[57],"transformations,":[59],"i.e.,":[60],"symmetry":[61],"interlocking":[62],"translation":[63],"processors":[65],"working":[66],"swapped":[68],"active":[69],"inactive":[71],"time":[72],"moments.":[73],"2D":[75],"hex":[76],"matrix":[77],"multiplication":[78],"systolic":[79],"has":[81],"all":[82],"these":[83],"properties.":[84],"from":[88],"this":[89],"example":[90],"folded":[92],"triangular":[95],"solution":[96],"obtained":[98],"translated":[102],"folding":[103,111],"transformation":[104,112],"double":[106],"mapping":[107],"technique.":[108],"A":[109],"valid":[110],"chosen":[114],"obtain":[116],"no":[117],"increase":[118],"either":[119],"communication":[123],"links":[124],"operation.":[128],"Keywords:":[129],"Folding":[130],"transformationinterlocking":[131],"translationsymmetric":[132],"mappingsystolic":[133],"arraryalgorithm":[134],"transformationdata":[135],"\u2217University":[137,155,174],"\u201cKiril":[138,156,175],"i":[139,157,176],"Metodij\u201d":[140,158,177],"Skopje,":[142,152,160,170,179,189],"PMF":[143,161,180],"Institut":[144,162,181],"za":[145,163,182],"Informatika,":[146,164,183],"Arhimedova":[147,165,184],"5,":[148,166,185],"p.f.":[149,167,186],"162,":[150,168,187],"Yu-91000":[151,169,188],"Yugoslavia,":[153,171,190],"m.gusev@lut.ac.uk.":[154,172,191],"Notes":[173]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}