{"id":"https://openalex.org/W2109407035","doi":"https://doi.org/10.1145/2559986","title":"Optimally packed chains of bulges in multishift QR algorithms","display_name":"Optimally packed chains of bulges in multishift QR algorithms","publication_year":2014,"publication_date":"2014-02-01","ids":{"openalex":"https://openalex.org/W2109407035","doi":"https://doi.org/10.1145/2559986","mag":"2109407035"},"language":"en","primary_location":{"id":"doi:10.1145/2559986","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2559986","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/198666","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076622203","display_name":"Lars Karlsson","orcid":"https://orcid.org/0000-0002-4675-7434"},"institutions":[{"id":"https://openalex.org/I90267481","display_name":"Ume\u00e5 University","ror":"https://ror.org/05kb8h459","country_code":"SE","type":"education","lineage":["https://openalex.org/I90267481"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Lars Karlsson","raw_affiliation_strings":["Ume\u00e5 University, Sweden"],"affiliations":[{"raw_affiliation_string":"Ume\u00e5 University, Sweden","institution_ids":["https://openalex.org/I90267481"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084601962","display_name":"Daniel Kre\u00dfner","orcid":"https://orcid.org/0000-0003-3369-2958"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I4210158120","display_name":"Swiss Epilepsy Center","ror":"https://ror.org/05xnnea38","country_code":"CH","type":"other","lineage":["https://openalex.org/I4210158120"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Daniel Kressner","raw_affiliation_strings":["EPF Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPF Lausanne, Switzerland","institution_ids":["https://openalex.org/I4210158120","https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070913387","display_name":"Bruno Lang","orcid":"https://orcid.org/0000-0001-9197-4836"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bruno Lang","raw_affiliation_strings":["University of Wuppertal, Germany","University of Wuppertal (Germany)"],"affiliations":[{"raw_affiliation_string":"University of Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"University of Wuppertal (Germany)","institution_ids":["https://openalex.org/I167360494"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076622203"],"corresponding_institution_ids":["https://openalex.org/I90267481"],"apc_list":null,"apc_paid":null,"fwci":0.943,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.76910625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"40","issue":"2","first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9962999820709229,"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/robustness","display_name":"Robustness (evolution)","score":0.7160634994506836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7099580764770508},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.693868100643158},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6262723803520203},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6227347254753113},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.6161967515945435},{"id":"https://openalex.org/keywords/bulge","display_name":"Bulge","score":0.49135199189186096},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.47343018651008606},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22652703523635864},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10524642467498779}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7160634994506836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7099580764770508},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.693868100643158},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6262723803520203},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6227347254753113},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.6161967515945435},{"id":"https://openalex.org/C10767094","wikidata":"https://www.wikidata.org/wiki/Q854155","display_name":"Bulge","level":3,"score":0.49135199189186096},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.47343018651008606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22652703523635864},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10524642467498779},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/2559986","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2559986","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.259.5668","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.259.5668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.netlib.org/lapack/lawnspdf/lawn271.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:198666","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/198666","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:198666","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/103177","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:198666","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/198666","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7485207302","display_name":null,"funder_award_id":"VR 7062571","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1480928214","https://openalex.org/W1522384951","https://openalex.org/W1562237811","https://openalex.org/W1568240140","https://openalex.org/W1966430299","https://openalex.org/W1981745143","https://openalex.org/W1987753018","https://openalex.org/W1995854415","https://openalex.org/W2000078667","https://openalex.org/W2049790251","https://openalex.org/W2050873083","https://openalex.org/W2079925720","https://openalex.org/W2081133847","https://openalex.org/W2081172596","https://openalex.org/W2083800297","https://openalex.org/W2087263172","https://openalex.org/W2184298889","https://openalex.org/W2620258316","https://openalex.org/W2798909945","https://openalex.org/W2890534020","https://openalex.org/W4229666556","https://openalex.org/W6631191428"],"related_works":["https://openalex.org/W3102500637","https://openalex.org/W2031620842","https://openalex.org/W4315628239","https://openalex.org/W4304195439","https://openalex.org/W2130515006","https://openalex.org/W4302287888","https://openalex.org/W4310513800","https://openalex.org/W2162271873","https://openalex.org/W4321106489","https://openalex.org/W2166974176"],"abstract_inverted_index":{"The":[0],"QR":[1,27,65,146],"algorithm":[2,66],"is":[3,94,121],"the":[4,38,42,47,64,105,113,116,140,145,150,158,165,175],"method":[5],"of":[6,12,49,63,77,81,89,115,144,152,164,174],"choice":[7],"for":[8,59],"computing":[9],"all":[10],"eigenvalues":[11],"a":[13,26,34,75,82,132,171],"dense":[14],"nonsymmetric":[15],"matrix":[16],"A":[17,50],".":[18,51],"After":[19],"an":[20],"initial":[21],"reduction":[22,173],"to":[23,41,73,96,139,161],"Hessenberg":[24],"form,":[25],"iteration":[28],"can":[29,125],"be":[30,126],"viewed":[31],"as":[32,100,102],"chasing":[33,74],"small":[35],"bulge":[36],"from":[37],"top":[39],"left":[40],"bottom":[43],"right":[44],"corner":[45],"along":[46],"subdiagonal":[48],"To":[52,85,148],"increase":[53],"data":[54],"locality":[55],"and":[56,124],"create":[57],"potential":[58],"parallelism,":[60],"modern":[61],"variants":[62],"perform":[67],"several":[68,78],"iterations":[69],"simultaneously,":[70],"which":[71],"amounts":[72],"chain":[76,134],"bulges":[79,99],"instead":[80],"single":[83],"bulge.":[84],"make":[86,162],"effective":[87],"use":[88,163],"level":[90],"3":[91],"BLAS,":[92],"it":[93],"important":[95],"pack":[97],"these":[98],"tightly":[101],"possible":[103],"within":[104],"chain.":[106],"In":[107],"this":[108],"work,":[109],"we":[110,155],"show":[111],"that":[112],"tightness":[114],"packing":[117],"in":[118],"existing":[119],"approaches":[120],"not":[122],"optimal":[123,166],"increased.":[127],"This":[128],"directly":[129],"translates":[130],"into":[131],"reduced":[133],"length":[135],"by":[136],"33%":[137],"compared":[138],"state-of-the-art":[141],"LAPACK":[142,159],"implementation":[143,160],"algorithm.":[147],"demonstrate":[149],"impact":[151],"our":[153],"idea,":[154],"have":[156],"modified":[157],"packing.":[167],"Numerical":[168],"experiments":[169],"reveal":[170],"uniform":[172],"execution":[176],"time,":[177],"without":[178],"affecting":[179],"stability":[180],"or":[181],"robustness.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
