A computational algorithm for solving nearly penta-diagonal linear systems

An efficient computational algorithm for solving nearly penta-diagonal linear systems is presented. A problem arising from the spreading of a thin power-law fluid, subject to periodic boundary conditions, illustrates the algorithm.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied mathematics and computation Jg. 203; H. 2; S. 629 - 634
Hauptverfasser: Neossi Nguetchue, S.N., Abelman, S.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York, NY Elsevier Inc 15.09.2008
Elsevier
Schlagworte:
Algebra
Algebraic geometry
Computer algebra systems (CAS)
Determinants
Exact sciences and technology
Linear systems
Mathematical analysis
Mathematics
Nearly penta-diagonal matrices
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Sciences and techniques of general use
Linear systems
Determinants
Nearly penta-diagonal matrices
Computer algebra systems (CAS)
Numerical linear algebra
Determinant
Boundary condition
Algorithm
Direct method
Numerical analysis
Linear system
Matrix inversion
Applied mathematics
Computer system
Computer algebra
ISSN:0096-3003, 1873-5649
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract An efficient computational algorithm for solving nearly penta-diagonal linear systems is presented. A problem arising from the spreading of a thin power-law fluid, subject to periodic boundary conditions, illustrates the algorithm.
AbstractList An efficient computational algorithm for solving nearly penta-diagonal linear systems is presented. A problem arising from the spreading of a thin power-law fluid, subject to periodic boundary conditions, illustrates the algorithm.
Author Abelman, S.
Neossi Nguetchue, S.N.
Author_xml – sequence: 1
  givenname: S.N.
  surname: Neossi Nguetchue
  fullname: Neossi Nguetchue, S.N.
– sequence: 2
  givenname: S.
  surname: Abelman
  fullname: Abelman, S.
  email: Shirley.Abelman@wits.ac.za
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20765148$$DView record in Pascal Francis
BookMark eNp9kD9PwzAQxS1UJErhA7BlYUw4x7ETi6mq-KtKLDBbjuMUV45d2aFSvz0ugYWhy93p9H5Peu8SzZx3GqEbDAUGzO62hRxUUQI0BdACcHmG5ripSU5ZxWdoDsBZTgDIBbqMcQsANcPVHL0uM-WH3dcoR-OdtJm0Gx_M-DlkvQ9Z9HZv3CZzWgZ7yHbajTLvjNz8aK05_rN4iKMe4hU676WN-vp3L9DH48P76jlfvz29rJbrXJGyHvNeSSppW0miKKclZW2LNWU11w3jVUc6XeN0tIT1nHLWaCiBYt5Q1eI0KrJAt5PvTkYlbR-kUyaKXTCDDAdRpmQUV03S1ZNOBR9j0L1QZoo5BmmswCCO1YmtSNWJY3UCqEjVJRL_I__MTzH3E6NT9L3RQURltFO6M0GrUXTenKC_ASIOiKo
CODEN AMHCBQ
CitedBy_id crossref_primary_10_1155_2013_321032
crossref_primary_10_1080_00207160_2012_725845
crossref_primary_10_1016_j_amc_2008_07_012
crossref_primary_10_1016_j_camwa_2011_12_044
crossref_primary_10_1007_s10910_013_0224_x
crossref_primary_10_1016_j_camwa_2009_12_020
crossref_primary_10_1007_s11075_012_9626_2
crossref_primary_10_1080_00207160_2012_665903
crossref_primary_10_1016_j_physd_2025_134691
Cites_doi 10.1017/S0022112001006814
10.1016/j.jnnfm.2004.01.021
10.1063/1.1515270
ContentType Journal Article
Copyright 2008 Elsevier Inc.
2008 INIST-CNRS
Copyright_xml – notice: 2008 Elsevier Inc.
– notice: 2008 INIST-CNRS
DBID AAYXX
CITATION
IQODW
DOI 10.1016/j.amc.2008.05.012
DatabaseName CrossRef
Pascal-Francis
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 1873-5649
EndPage 634
ExternalDocumentID 20765148
10_1016_j_amc_2008_05_012
S0096300308002932
GroupedDBID --K
--M
-~X
.DC
.~1
0R~
1B1
1RT
1~.
1~5
23M
4.4
457
4G.
5GY
5VS
6J9
7-5
71M
8P~
9JN
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
ABAOU
ABEFU
ABFNM
ABFRF
ABJNI
ABMAC
ABXDB
ABYKQ
ACAZW
ACDAQ
ACGFO
ACGFS
ACRLP
ADBBV
ADEZE
ADGUI
ADIYS
ADMUD
AEBSH
AEFWE
AEKER
AENEX
AFFNX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AI.
AIEXJ
AIGVJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BKOJK
BLXMC
CS3
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
HLZ
HMJ
HVGLF
HZ~
IHE
J1W
KOM
LG9
M26
M41
MHUIS
MO0
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
RXW
SBC
SDF
SDG
SES
SEW
SME
SPC
SPCBC
SSW
SSZ
T5K
TAE
TN5
VH1
VOH
WH7
WUQ
X6Y
XPP
ZMT
~02
~G-
9DU
AATTM
AAXKI
AAYWO
AAYXX
ABWVN
ACLOT
ACRPL
ACVFH
ADCNI
ADNMO
AEIPS
AEUPX
AFJKZ
AFPUW
AGQPQ
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
APXCP
CITATION
EFKBS
~HD
AFXIZ
AGCQF
AGRNS
BNPGV
IQODW
SSH
ID FETCH-LOGICAL-c327t-fca5a5b4a3c595256bb1e5679e8694d3de71694b36f95968e02051985cb185c43
ISICitedReferencesCount 17
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000259313700016&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0096-3003
IngestDate Mon Jul 21 09:15:15 EDT 2025
Tue Nov 18 21:22:32 EST 2025
Sat Nov 29 07:23:04 EST 2025
Fri Feb 23 02:18:48 EST 2024
IsPeerReviewed true
IsScholarly true
Issue 2
Keywords Linear systems
Determinants
Nearly penta-diagonal matrices
Computer algebra systems (CAS)
Numerical linear algebra
Determinant
Boundary condition
Algorithm
Direct method
Numerical analysis
Linear system
Matrix inversion
Applied mathematics
Computer system
Computer algebra
Language English
License CC BY 4.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c327t-fca5a5b4a3c595256bb1e5679e8694d3de71694b36f95968e02051985cb185c43
PageCount 6
ParticipantIDs pascalfrancis_primary_20765148
crossref_citationtrail_10_1016_j_amc_2008_05_012
crossref_primary_10_1016_j_amc_2008_05_012
elsevier_sciencedirect_doi_10_1016_j_amc_2008_05_012
PublicationCentury 2000
PublicationDate 2008-09-15
PublicationDateYYYYMMDD 2008-09-15
PublicationDate_xml – month: 09
  year: 2008
  text: 2008-09-15
  day: 15
PublicationDecade 2000
PublicationPlace New York, NY
PublicationPlace_xml – name: New York, NY
PublicationTitle Applied mathematics and computation
PublicationYear 2008
Publisher Elsevier Inc
Elsevier
Publisher_xml – name: Elsevier Inc
– name: Elsevier
References Miladinova, Lebon, Toshev (bib2) 2004; 122
Sheid, Oron, Colinet, Thiele, Legros (bib3) 2002; 14
Rao (bib5) 2002
Karawia (bib4) 2006; 174
Miladinova, Slavtchev, Lebon, Legros (bib1) 2002; 453
Miladinova (10.1016/j.amc.2008.05.012_bib2) 2004; 122
Miladinova (10.1016/j.amc.2008.05.012_bib1) 2002; 453
Sheid (10.1016/j.amc.2008.05.012_bib3) 2002; 14
Rao (10.1016/j.amc.2008.05.012_bib5) 2002
Karawia (10.1016/j.amc.2008.05.012_bib4) 2006; 174
References_xml – year: 2002
  ident: bib5
  article-title: Applied Numerical Methods for Engineers and Scientists
– volume: 453
  start-page: 153
  year: 2002
  end-page: 175
  ident: bib1
  article-title: Long-wave instabilities of non-uniformly heated films
  publication-title: J. Fluid Mech.
– volume: 122
  start-page: 69
  year: 2004
  end-page: 78
  ident: bib2
  article-title: Thin-film flow of a power-law liquid falling down an inclined plate
  publication-title: J. Non-Newton. Fluid Mech.
– volume: 14
  start-page: 4130
  year: 2002
  end-page: 4151
  ident: bib3
  article-title: Nonlinear evolution of nonuniformly heated falling liquid films
  publication-title: Phys. Fluids
– volume: 174
  start-page: 613
  year: 2006
  end-page: 618
  ident: bib4
  article-title: A computational algorithm for solving periodic penta-diagonal linear systems
  publication-title: Appl. Math. Comput.
– volume: 174
  start-page: 613
  year: 2006
  ident: 10.1016/j.amc.2008.05.012_bib4
  article-title: A computational algorithm for solving periodic penta-diagonal linear systems
  publication-title: Appl. Math. Comput.
– volume: 453
  start-page: 153
  year: 2002
  ident: 10.1016/j.amc.2008.05.012_bib1
  article-title: Long-wave instabilities of non-uniformly heated films
  publication-title: J. Fluid Mech.
  doi: 10.1017/S0022112001006814
– volume: 122
  start-page: 69
  year: 2004
  ident: 10.1016/j.amc.2008.05.012_bib2
  article-title: Thin-film flow of a power-law liquid falling down an inclined plate
  publication-title: J. Non-Newton. Fluid Mech.
  doi: 10.1016/j.jnnfm.2004.01.021
– volume: 14
  start-page: 4130
  year: 2002
  ident: 10.1016/j.amc.2008.05.012_bib3
  article-title: Nonlinear evolution of nonuniformly heated falling liquid films
  publication-title: Phys. Fluids
  doi: 10.1063/1.1515270
– year: 2002
  ident: 10.1016/j.amc.2008.05.012_bib5
SSID ssj0007614
Score 1.9658155
Snippet An efficient computational algorithm for solving nearly penta-diagonal linear systems is presented. A problem arising from the spreading of a thin power-law...
SourceID pascalfrancis
crossref
elsevier
SourceType Index Database
Enrichment Source
Publisher
StartPage 629
SubjectTerms Algebra
Algebraic geometry
Computer algebra systems (CAS)
Determinants
Exact sciences and technology
Linear systems
Mathematical analysis
Mathematics
Nearly penta-diagonal matrices
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Sciences and techniques of general use
Title A computational algorithm for solving nearly penta-diagonal linear systems
URI https://dx.doi.org/10.1016/j.amc.2008.05.012
Volume 203
WOSCitedRecordID wos000259313700016&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: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals 2021
  customDbUrl:
  eissn: 1873-5649
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0007614
  issn: 0096-3003
  databaseCode: AIEXJ
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3Nb9MwFLfQxgGEpvGljbHJB04gV6kdO86xQkMwiV4YUm-R4zqlU5tVTYr25_P8lTQgJkDiElWRE6fv_fy-_PweQm8kMJlmVBE5B_MtpZUgJThhpOSiUhkzoGWVazaRTadyNsvjjm7j2glkdS3v7vLNf2U13ANm26Ozf8Hu7qVwA34D0-EKbIfrHzF-4tLEd22M8qnV4na7bL-tXUYhzO1CCLVxlY03NnWcAEYWbqy1OVUs79zsG67RWl13ZV6beCQuztXHlUHxLt9NFzsLiZ2PcY-mo36nyaxi3HU0iDq4FAl_7tKHwuJxmEG2pvWHCEsSL7GMl6gyY4QLX5c0ilwahiz3XF8vQEWIf3hdLHyg8xcx7yMONyO11iEd1hZfpb1O6zINv9hvYq4qj92AZKCtD2nGcxCAh5NPl7OrTm1nwheCj_8hboG7ZMCfJvqdEfNkoxpYWpXvibJnqFwfo6PgYeCJR8ZT9MDUz9Djzz3fnqOrCR5gBHcYwYARHDCCPUbwECPYYwQHjLxAXz9cXr__SEJTDaIZzVpSacUVL1PFNM85LMWyHBsustxIkadzNje2flJaMlHlPBfSgD8BVr7kugTTTqfsJTqob2tzgrACX1lXY52wapxqKWUlE66AjJwangp-ipJIpUKHivO28cmqiKmFNwUQNnRC5QUQ9hS97R7Z-HIr9w1OI-mLYC96O7AAnNz32MWATd1EFDAA_oN89W_vPUOP-pXyGh202505Rw_193bZbC8C3H4AabCYvw
linkProvider Elsevier
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+computational+algorithm+for+solving+nearly+penta-diagonal+linear+systems&rft.jtitle=Applied+mathematics+and+computation&rft.au=Neossi+Nguetchue%2C+S.N.&rft.au=Abelman%2C+S.&rft.date=2008-09-15&rft.pub=Elsevier+Inc&rft.issn=0096-3003&rft.eissn=1873-5649&rft.volume=203&rft.issue=2&rft.spage=629&rft.epage=634&rft_id=info:doi/10.1016%2Fj.amc.2008.05.012&rft.externalDocID=S0096300308002932
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0096-3003&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0096-3003&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0096-3003&client=summon