A parallel algorithm for discrete least squares rational approximation

Saved in:
Bibliographic Details
Published inNumerische Mathematik Vol. 63; no. 1; pp. 99 - 121
Main Authors Van Barel, Marc, Bultheel, Adhemar
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 01.12.1992
Berlin
New York, NY
Subjects
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Sciences and techniques of general use
Rational approximation
Parallel algorithm
Least squares method
Time complexity
Orthogonal polynomial
Online AccessGet full text

Cover

Author Van Barel, Marc
Bultheel, Adhemar
Author_xml – sequence: 1
  givenname: Marc
  surname: Van Barel
  fullname: Van Barel, Marc
– sequence: 2
  givenname: Adhemar
  surname: Bultheel
  fullname: Bultheel, Adhemar
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=4721801$$DView record in Pascal Francis
BookMark eNptkE9LAzEUxINUsK1e_AQ5eBJWX_41ybEWq0LBi4K35e1uViPp7ppE0G_vahVBPL158JthmBmZdH3nCDlmcMYA9PnFGpgwyijYI1OwUhWCSzUZNXBbKGsfDsgspWcApheSTcl6SQeMGIILFMNjH31-2tK2j7TxqY4uOxocpkzTyytGl2jE7PsOR3oYYv_mt1__IdlvMSR39H3n5H59ebe6Lja3Vzer5aao-QJygW6hKqk0Ol1DhWBN21jgRhjBRCUbLh3j3KlKi9YKZJqj45UxzLCmEVaIOTnZ5Q6YagxtxK72qRzi2CO-l1JzZsYF5gR2WB37lKJry9rnr6I5og8lg_JzrvJ3rtFy-sfyE_oP_AG2aGwC
CODEN NUMMA7
CitedBy_id crossref_primary_10_1016_j_apnum_2023_07_009
crossref_primary_10_1137_S0895479893244572
crossref_primary_10_1016_j_jsv_2012_10_011
crossref_primary_10_1016_S1000_9361_08_60173_9
crossref_primary_10_1016_S0377_0427_03_00497_7
crossref_primary_10_1016_j_automatica_2014_07_002
crossref_primary_10_1007_BF02140773
crossref_primary_10_1016_j_cam_2007_03_020
crossref_primary_10_1007_s00211_005_0586_5
crossref_primary_10_1016_0377_0427_94_90327_1
crossref_primary_10_1016_j_jat_2008_05_001
crossref_primary_10_1090_S0025_5718_97_00845_4
crossref_primary_10_1016_j_cam_2007_01_006
crossref_primary_10_1137_S0895479803444454
crossref_primary_10_1016_j_cma_2006_12_001
crossref_primary_10_1109_TAC_2005_858651
crossref_primary_10_1016_j_cam_2014_03_015
Cites_doi 10.1137/0612041
10.1090/psapm/015/0160321
10.1080/00207177808922472
10.1090/S0025-5718-1991-1079030-8
10.1016/0377-0427(90)90438-6
10.1016/S0377-0427(05)80008-1
10.1007/BF01405565
10.1137/0612030
10.1137/0612024
10.1109/TAC.1981.1102805
ContentType Journal Article
Copyright 1993 INIST-CNRS
Copyright_xml – notice: 1993 INIST-CNRS
DBID AAYXX
CITATION
IQODW
DOI 10.1007/BF01385850
DatabaseName CrossRef
Pascal-Francis
DatabaseTitle CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Computer Science
Mathematics
EISSN 0945-3245
EndPage 121
ExternalDocumentID 4721801
10_1007_BF01385850
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
IQODW
ID FETCH-LOGICAL-c260t-ae65b457ae7c0ba098fd902838313b4d24e122e5b73f93a172ae2b88181dd3933
ISSN 0029-599X
IngestDate Wed Apr 02 07:39:56 EDT 2025
Tue Jul 01 03:31:21 EDT 2025
Thu Apr 24 22:55:18 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 1
Keywords Rational approximation
Parallel algorithm
Least squares method
Time complexity
Orthogonal polynomial
Language English
License http://www.springer.com/tdm
CC BY 4.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c260t-ae65b457ae7c0ba098fd902838313b4d24e122e5b73f93a172ae2b88181dd3933
PageCount 23
ParticipantIDs pascalfrancis_primary_4721801
crossref_citationtrail_10_1007_BF01385850
crossref_primary_10_1007_BF01385850
ProviderPackageCode CITATION
AAYXX
PublicationCentury 1900
PublicationDate 1992-12-00
PublicationDateYYYYMMDD 1992-12-01
PublicationDate_xml – month: 12
  year: 1992
  text: 1992-12-00
PublicationDecade 1990
PublicationPlace Heidelberg
Berlin
New York, NY
PublicationPlace_xml – name: Berlin
– name: Heidelberg
– name: New York, NY
PublicationTitle Numerische Mathematik
PublicationYear 1992
Publisher Springer
Publisher_xml – name: Springer
References W.B. Gragg (CR5) 1984; 44
M. Barel Van (CR11) 1990; 33
L. Reichel (CR6) 1991; 12
M. Barel Van (CR10) 1990; 32
G.S. Ammar (CR1) 1991; 12
L. Reichel (CR7) 1991; 57
R.K. Appiah (CR2) 1978; 28
D.L. Boley (CR3) 1987; 3
H. Rutishauser (CR8) 1963
S. Elhay (CR4) 1991; 12
Y. Shamash (CR9) 1981; 26
References_xml – volume: 3
  start-page: 595
  year: 1987
  ident: CR3
  publication-title: Physics Trust Publications
– volume: 12
  start-page: 552
  year: 1991
  ident: CR6
  publication-title: SIAM J. Matrix Anal. Appl.
  doi: 10.1137/0612041
– start-page: 219
  volume-title: Proceedings of Symposia in Applied Mathematics, vol. 15. Experimental Arithmetic, High Speed Computing and Mathematics
  year: 1963
  ident: CR8
  doi: 10.1090/psapm/015/0160321
– volume: 28
  start-page: 467
  issue: 3
  year: 1978
  ident: CR2
  publication-title: Int. J. Contr.
  doi: 10.1080/00207177808922472
– volume: 57
  start-page: 273
  year: 1991
  ident: CR7
  publication-title: Math. Comput.
  doi: 10.1090/S0025-5718-1991-1079030-8
– volume: 32
  start-page: 281
  year: 1990
  ident: CR10
  publication-title: J. Comput. Appl. Math.
  doi: 10.1016/0377-0427(90)90438-6
– volume: 33
  start-page: 331
  year: 1990
  ident: CR11
  publication-title: J. Comput. Appl. Math.
  doi: 10.1016/S0377-0427(05)80008-1
– volume: 44
  start-page: 317
  year: 1984
  ident: CR5
  publication-title: Numer. Math.
  doi: 10.1007/BF01405565
– volume: 12
  start-page: 426
  year: 1991
  ident: CR1
  publication-title: SIAM J. Matrix Anal. Appl.
  doi: 10.1137/0612030
– volume: 12
  start-page: 327
  year: 1991
  ident: CR4
  publication-title: SIAM J. Matrix Anal. Appl.
  doi: 10.1137/0612024
– volume: 26
  start-page: 1285
  issue: 6
  year: 1981
  ident: CR9
  publication-title: IEEE Trans. on Automatic Control, AC
  doi: 10.1109/TAC.1981.1102805
SSID ssj0017641
Score 1.4630744
SourceID pascalfrancis
crossref
SourceType Index Database
Enrichment Source
StartPage 99
SubjectTerms Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Sciences and techniques of general use
Title A parallel algorithm for discrete least squares rational approximation
Volume 63
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3fa9swEBYlfdkY69ZutFszBN3LCB6WJf_Qo1sSwpoGVpLRtyLJ8tbSpl3swNhf35Mt2fFaaNcXI2RhG33y6e50dx9CnxXLORFcewHTwmN5oj1OmfRg51UiSSTo5MahfzKNxnP27Sw8axkFq-ySUn5Vfx_MK3kOqtAHuJos2f9AtnkodEAb8IUrIAzXJ2GcDkzlbrD8TZjxzxuw839dV3GDJtd2CeqwIYUoykHxe2XSjAZL5_mrKon_ubhuYbl0abjmBAcsXkNJZAu6Nrk8P9Ip2PWnw0nHi3o4n8zGw7ozbZ0IVcBpNyDDORHXJWXAvZBXNLeNpLSiaH1F1GKv5jiyGyipU57vyWbfRZyT6jDSb3cgd-r-z8bUhAsyMFMTk6S3GYAxYHgqjr-3Z0VxxIgL5DFf3C1Ca1_WUTte3YoC_oC8pi5Z0ydmb9BrawjgtEb1LdrQi2205Ug2sJW52-hlg4MqdtAoxQ5y3ECOAXLsIMcV5NhCjh3kuAP5OzQfDWdHY89SYXgKDM7SEzoKJQtjoWPlS-HzJM9M3R2aUEIly-BPI0GgQxnTnFMBWqnQgUxAGyNZRjml71FvcbPQuwjTKBdC5b6KpM9iaIdKkITDJBpTISN76IubqXNl68QbupKrc1fhup3VPXTQjL2tq6M8OKrfmfBmqMX1wyP3P6IX7ZrdR71yudJ9UAVL-alaCXdNXl90
linkProvider Colorado Alliance of Research Libraries
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=A+parallel+algorithm+for+discrete+least+squares+rational+approximation&rft.jtitle=Numerische+Mathematik&rft.au=VAN+BAREL%2C+M&rft.au=BULTHEEL%2C+A&rft.date=1992-12-01&rft.pub=Springer&rft.issn=0029-599X&rft.volume=63&rft.issue=1&rft.spage=99&rft.epage=121&rft_id=info:doi/10.1007%2FBF01385850&rft.externalDBID=n%2Fa&rft.externalDocID=4721801
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