The condition number of real Vandermonde, Krylov and positive definite Hankel matrices

Saved in:
Bibliographic Details
Published inNumerische Mathematik Vol. 85; no. 4; pp. 553 - 577
Main Author Beckermann, Bernhard
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 01.06.2000
Berlin
New York, NY
Subjects
Online AccessGet full text
ISSN0029-599X
DOI10.1007/PL00005392

Cover

Author Beckermann, Bernhard
Author_xml – sequence: 1
  givenname: Bernhard
  surname: Beckermann
  fullname: Beckermann, Bernhard
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1458502$$DView record in Pascal Francis
BookMark eNplkE9LAzEQxXOoYFu9-Aly8CSuJpvspnuUoq1Y0EMp3pb8mWB0NynJWui3N6WioHMZmPm9B-9N0MgHDwhdUHJDCRG3LyuSp2JNOUJjQsqmqJrm9RRNUnonhIqa0zHarN8A6-CNG1zw2H_2CiIOFkeQHd5IbyD2-Q3X-Cnuu7DD-YS3IWV-B9iAdd4NgJfSf0CHezlEpyGdoRMruwTn33uK1g_36_myWD0vHud3q0Kzkg8FV1LXquGUG8Vq0ZSgJKWGEWYkE8IanrmZ0twKI0idQ_CKMwGl0YJwxabo8mi7lUnLzkbptUvtNrpexn1LeTWrSJkxcsR0DClFsK12gzwEHqJ0XUtJe2is_W0sS67-SH5M_8NfBC9vWQ
CODEN NUMMA7
CitedBy_id crossref_primary_10_1002_pamm_202100219
crossref_primary_10_1515_ms_2021_0059
crossref_primary_10_1137_23M1565413
crossref_primary_10_1049_smt2_12041
crossref_primary_10_1155_2013_841690
crossref_primary_10_1177_1176934320901721
crossref_primary_10_1090_mcom_3277
crossref_primary_10_1137_17M1160124
crossref_primary_10_1109_TIM_2013_2278598
crossref_primary_10_1002_mma_5583
crossref_primary_10_1007_s00211_006_0054_x
crossref_primary_10_1016_j_jmaa_2005_03_101
crossref_primary_10_1090_S0025_5718_06_01856_4
crossref_primary_10_1137_19M1237272
crossref_primary_10_1186_s13660_020_02380_2
crossref_primary_10_1007_s10543_010_0293_1
crossref_primary_10_1137_100786022
crossref_primary_10_1122_1_4929398
crossref_primary_10_1016_j_jat_2014_05_018
crossref_primary_10_1007_s11075_021_01140_7
crossref_primary_10_1016_j_apnum_2018_01_020
crossref_primary_10_1016_j_jcp_2022_111262
crossref_primary_10_1137_19M1241647
crossref_primary_10_1016_j_laa_2007_10_029
crossref_primary_10_1016_j_acha_2020_10_004
crossref_primary_10_1137_17M1132409
crossref_primary_10_1137_19M1244433
crossref_primary_10_1137_23M1623215
crossref_primary_10_1111_1365_2478_13210
crossref_primary_10_1002_mmce_21095
crossref_primary_10_1007_s10107_016_1043_1
crossref_primary_10_1016_j_laa_2009_10_033
crossref_primary_10_1103_PhysRevE_72_056709
crossref_primary_10_1016_j_acha_2017_07_006
crossref_primary_10_1016_j_laa_2016_07_022
crossref_primary_10_1137_16M1096426
crossref_primary_10_1016_j_laa_2020_08_034
crossref_primary_10_1016_S0167_6911_02_00147_0
crossref_primary_10_1137_23M1577109
crossref_primary_10_1137_060652737
crossref_primary_10_3934_dcds_2017198
crossref_primary_10_1007_s00025_019_1129_1
crossref_primary_10_1016_j_amc_2019_124628
crossref_primary_10_1016_j_laa_2017_04_015
crossref_primary_10_1137_S0895479803374840
crossref_primary_10_1016_j_cam_2012_10_010
crossref_primary_10_1049_iet_map_2018_5608
crossref_primary_10_1515_conop_2020_0112
crossref_primary_10_1016_S0024_3795_02_00685_7
crossref_primary_10_1137_18M1181985
crossref_primary_10_1016_j_amc_2004_06_060
crossref_primary_10_1016_j_jsc_2008_11_003
crossref_primary_10_1007_s10851_006_8454_1
crossref_primary_10_1016_j_laa_2018_09_026
crossref_primary_10_1016_j_jmaa_2004_01_032
crossref_primary_10_4213_sm557
crossref_primary_10_1007_s10472_014_9425_7
crossref_primary_10_1007_s11071_014_1391_4
crossref_primary_10_1007_s10444_014_9401_0
crossref_primary_10_1016_S0096_3003_02_00391_0
crossref_primary_10_1007_s10543_017_0671_z
crossref_primary_10_1007_s00211_007_0124_8
crossref_primary_10_1137_110836584
crossref_primary_10_1515_conop_2020_0104
crossref_primary_10_1016_j_apnum_2023_07_009
crossref_primary_10_1007_s00365_010_9109_4
crossref_primary_10_1016_j_jsc_2023_102254
crossref_primary_10_1016_j_laa_2010_04_052
crossref_primary_10_1137_15M1053578
crossref_primary_10_1137_140961511
crossref_primary_10_3390_axioms13040219
crossref_primary_10_1137_19M130100X
crossref_primary_10_1137_20M1362553
crossref_primary_10_1007_s44007_022_00039_6
crossref_primary_10_1137_S0895479802405732
crossref_primary_10_1016_j_amc_2011_11_093
ContentType Journal Article
Copyright 2000 INIST-CNRS
Copyright_xml – notice: 2000 INIST-CNRS
DBID AAYXX
CITATION
IQODW
DOI 10.1007/PL00005392
DatabaseName CrossRef
Pascal-Francis
DatabaseTitle CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Computer Science
Mathematics
EndPage 577
ExternalDocumentID 1458502
10_1007_PL00005392
GroupedDBID --Z
-Y2
-~C
-~X
.86
.DC
.VR
06D
0R~
0VY
123
199
1N0
1SB
203
29N
2J2
2JN
2JY
2KG
2KM
2LR
2P1
2VQ
2WC
2~H
30V
4.4
406
408
409
40D
40E
41~
5QI
5VS
67Z
692
6NX
6TJ
78A
8TC
8UJ
95-
95.
95~
96X
AAAVM
AABHQ
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AAPKM
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAYXX
AAYZH
ABAKF
ABBBX
ABBRH
ABBXA
ABDBE
ABDZT
ABECU
ABFSG
ABFTV
ABHLI
ABHQN
ABJNI
ABJOX
ABKCH
ABKTR
ABLJU
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABSXP
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABWNU
ABXPI
ACAOD
ACBXY
ACGFO
ACGFS
ACHSB
ACHXU
ACIWK
ACKNC
ACMDZ
ACMFV
ACMLO
ACOKC
ACOMO
ACPIV
ACREN
ACSTC
ACZOJ
ADHHG
ADHIR
ADHKG
ADIMF
ADKNI
ADKPE
ADRFC
ADTPH
ADURQ
ADYFF
ADYOE
ADZKW
AEBTG
AEFIE
AEFQL
AEGAL
AEGNC
AEJHL
AEJRE
AEKMD
AEMSY
AENEX
AEOHA
AEPYU
AESKC
AETLH
AEVLU
AEXYK
AEZWR
AFBBN
AFDYV
AFDZB
AFEXP
AFFNX
AFGCZ
AFHIU
AFLOW
AFOHR
AFQWF
AFWTZ
AFYQB
AFZKB
AGAYW
AGDGC
AGGDS
AGJBK
AGMZJ
AGQEE
AGQMX
AGQPQ
AGRTI
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHPBZ
AHSBF
AHWEU
AHYZX
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AIXLP
AJBLW
AJRNO
AJZVZ
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMTXH
AMXSW
AMYLF
AMYQR
AOCGG
ARMRJ
ASPBG
ATHPR
AVWKF
AXYYD
AYFIA
AYJHY
AZFZN
B-.
BA0
BAPOH
BBWZM
BDATZ
BGNMA
BSONS
CAG
CITATION
COF
CS3
CSCUP
DDRTE
DL5
DNIVK
DPUIP
EBLON
EBS
EIOEI
EJD
ESBYG
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNWQR
GQ7
GQ8
GXS
H13
HF~
HG5
HG6
HMJXF
HQYDN
HRMNR
HVGLF
HZ~
H~9
I09
IHE
IJ-
IKXTQ
ITM
IWAJR
IXC
IZIGR
IZQ
I~X
I~Z
J-C
J0Z
JBSCW
JCJTX
JZLTJ
KDC
KOV
KOW
KQ8
LAS
LLZTM
LO0
M4Y
MA-
N2Q
N9A
NB0
NDZJH
NPVJJ
NQJWS
NU0
O9-
O93
O9G
O9I
O9J
OAM
OK1
P19
P2P
P9R
PF0
PT4
PT5
QOK
QOS
R4E
R89
R9I
REI
RHV
RIG
RNI
RNS
ROL
RPX
RSV
RZK
S16
S1Z
S26
S27
S28
S3B
SAP
SCLPG
SDD
SDH
SDM
SHX
SISQX
SJYHP
SMT
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
T16
TN5
TSG
TSK
TSV
TUC
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
W23
W48
WH7
WK8
XJT
YLTOR
YNT
YQT
Z45
ZMTXR
ZWQNP
~EX
ABRTQ
IQODW
ID FETCH-LOGICAL-c324t-4bac6b9414db36792eba11d303da377fd4c328bc4f7d70600245437e2dc704b3
ISSN 0029-599X
IngestDate Mon Jul 21 09:14:39 EDT 2025
Tue Jul 01 00:36:45 EDT 2025
Thu Apr 24 23:00:16 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 4
Keywords Hankel matrix
Rational interpolation
Positive definite matrix
Condition number
Hilbert matrix
Krylov matrix
Vandermonde matrix
Language English
License http://www.springer.com/tdm
CC BY 4.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c324t-4bac6b9414db36792eba11d303da377fd4c328bc4f7d70600245437e2dc704b3
PageCount 25
ParticipantIDs pascalfrancis_primary_1458502
crossref_citationtrail_10_1007_PL00005392
crossref_primary_10_1007_PL00005392
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2000-06-01
PublicationDateYYYYMMDD 2000-06-01
PublicationDate_xml – month: 06
  year: 2000
  text: 2000-06-01
  day: 01
PublicationDecade 2000
PublicationPlace Heidelberg
Berlin
New York, NY
PublicationPlace_xml – name: Berlin
– name: Heidelberg
– name: New York, NY
PublicationTitle Numerische Mathematik
PublicationYear 2000
Publisher Springer
Publisher_xml – name: Springer
SSID ssj0017641
Score 1.8818399
SourceID pascalfrancis
crossref
SourceType Index Database
Enrichment Source
StartPage 553
SubjectTerms Algebra
Exact sciences and technology
Linear and multilinear algebra, matrix theory
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Sciences and techniques of general use
Title The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
Volume 85
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1ba9swFBalfekYvWQb6xXB9lIyj9iWLesxLSmhWcsoSelb0BV6WVrSrA_79T2SLF-2Qte-mKDIF_RJx-dY53wfQl-TVJGUFyaSnBUR0TyLONNZZJ3fnMZGp04l4vQsH07IyWV2WQveueqShfgu_zxbV_IWVKENcLVVsq9AtrooNMBvwBeOgDAc_xtjiGeVS7vqenEP6_3NLVvwhatbgWfxxLqjOYTmj54XwCVqPdqKKXNlfc7ukM9u9G33l-PrL7MKr0Nhrt3TgRjYihSVFK91dc_gaDQ4P-2fuWSBw9YnhF6d6tT6hNi0kwmLMuZEbis76aV1yvlAGkYv83S_5fsz87Is_5hmn41hhUrtwvcCeG3-67_eS1W2YEwgprGEoSsJpW4vfpL0q60impM45PHYR25w0NY3a3kd7-_5AywA45VLGu7EeAOtlXEA7ntQN9GSnnXQetDYwKXJ7aB31aDLhw_oAhDHFeLYI47vDLaI4wbi37DHG0MTDnjjgDf2eOOA90c0Ph6Mj4ZRqYwRSXCAFxERXOaCkZgoAUuKJVrwOFbgjiieUmoUgX6FkMRQZemR7P46SalOlKQ9ItJPaHl2N9OfETaqlxW55iLLBcT2vFA8hlUrCYcTmGFb6CAM3FSWrPFWvOR2Gviuf_4Ig7yFvlR97z1XyrO99lrjX3f1MG-_8P8OWq3n8C5aXsx_6z1wDBdi302MJ8-FZQI
linkProvider Springer Nature
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=The+condition+number+of+real+Vandermonde%2C+Krylov+and+positive+definite+Hankel+matrices&rft.jtitle=Numerische+Mathematik&rft.au=BECKERMANN%2C+B&rft.date=2000-06-01&rft.pub=Springer&rft.issn=0029-599X&rft.volume=85&rft.issue=4&rft.spage=553&rft.epage=577&rft_id=info:doi/10.1007%2Fpl00005392&rft.externalDBID=n%2Fa&rft.externalDocID=1458502
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0029-599X&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0029-599X&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0029-599X&client=summon