Probabilistic Rounding Error Analysis of Householder QR Factorization

Not provided.

Saved in:
Bibliographic Details
Published in:SIAM journal on matrix analysis and applications Vol. 44; no. 3; pp. 1146 - 1163
Main Authors: Connolly, Michael P., Higham, Nicholas J.
Format: Journal Article
Language:English
Published: United States Society for Industrial and Applied Mathematics (SIAM) 01.01.2023
Subjects:
ISSN:0895-4798, 1095-7162
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract Not provided.
AbstractList Not provided.
Author Connolly, Michael P.
Higham, Nicholas J.
Author_xml – sequence: 1
  givenname: Michael P.
  surname: Connolly
  fullname: Connolly, Michael P.
  organization: Department of Mathematics, University of Manchester, Manchester, M13 9PL, UK
– sequence: 2
  givenname: Nicholas J.
  orcidid: 0000-0001-5956-4976
  surname: Higham
  fullname: Higham, Nicholas J.
  organization: Department of Mathematics, University of Manchester, Manchester, M13 9PL, UK
BackLink https://www.osti.gov/biblio/2424942$$D View this record in Osti.gov
BookMark eNptkFFLwzAUhYNMsJu--AuCj0I1N0nb5HGMzgkTdehzSdPURWoiSfYwf73VCYL4dC6H71wOZ4omzjuD0DmQKwBWXVN6BwVwAdURyoDIIq-gpBOUETHevJLiBE1jfCUESi4hQ_VD8K1q7WBjshpv_M511r3gOgQf8NypYR9txL7HK7-LZuuHzgT8uMFLpZMP9kMl690pOu7VEM3Zj87Q87J-Wqzy9f3N7WK-zjWVPOVUqFJpxoWiHaEUKi0YGClUYYgoWNHL0oAQio1WZcAIwbq-FUx2nS5kqdgMXRz--rFtE7VNRm-1d87o1FBOueR0hMgB0sHHGEzfjNx3zRSUHRogzddWze9WY-TyT-Q92DcV9v_Bn7S9alQ
CitedBy_id crossref_primary_10_1137_23M1585817
crossref_primary_10_1137_24M1655482
crossref_primary_10_1038_s41598_024_76537_0
crossref_primary_10_1109_OJCOMS_2024_3515860
crossref_primary_10_1137_23M1605387
crossref_primary_10_1109_TPDS_2024_3522776
Cites_doi 10.56021/9781421407944
10.1137/S0895479801384573
10.1137/1.9780898717778
10.1145/321075.321076
10.1137/18M1226312
10.1137/0613015
10.1137/0908009
10.1017/CBO9781139164795
10.1007/s10208-011-9099-z
10.1137/S0895479801384585
10.1137/20M138870X
10.1137/20M1314355
10.1137/20M1334796
10.1137/1.9780898718027
10.1137/19M1296367
10.1145/2049662.2049663
ContentType Journal Article
CorporateAuthor US Department of Energy (USDOE), Washington, DC (United States). Office of Science, Exascale Computing Project
CorporateAuthor_xml – name: US Department of Energy (USDOE), Washington, DC (United States). Office of Science, Exascale Computing Project
DBID AAYXX
CITATION
OTOTI
DOI 10.1137/22M1514817
DatabaseName CrossRef
OSTI.GOV
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 1095-7162
EndPage 1163
ExternalDocumentID 2424942
10_1137_22M1514817
GroupedDBID -~X
.4S
123
4.4
8FE
8FG
8G5
8V8
AALVN
AASXH
AAYXX
ABKAD
ABMZU
ABUWG
ACGFO
ACGOD
ACIWK
ACPRK
AENEX
AFFNX
AFRAH
ALMA_UNASSIGNED_HOLDINGS
ANXRF
ARAPS
ATCPS
AZQEC
BBNVY
BENPR
BEZIV
BHPHI
BPHCQ
CITATION
CS3
D0L
DU5
DWQXO
EBR
EBS
EBU
EDO
EST
FRNLG
GNUQQ
H13
HCIFZ
H~9
K6V
M2O
P1Q
P2P
P62
RJG
RSI
TN5
YNT
AAJWA
OTOTI
ID FETCH-LOGICAL-c294t-28a6ac348a2d02217c831e98a5e08535f96e188a398a7e1e883dfb839ddc596a3
ISICitedReferencesCount 9
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001072643200004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0895-4798
IngestDate Mon Aug 12 05:47:34 EDT 2024
Sat Nov 29 02:43:44 EST 2025
Tue Nov 18 21:26:12 EST 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 3
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c294t-28a6ac348a2d02217c831e98a5e08535f96e188a398a7e1e883dfb839ddc596a3
Notes USDOE
ORCID 0000-0001-5956-4976
0000000159564976
OpenAccessLink https://research.manchester.ac.uk/en/publications/99d4ac17-d42b-4690-ac51-cfd69e4842ba
PageCount 18
ParticipantIDs osti_scitechconnect_2424942
crossref_citationtrail_10_1137_22M1514817
crossref_primary_10_1137_22M1514817
PublicationCentury 2000
PublicationDate 2023-01-01
PublicationDateYYYYMMDD 2023-01-01
PublicationDate_xml – month: 01
  year: 2023
  text: 2023-01-01
  day: 01
PublicationDecade 2020
PublicationPlace United States
PublicationPlace_xml – name: United States
PublicationTitle SIAM journal on matrix analysis and applications
PublicationYear 2023
Publisher Society for Industrial and Applied Mathematics (SIAM)
Publisher_xml – name: Society for Industrial and Applied Mathematics (SIAM)
References ref13
ref12
ref15
Mitzenmacher M. (ref17) 2017
ref11
ref22
ref10
ref21
Wilkinson J. H. (ref20) 1965
ref1
Billingsley P. (ref2) 1995
ref16
ref19
ref18
ref7
Croci M. (ref8) 2022; 9
ref4
ref3
ref6
ref5
Higham N. J. (ref14) 2021
References_xml – volume-title: The Algebraic Eigenvalue Problem
  year: 1965
  ident: ref20
– ident: ref11
  doi: 10.56021/9781421407944
– ident: ref5
  doi: 10.1137/S0895479801384573
– volume-title: Probability and Computing. Randomization and Probabilistic Techniques in Algorithms and Data Analysis
  year: 2017
  ident: ref17
– ident: ref13
  doi: 10.1137/1.9780898717778
– ident: ref19
  doi: 10.1145/321075.321076
– ident: ref15
  doi: 10.1137/18M1226312
– ident: ref4
  doi: 10.1137/0613015
– ident: ref3
  doi: 10.1137/0908009
– ident: ref21
  doi: 10.1017/CBO9781139164795
– ident: ref18
  doi: 10.1007/s10208-011-9099-z
– ident: ref6
  doi: 10.1137/S0895479801384585
– ident: ref1
  doi: 10.1137/20M138870X
– ident: ref16
  doi: 10.1137/20M1314355
– ident: ref7
  doi: 10.1137/20M1334796
– ident: ref12
  doi: 10.1137/1.9780898718027
– ident: ref22
  doi: 10.1137/19M1296367
– volume: 9
  start-page: 1
  year: 2022
  ident: ref8
  publication-title: Roy. Soc. Open Sci.
– ident: ref10
  doi: 10.1145/2049662.2049663
– volume-title: MIMS EPrint 2021.14
  year: 2021
  ident: ref14
– volume-title: Probability and Measure
  year: 1995
  ident: ref2
SSID ssj0016491
Score 2.431628
Snippet Not provided.
SourceID osti
crossref
SourceType Open Access Repository
Enrichment Source
Index Database
StartPage 1146
SubjectTerms Mathematics
Title Probabilistic Rounding Error Analysis of Householder QR Factorization
URI https://www.osti.gov/biblio/2424942
Volume 44
WOSCitedRecordID wos001072643200004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVPQU
  databaseName: Advanced Technologies & Aerospace Database
  customDbUrl:
  eissn: 1095-7162
  dateEnd: 20241212
  omitProxy: false
  ssIdentifier: ssj0016491
  issn: 0895-4798
  databaseCode: P5Z
  dateStart: 19880101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/hightechjournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1095-7162
  dateEnd: 20241212
  omitProxy: false
  ssIdentifier: ssj0016491
  issn: 0895-4798
  databaseCode: BENPR
  dateStart: 19880101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Research Library
  customDbUrl:
  eissn: 1095-7162
  dateEnd: 20241212
  omitProxy: false
  ssIdentifier: ssj0016491
  issn: 0895-4798
  databaseCode: M2O
  dateStart: 19880101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/pqrl
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwELZgywEOiKcoBWQJLihKafxI7COgrSpEV9uloN4ir2MLJMhW2QXtz2cmcbIO5VAOXKLEsi3F82UyD_sbQl5JUXgvqyxlfnmUCpnZ1PhKpPhzEd4aa9qM7pePxWymLi70PMR01205gaKu1XarL_-rqKENhI1HZ_9B3MOk0AD3IHS4gtjhei3Bzxv4RHHLKzIwJwssm4ThgGnTrJoRB8kJOP0Os0-uSc4WyXFbeSccy4xt1k_g7e8YJurkB7L6bxPTT9XSvUZ58CGtEVWyDrvzk_lhFOv-OoARHex18uEwjkEwHsUggqrSEmN0nSZ1nSoF4y1FfqpY13ZcjwFTPFKcWR-JdOGxU3tXFXxLEcDYKYBJqO7Y55hF-4-_27DnsPV2eFHuxt4ke6yQWk3I3rvpbL4Ysk-56Cot9m8VaG1h9Jvd6JEhM1mBTCPD5PweuRs8Cvq2Q8J9csPVD8id04GOd_2QTEeYoD0maIsJ2mOCrjyNMEHPFnSEiUfk8_H0_P1JGupnpJZpsUmZMrmxXCjDKjDVssIqnjmtjHRgaHPpde4ypQyHpsJlTile-SVYzFVlpc4Nf0wm9ap2Twitcg_ftJJt0EuyI-NtYVH_66XVMO8-ed0vRmkDuTzWOPleXl32ffJy6HvZUar8tdcBrmkJhiCyGVvc9mU3JZ5m0oI9vdYcB-T2Dq3PyGTT_HTPyS37a_Nt3bwIUv8NPrly9Q
linkProvider ProQuest
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Probabilistic+Rounding+Error+Analysis+of+Householder+QR+Factorization&rft.jtitle=SIAM+journal+on+matrix+analysis+and+applications&rft.au=Connolly%2C+Michael+P.&rft.au=Higham%2C+Nicholas+J.&rft.date=2023-01-01&rft.issn=0895-4798&rft.eissn=1095-7162&rft.volume=44&rft.issue=3&rft.spage=1146&rft.epage=1163&rft_id=info:doi/10.1137%2F22M1514817&rft.externalDBID=n%2Fa&rft.externalDocID=10_1137_22M1514817
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0895-4798&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0895-4798&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0895-4798&client=summon