{"id":"https://openalex.org/W3166653902","doi":"https://doi.org/10.1007/s11075-022-01291-1","title":"Deviation maximization for rank-revealing QR factorizations","display_name":"Deviation maximization for rank-revealing QR factorizations","publication_year":2022,"publication_date":"2022-04-05","ids":{"openalex":"https://openalex.org/W3166653902","doi":"https://doi.org/10.1007/s11075-022-01291-1","mag":"3166653902"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-022-01291-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-022-01291-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-022-01291-1.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11075-022-01291-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083841966","display_name":"Monica Dessole","orcid":"https://orcid.org/0000-0002-2727-9123"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Monica Dessole","raw_affiliation_strings":["Department of Mathematics Tullio Levi Civita, University of Padova, Via Trieste 63, 35121, Padua, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2727-9123","affiliations":[{"raw_affiliation_string":"Department of Mathematics Tullio Levi Civita, University of Padova, Via Trieste 63, 35121, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037929376","display_name":"Fabio Marcuzzi","orcid":"https://orcid.org/0000-0003-1757-3019"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabio Marcuzzi","raw_affiliation_strings":["Department of Mathematics Tullio Levi Civita, University of Padova, Via Trieste 63, 35121, Padua, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Tullio Levi Civita, University of Padova, Via Trieste 63, 35121, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083841966"],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.0191,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74673373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"91","issue":"3","first_page":"1047","last_page":"1079"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9936000108718872,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9936000108718872,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.9811000227928162,"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/rank","display_name":"Rank (graph theory)","score":0.6735383868217468},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.6726051568984985},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6350911259651184},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6293092966079712},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.6093207597732544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5997040271759033},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5555553436279297},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5520369410514832},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.545036256313324},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4450087249279022},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3952369689941406},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33368197083473206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3202192187309265},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3146809935569763},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2803556025028229},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0951082706451416},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06969386339187622},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06289657950401306},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.05942097306251526}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6735383868217468},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.6726051568984985},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6350911259651184},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6293092966079712},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.6093207597732544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5997040271759033},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5555553436279297},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5520369410514832},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.545036256313324},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4450087249279022},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3952369689941406},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33368197083473206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3202192187309265},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3146809935569763},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2803556025028229},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0951082706451416},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06969386339187622},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06289657950401306},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.05942097306251526},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","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},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s11075-022-01291-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-022-01291-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-022-01291-1.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2106.03138","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.03138","pdf_url":"https://arxiv.org/pdf/2106.03138","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:www.research.unipd.it:11577/3392265","is_oa":true,"landing_page_url":"http://hdl.handle.net/11577/3392265","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"},{"id":"pmh:oai:www.research.unipd.it:11577/3444340","is_oa":true,"landing_page_url":"https://hdl.handle.net/11577/3444340","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2106.03138","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2106.03138","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1007/s11075-022-01291-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-022-01291-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-022-01291-1.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8040123151","display_name":null,"funder_award_id":"BIRD192932","funder_id":"https://openalex.org/F4320321966","funder_display_name":"Universit\u00e0 degli Studi di Padova"}],"funders":[{"id":"https://openalex.org/F4320321966","display_name":"Universit\u00e0 degli Studi di Padova","ror":"https://ror.org/00240q980"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3166653902.pdf","grobid_xml":"https://content.openalex.org/works/W3166653902.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W55303285","https://openalex.org/W1480928214","https://openalex.org/W1964681401","https://openalex.org/W1980921095","https://openalex.org/W1981943156","https://openalex.org/W1982811641","https://openalex.org/W1985036386","https://openalex.org/W2007266146","https://openalex.org/W2008205484","https://openalex.org/W2016182223","https://openalex.org/W2030287160","https://openalex.org/W2039778940","https://openalex.org/W2054557638","https://openalex.org/W2075665712","https://openalex.org/W2088028877","https://openalex.org/W2105111377","https://openalex.org/W2109624367","https://openalex.org/W2119233169","https://openalex.org/W2140064412","https://openalex.org/W2143292024","https://openalex.org/W2156722294","https://openalex.org/W2159565862","https://openalex.org/W2159856836","https://openalex.org/W2166036437","https://openalex.org/W2282423341","https://openalex.org/W2282765182","https://openalex.org/W2318261842","https://openalex.org/W2616932734","https://openalex.org/W2786012290","https://openalex.org/W3041947120","https://openalex.org/W3099464340","https://openalex.org/W3106285242","https://openalex.org/W3127451121","https://openalex.org/W4229666556","https://openalex.org/W4233654647"],"related_works":["https://openalex.org/W1485846902","https://openalex.org/W3037218165","https://openalex.org/W1980464854","https://openalex.org/W2982181895","https://openalex.org/W2739115385","https://openalex.org/W2794559785","https://openalex.org/W2018072369","https://openalex.org/W2104623932","https://openalex.org/W2181722423","https://openalex.org/W2607898408"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"introduce":[5],"a":[6,71,82],"new":[7],"column":[8,37],"selection":[9],"strategy,":[10],"named":[11,54],"here":[12],"\u201cDeviation":[13],"Maximization\u201d,":[14],"and":[15,42,62],"apply":[16],"it":[17],"to":[18,26],"compute":[19],"rank-revealing":[20,58],"QR":[21,33],"factorizations":[22],"as":[23],"an":[24],"alternative":[25],"the":[27,32,36,51,85],"well-known":[28],"block":[29],"version":[30],"of":[31,60,75],"factorization":[34],"with":[35],"pivoting":[38],"method,":[39],"called":[40],"QP3":[41,61],"currently":[43],"implemented":[44],"in":[45,84],"LAPACK\u2019s":[46],"routine.":[47],"We":[48,66],"show":[49],"that":[50],"resulting":[52],"algorithm,":[53],"QRDM,":[55],"has":[56,80],"similar":[57],"properties":[59],"better":[63],"execution":[64],"times.":[65],"present":[67],"experimental":[68],"results":[69],"on":[70],"wide":[72],"data":[73],"set":[74],"numerically":[76],"singular":[77],"matrices,":[78],"which":[79],"become":[81],"reference":[83],"recent":[86],"literature.":[87]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
