{"id":"https://openalex.org/W4220950446","doi":"https://doi.org/10.1145/3507466","title":"Algorithm\u00a01022: Efficient Algorithms for Computing a Rank-Revealing UTV Factorization on Parallel Computing Architectures","display_name":"Algorithm\u00a01022: Efficient Algorithms for Computing a Rank-Revealing UTV Factorization on Parallel Computing Architectures","publication_year":2022,"publication_date":"2022-03-25","ids":{"openalex":"https://openalex.org/W4220950446","doi":"https://doi.org/10.1145/3507466"},"language":"en","primary_location":{"id":"doi:10.1145/3507466","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3507466","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011868929","display_name":"Nathan Heavner","orcid":null},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. Heavner","raw_affiliation_strings":["University of Colorado at Boulder, Boulder, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Colorado at Boulder, Boulder, CO, USA","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075880248","display_name":"Francisco D. Igual","orcid":"https://orcid.org/0000-0003-4480-9517"},"institutions":[{"id":"https://openalex.org/I121748325","display_name":"Universidad Complutense de Madrid","ror":"https://ror.org/02p0gd045","country_code":"ES","type":"education","lineage":["https://openalex.org/I121748325"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. D. Igual","raw_affiliation_strings":["Universidad Complutense de Madrid, Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0003-4480-9517","affiliations":[{"raw_affiliation_string":"Universidad Complutense de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I121748325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086284706","display_name":"Gregorio Quintana\u2010Ort\u00ed","orcid":"https://orcid.org/0000-0002-7912-7826"},"institutions":[{"id":"https://openalex.org/I10902133","display_name":"Universitat Jaume I","ror":"https://ror.org/02ws1xc11","country_code":"ES","type":"education","lineage":["https://openalex.org/I10902133"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"G. Quintana-Ort\u00ed","raw_affiliation_strings":["Universitat Jaume I de Castell\u00f3n, Castell\u00f3n, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Jaume I de Castell\u00f3n, Castell\u00f3n, Spain","institution_ids":["https://openalex.org/I10902133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038211364","display_name":"Per\u2010Gunnar Martinsson","orcid":"https://orcid.org/0000-0002-1048-5270"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. G. Martinsson","raw_affiliation_strings":["University of Texas at Austin, Speedway, PMA, Austin, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Austin, Speedway, PMA, Austin, TX, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1312,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49278265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"48","issue":"2","first_page":"1","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9983999729156494,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.998199999332428,"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/computer-science","display_name":"Computer science","score":0.8176592588424683},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.6876693367958069},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.6661791801452637},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.658602774143219},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6020721197128296},{"id":"https://openalex.org/keywords/lu-decomposition","display_name":"LU decomposition","score":0.5838944911956787},{"id":"https://openalex.org/keywords/memory-footprint","display_name":"Memory footprint","score":0.5492189526557922},{"id":"https://openalex.org/keywords/distributed-memory","display_name":"Distributed memory","score":0.5284770727157593},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.47438886761665344},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.47129786014556885},{"id":"https://openalex.org/keywords/shared-memory","display_name":"Shared memory","score":0.4709775447845459},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4663355350494385},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.44335421919822693},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.437327116727829},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42292076349258423},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.417207270860672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.133696049451828}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8176592588424683},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.6876693367958069},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.6661791801452637},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.658602774143219},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6020721197128296},{"id":"https://openalex.org/C123213974","wikidata":"https://www.wikidata.org/wiki/Q833089","display_name":"LU decomposition","level":4,"score":0.5838944911956787},{"id":"https://openalex.org/C74912251","wikidata":"https://www.wikidata.org/wiki/Q6815727","display_name":"Memory footprint","level":2,"score":0.5492189526557922},{"id":"https://openalex.org/C91481028","wikidata":"https://www.wikidata.org/wiki/Q1054686","display_name":"Distributed memory","level":3,"score":0.5284770727157593},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.47438886761665344},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.47129786014556885},{"id":"https://openalex.org/C133875982","wikidata":"https://www.wikidata.org/wiki/Q764810","display_name":"Shared memory","level":2,"score":0.4709775447845459},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4663355350494385},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.44335421919822693},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.437327116727829},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42292076349258423},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.417207270860672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.133696049451828},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3507466","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3507466","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:repositori.uji.es:10234/200216","is_oa":false,"landing_page_url":"http://hdl.handle.net/10234/200216","pdf_url":null,"source":{"id":"https://openalex.org/S4306400303","display_name":"Repositori UJI (Universitat Jaume I)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I10902133","host_organization_name":"Universitat Jaume I","host_organization_lineage":["https://openalex.org/I10902133"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1722511658","display_name":null,"funder_award_id":"N00014-18-1-2354","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4644698862","display_name":null,"funder_award_id":"RTI2018-098156-B-C54","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G8119788308","display_name":null,"funder_award_id":"RTI2018-093684-B-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G8181105605","display_name":null,"funder_award_id":"RTI2018","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1598328844","https://openalex.org/W1971069109","https://openalex.org/W1982891411","https://openalex.org/W1986834688","https://openalex.org/W1988425770","https://openalex.org/W2004026774","https://openalex.org/W2005900526","https://openalex.org/W2006384005","https://openalex.org/W2016358047","https://openalex.org/W2019592888","https://openalex.org/W2021525945","https://openalex.org/W2030167104","https://openalex.org/W2047656763","https://openalex.org/W2050090934","https://openalex.org/W2057261601","https://openalex.org/W2057711597","https://openalex.org/W2064667796","https://openalex.org/W2064980127","https://openalex.org/W2067048653","https://openalex.org/W2067183844","https://openalex.org/W2104318722","https://openalex.org/W2117756735","https://openalex.org/W2141244461","https://openalex.org/W2152356156","https://openalex.org/W2594418358","https://openalex.org/W3011966787","https://openalex.org/W4239025233","https://openalex.org/W4240959780","https://openalex.org/W4320800818"],"related_works":["https://openalex.org/W2026512611","https://openalex.org/W1985165680","https://openalex.org/W4245497162","https://openalex.org/W2353146130","https://openalex.org/W2142486491","https://openalex.org/W1990817968","https://openalex.org/W2150064838","https://openalex.org/W1933089384","https://openalex.org/W2391999311","https://openalex.org/W2185094550"],"abstract_inverted_index":{"Randomized":[0],"singular":[1,16],"value":[2,17],"decomposition":[3,18],"(RSVD)":[4],"is":[5,54,70,105,142],"by":[6],"now":[7],"a":[8,20,35,39,115,135],"well-established":[9],"technique":[10],"for":[11,94],"efficiently":[12],"computing":[13,99],"an":[14,110],"approximate":[15],"of":[19,38,52,58,109,150],"matrix.":[21],"Building":[22],"on":[23,134,144,160],"the":[24,29,50,129,145],"ideas":[25],"that":[26,42],"underpin":[27],"RSVD,":[28],"recently":[30],"proposed":[31],"algorithm":[32,132],"\u201crandUTV\u201d":[33],"computes":[34],"full":[36],"factorization":[37,75],"given":[40],"matrix":[41],"provides":[43],"low-rank":[44],"approximations":[45],"with":[46,114,156],"near-optimal":[47],"error.":[48],"Because":[49],"bulk":[51],"randUTV":[53,90,104],"cast":[55],"in":[56,81,107],"terms":[57,108],"communication-efficient":[59],"operations":[60],"such":[61,77],"as":[62,78],"matrix-matrix":[63],"multiplication":[64],"and":[65,97,163],"unpivoted":[66],"QR":[67,80],"factorizations,":[68],"it":[69],"faster":[71],"than":[72],"competing":[73,157],"rank-revealing":[74],"methods":[76],"column-pivoted":[79],"most":[82],"high-performance":[83],"computational":[84],"settings.":[85],"In":[86],"this":[87],"article,":[88],"optimized":[89],"implementations":[91],"are":[92],"presented":[93],"both":[95,161],"shared-memory":[96,162],"distributed-memory":[98,140,164],"environments.":[100],"For":[101],"shared":[102],"memory,":[103],"redesigned":[106],"algorithm-by-blocks":[111],"that,":[112],"together":[113],"runtime":[116],"task":[117],"scheduler,":[118],"eliminates":[119],"bottlenecks":[120],"from":[121],"data":[122],"synchronization":[123],"points":[124],"to":[125],"achieve":[126],"acceleration":[127],"over":[128],"standard":[130],"blocked":[131],"based":[133,143],"purely":[136],"fork-join":[137],"approach.":[138],"The":[139,148],"implementation":[141],"ScaLAPACK":[146],"library.":[147],"performance":[149],"our":[151],"new":[152],"codes":[153],"compares":[154],"favorably":[155],"factorizations":[158],"available":[159],"architectures.":[165]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
