{"id":"https://openalex.org/W4285260013","doi":"https://doi.org/10.1109/tvlsi.2022.3170526","title":"Low-Latency and Reconfigurable VLSI-Architectures for Computing Eigenvalues and Eigenvectors Using CORDIC-Based Parallel Jacobi Method","display_name":"Low-Latency and Reconfigurable VLSI-Architectures for Computing Eigenvalues and Eigenvectors Using CORDIC-Based Parallel Jacobi Method","publication_year":2022,"publication_date":"2022-05-09","ids":{"openalex":"https://openalex.org/W4285260013","doi":"https://doi.org/10.1109/tvlsi.2022.3170526"},"language":"en","primary_location":{"id":"doi:10.1109/tvlsi.2022.3170526","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2022.3170526","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"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 Very Large Scale Integration (VLSI) 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/A5014252005","display_name":"Rahul Sharma","orcid":"https://orcid.org/0000-0001-5039-6398"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Rahul Sharma","raw_affiliation_strings":["School of Computing and Electrical Engineering, IIT Mandi, Mandi, India"],"affiliations":[{"raw_affiliation_string":"School of Computing and Electrical Engineering, IIT Mandi, Mandi, India","institution_ids":["https://openalex.org/I9579091"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033933825","display_name":"Rahul Shrestha","orcid":"https://orcid.org/0000-0003-2224-0892"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rahul Shrestha","raw_affiliation_strings":["School of Computing and Electrical Engineering, IIT Mandi, Mandi, India"],"affiliations":[{"raw_affiliation_string":"School of Computing and Electrical Engineering, IIT Mandi, Mandi, India","institution_ids":["https://openalex.org/I9579091"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054822912","display_name":"Satinder K. Sharma","orcid":"https://orcid.org/0000-0001-9313-5550"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Satinder K. Sharma","raw_affiliation_strings":["School of Computing and Electrical Engineering, IIT Mandi, Mandi, India"],"affiliations":[{"raw_affiliation_string":"School of Computing and Electrical Engineering, IIT Mandi, Mandi, India","institution_ids":["https://openalex.org/I9579091"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014252005"],"corresponding_institution_ids":["https://openalex.org/I9579091"],"apc_list":null,"apc_paid":null,"fwci":1.2029,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.81259831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"30","issue":"8","first_page":"1020","last_page":"1033"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9993000030517578,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9993000030517578,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cordic","display_name":"CORDIC","score":0.8809720277786255},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6742298007011414},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.5767053961753845},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.5199759602546692},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5053573250770569},{"id":"https://openalex.org/keywords/jacobi-eigenvalue-algorithm","display_name":"Jacobi eigenvalue algorithm","score":0.48862940073013306},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.4549642503261566},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44741952419281006},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4408392608165741},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.43182775378227234},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.41773998737335205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32788240909576416},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.2335849404335022},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.17870521545410156},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.15944185853004456},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1443825364112854}],"concepts":[{"id":"https://openalex.org/C58870171","wikidata":"https://www.wikidata.org/wiki/Q116076","display_name":"CORDIC","level":3,"score":0.8809720277786255},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6742298007011414},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.5767053961753845},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.5199759602546692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5053573250770569},{"id":"https://openalex.org/C135648419","wikidata":"https://www.wikidata.org/wiki/Q1677726","display_name":"Jacobi eigenvalue algorithm","level":3,"score":0.48862940073013306},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.4549642503261566},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44741952419281006},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4408392608165741},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.43182775378227234},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.41773998737335205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32788240909576416},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.2335849404335022},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.17870521545410156},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.15944185853004456},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1443825364112854},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvlsi.2022.3170526","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2022.3170526","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"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 Very Large Scale Integration (VLSI) Systems","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":25,"referenced_works":["https://openalex.org/W141418607","https://openalex.org/W1554369651","https://openalex.org/W1938562002","https://openalex.org/W1965404903","https://openalex.org/W1981712032","https://openalex.org/W1995875735","https://openalex.org/W2003670573","https://openalex.org/W2044829853","https://openalex.org/W2052501068","https://openalex.org/W2093637157","https://openalex.org/W2098693229","https://openalex.org/W2106309274","https://openalex.org/W2117001121","https://openalex.org/W2125029645","https://openalex.org/W2126023613","https://openalex.org/W2132495362","https://openalex.org/W2326995245","https://openalex.org/W2545629670","https://openalex.org/W2572346824","https://openalex.org/W2580750443","https://openalex.org/W2616555170","https://openalex.org/W2893104611","https://openalex.org/W3014958547","https://openalex.org/W3028354575","https://openalex.org/W3156317242"],"related_works":["https://openalex.org/W76092838","https://openalex.org/W2052501068","https://openalex.org/W4297101659","https://openalex.org/W2036174941","https://openalex.org/W2084214392","https://openalex.org/W2009079927","https://openalex.org/W2048538806","https://openalex.org/W1979289896","https://openalex.org/W2152614739","https://openalex.org/W2047763025"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2,102],"a":[3,26,78,103],"low-latency":[4,80],"parallel":[5,66],"Jacobi-method-based":[6],"algorithm":[7,32,73,105],"for":[8,59,91,109,141],"computing":[9,60,92,110],"eigenvalues":[10,61,93,111],"and":[11,37,62,74,81,94,106,112,121,200],"eigenvectors":[12,63,95,113],"of":[13,42,51,96,114,128,136,145,165,179,183],"<inline-formula":[14,166],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[15,167],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[16,168],"<tex-math":[17,169],"notation=\"LaTeX\">$n\\times":[18],"n$":[19],"</tex-math></inline-formula>":[20,172],"-sized":[21],"real-symmetric":[22,97],"matrix.":[23,98],"It":[24],"is":[25,45,139],"coordinate":[27],"rotations":[28,36],"digital-computer":[29],"(CORDIC)-based":[30],"iterative":[31],"that":[33,161,192],"comprises":[34],"multiple":[35],"hence":[38],"the":[39,48,56,65,129,142,188,193,205],"key":[40],"contribution":[41],"our":[43,184],"work":[44,101],"to":[46],"reduce":[47],"time":[49],"cost":[50],"each":[52],"rotation.":[53],"Thus,":[54],"alleviating":[55],"total":[57],"latency":[58,164,199],"using":[64],"Jacobi":[67],"method.":[68],"Based":[69],"on":[70,154],"this":[71,89,100],"proposed":[72,130,149,194],"additional":[75],"architectural":[76],"optimizations,":[77],"new":[79],"highly":[82],"accurate":[83],"VLSI-architecture":[84,108],"has":[85,132],"been":[86],"presented":[87],"in":[88],"manuscript":[90],"Subsequently,":[99],"reconfigurable":[104],"its":[107],"complex":[115,118],"Hermitian":[116],"(CH),":[117],"skew-Hermitian":[119],"(CSH),":[120],"real":[122],"skew-symmetric":[123],"(RSS)":[124],"matrices.":[125],"Performance":[126],"analysis":[127],"architectures":[131,150],"demonstrated":[133],"minimal":[134],"error-percentage":[135],"0.0106%":[137],"which":[138],"adequate":[140],"wide":[143],"range":[144],"real-time":[146],"applications.":[147],"The":[148],"are":[151],"hardware":[152],"implemented":[153],"Zynq":[155],"Ultrascale+":[156],"field-programmable":[157],"gate":[158],"array":[159],"(FPGA)-board":[160],"consumed":[162],"short":[163],"notation=\"LaTeX\">$9.377~\\mu":[170],"\\text{s}$":[171],"while":[173],"operating":[174],"at":[175],"maximum":[176],"clock":[177],"frequency":[178],"172.75":[180],"MHz.":[181],"Comparison":[182],"implementation":[185],"results":[186],"with":[187],"reported":[189],"works":[190],"showed":[191],"architecture":[195],"incurs":[196],"43.75%":[197],"lower":[198],"89.4%":[201],"better":[202],"accuracy":[203],"than":[204],"state-of-the-art":[206],"implementation.":[207]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-06T13:50:29.536080","created_date":"2025-10-10T00:00:00"}
