Inertial randomized Kaczmarz algorithms for solving coherent linear systems

In this paper, by regarding the two-subspace Kaczmarz method as an alternated inertial randomized Kaczmarz algorithm we present a better convergence rate estimate under a mild condition. Furthermore, we accelerate the alternated inertial randomized Kaczmarz algorithm and introduce a multi-step inert...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Numerical algorithms Ročník 99; číslo 1; s. 133 - 163
Hlavní autori: He, Songnian, Wang, Ziting, Dong, Qiao-Li
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer US 01.05.2025
Springer Nature B.V
Predmet:
Algebra
Algorithms
Computer Science
Convergence
Convex analysis
Eigenvalues
Linear equations
Linear systems
Methods
Numeric Computing
Numerical Analysis
Original Paper
Random variables
Subspaces
Theory of Computation
System of linear equations
Two-subspace Kaczmarz method
Inertial randomized Kaczmarz algorithm
Randomized Kaczmarz algorithm
65J20
47J06
Inertial extrapolation
ISSN:1017-1398, 1572-9265
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract In this paper, by regarding the two-subspace Kaczmarz method as an alternated inertial randomized Kaczmarz algorithm we present a better convergence rate estimate under a mild condition. Furthermore, we accelerate the alternated inertial randomized Kaczmarz algorithm and introduce a multi-step inertial randomized Kaczmarz algorithm which is proved to have a faster convergence rate. Numerical experiments support the theory results and illustrate that the multi-inertial randomized Kaczmarz algorithm significantly outperform the two-subspace Kaczmarz method in solving coherent linear systems.
AbstractList In this paper, by regarding the two-subspace Kaczmarz method as an alternated inertial randomized Kaczmarz algorithm we present a better convergence rate estimate under a mild condition. Furthermore, we accelerate the alternated inertial randomized Kaczmarz algorithm and introduce a multi-step inertial randomized Kaczmarz algorithm which is proved to have a faster convergence rate. Numerical experiments support the theory results and illustrate that the multi-inertial randomized Kaczmarz algorithm significantly outperform the two-subspace Kaczmarz method in solving coherent linear systems.
Author He, Songnian
Dong, Qiao-Li
Wang, Ziting
Author_xml – sequence: 1
  givenname: Songnian
  surname: He
  fullname: He, Songnian
  organization: Tianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China
– sequence: 2
  givenname: Ziting
  surname: Wang
  fullname: Wang, Ziting
  organization: College of Science, Civil Aviation University of China
– sequence: 3
  givenname: Qiao-Li
  surname: Dong
  fullname: Dong, Qiao-Li
  email: dongql@lsec.cc.ac.cn
  organization: Tianjin Key Laboratory for Advanced Signal Processing and College of Science, Civil Aviation University of China
BookMark eNp9kE1rAyEQhqWk0CTtH-hJ6Hnb0f1w91hCP0ICveQurrqJYVdTNYXk19d2C4UeiocZ5H0c55mhiXVWI3RL4J4AsIdACLAyA1pkQGpGM3qBpqRMTUOrcpJ6ICwjeVNfoVkIe4CEUTZFq6XVPhrRYy-scoM5a4VXQp4H4c9Y9FvnTdwNAXfO4-D6D2O3WLqd9tpG3BurRbo_haiHcI0uO9EHffNT52jz_LRZvGbrt5fl4nGdybwhMSsaWWsFCmomhYB0pG6pYG1RMSHbXMmOlBVUObRKgehAKVIQ3aiSKSVIPkd347MH796POkS-d0dv00SekyZtVlYUUqoeU9K7ELzuuDRRRONs9ML0nAD_MsdHczyZ49_mOE0o_YMevEk-Tv9D-QiFFLZb7X9_9Q_1CY5UhKE
CitedBy_id crossref_primary_10_1007_s10092_024_00621_0
crossref_primary_10_1007_s10773_024_05858_7
Cites_doi 10.1016/j.laa.2012.12.022
10.1007/s10898-018-0727-x
10.1007/s00041-012-9248-z
10.1137/15M1046095
10.1137/21M1422963
10.1109/42.538946
10.1007/s10589-020-00220-z
10.1137/120896219
10.1137/15M1014425
10.1016/0041-5553(64)90137-5
10.1137/1023097
10.1016/S0377-0427(00)00361-7
10.1109/ECC.2015.7330562
10.1109/42.241889
10.1016/j.apnum.2020.06.009
10.1007/s10957-018-1226-4
10.1137/080716542
10.1137/17M1137747
10.1007/s10107-021-01649-8
10.1007/978-1-4419-9467-7
10.19139/124
10.1007/s00041-008-9030-4
10.1201/b16485
ContentType Journal Article
Copyright The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024 Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
Copyright Springer Nature B.V. May 2025
Copyright_xml – notice: The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024 Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
– notice: Copyright Springer Nature B.V. May 2025
DBID AAYXX
CITATION
8FE
8FG
ABJCF
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
GNUQQ
HCIFZ
JQ2
K7-
L6V
M7S
P62
PHGZM
PHGZT
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
DOI 10.1007/s11075-024-01872-2
DatabaseName CrossRef
ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central UK/Ireland
Advanced Technologies & Computer Science Collection
ProQuest Central Essentials - QC
ProQuest Central
ProQuest Technology Collection
ProQuest One
ProQuest Central
ProQuest Central Student
SciTech Premium Collection
ProQuest Computer Science Collection
Computer Science Database
ProQuest Engineering Collection
Engineering Database
ProQuest Advanced Technologies & Aerospace Collection
Proquest Central Premium
ProQuest One Academic (New)
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
DatabaseTitle CrossRef
Computer Science Database
ProQuest Central Student
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Computer Science Collection
SciTech Premium Collection
ProQuest One Community College
ProQuest Central China
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ProQuest Central Korea
ProQuest Central (New)
Engineering Collection
Advanced Technologies & Aerospace Collection
Engineering Database
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
ProQuest One Academic
ProQuest One Academic (New)
DatabaseTitleList
Computer Science Database
Database_xml – sequence: 1
  dbid: BENPR
  name: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
Mathematics
Computer Science
EISSN 1572-9265
EndPage 163
ExternalDocumentID 10_1007_s11075_024_01872_2
GrantInformation_xml – fundername: Open Fund of Tianjin Key Lab for Advanced Signal Processing
  grantid: 2022ASP-TJ01
– fundername: National Natural Science Foundation of China
  grantid: 1227127
GroupedDBID -Y2
-~C
.86
.DC
.VR
06D
0R~
0VY
123
1N0
1SB
2.D
203
29N
2J2
2JN
2JY
2KG
2KM
2LR
2P1
2VQ
2~H
30V
4.4
406
408
409
40D
40E
5QI
5VS
67Z
6NX
8TC
8UJ
95-
95.
95~
96X
AAAVM
AABHQ
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AAOBN
AAPKM
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAYZH
ABAKF
ABBBX
ABBRH
ABBXA
ABDBE
ABDZT
ABECU
ABFTD
ABFTV
ABHLI
ABHQN
ABJCF
ABJNI
ABJOX
ABKCH
ABKTR
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABSXP
ABTAH
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABWNU
ABXPI
ACAOD
ACBXY
ACDTI
ACGFS
ACHSB
ACHXU
ACIWK
ACKNC
ACMDZ
ACMLO
ACOKC
ACOMO
ACPIV
ACSNA
ACZOJ
ADHHG
ADHIR
ADHKG
ADIMF
ADKNI
ADKPE
ADRFC
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEFIE
AEFQL
AEGAL
AEGNC
AEJHL
AEJRE
AEKMD
AEMSY
AENEX
AEOHA
AEPYU
AESKC
AETLH
AEVLU
AEXYK
AFBBN
AFDZB
AFEXP
AFGCZ
AFKRA
AFLOW
AFQWF
AFWTZ
AFZKB
AGAYW
AGDGC
AGGDS
AGJBK
AGMZJ
AGQEE
AGQMX
AGQPQ
AGRTI
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHPBZ
AHSBF
AHYZX
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJRNO
AJZVZ
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMXSW
AMYLF
AMYQR
AOCGG
ARAPS
ARMRJ
ASPBG
AVWKF
AXYYD
AYFIA
AYJHY
AZFZN
B-.
BA0
BBWZM
BDATZ
BENPR
BGLVJ
BGNMA
BSONS
CAG
CCPQU
COF
CS3
CSCUP
DDRTE
DL5
DNIVK
DPUIP
DU5
EBLON
EBS
EIOEI
EJD
ESBYG
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNWQR
GQ7
GQ8
GXS
H13
HCIFZ
HF~
HG5
HG6
HMJXF
HQYDN
HRMNR
HVGLF
HZ~
I09
IHE
IJ-
IKXTQ
ITM
IWAJR
IXC
IZIGR
IZQ
I~X
I~Z
J-C
J0Z
JBSCW
JCJTX
JZLTJ
K7-
KDC
KOV
KOW
LAK
LLZTM
M4Y
M7S
MA-
N2Q
N9A
NB0
NDZJH
NPVJJ
NQJWS
NU0
O9-
O93
O9G
O9I
O9J
OAM
OVD
P19
P2P
P9O
PF0
PHGZT
PT4
PT5
PTHSS
QOK
QOS
R4E
R89
R9I
RHV
RNI
RNS
ROL
RPX
RSV
RZC
RZE
RZK
S16
S1Z
S26
S27
S28
S3B
SAP
SCJ
SCLPG
SCO
SDH
SDM
SHX
SISQX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
T16
TEORI
TSG
TSK
TSV
TUC
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
VOH
W23
W48
WK8
YLTOR
Z45
ZMTXR
ZY4
~EX
AAYXX
ABFSG
ABRTQ
ACSTC
AEZWR
AFFHD
AFHIU
AFOHR
AHWEU
AIXLP
ATHPR
CITATION
PHGZM
PQGLB
8FE
8FG
AZQEC
DWQXO
GNUQQ
JQ2
L6V
P62
PKEHL
PQEST
PQQKQ
PQUKI
PRINS
ID FETCH-LOGICAL-c391t-49c8ed0d087caa0a0aceb2a7b467acb3dcf1560630bdd0af0dd141e9d57dda13
IEDL.DBID M7S
ISICitedReferencesCount 2
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001262227900001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1017-1398
IngestDate Wed Nov 05 09:04:14 EST 2025
Sat Nov 29 08:03:24 EST 2025
Tue Nov 18 21:50:53 EST 2025
Tue Apr 15 01:10:27 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 1
Keywords System of linear equations
Two-subspace Kaczmarz method
Inertial randomized Kaczmarz algorithm
Randomized Kaczmarz algorithm
65J20
47J06
Inertial extrapolation
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c391t-49c8ed0d087caa0a0aceb2a7b467acb3dcf1560630bdd0af0dd141e9d57dda13
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
PQID 3190015620
PQPubID 2043837
PageCount 31
ParticipantIDs proquest_journals_3190015620
crossref_citationtrail_10_1007_s11075_024_01872_2
crossref_primary_10_1007_s11075_024_01872_2
springer_journals_10_1007_s11075_024_01872_2
PublicationCentury 2000
PublicationDate 20250500
2025-05-00
20250501
PublicationDateYYYYMMDD 2025-05-01
PublicationDate_xml – month: 5
  year: 2025
  text: 20250500
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle Numerical algorithms
PublicationTitleAbbrev Numer Algor
PublicationYear 2025
Publisher Springer US
Springer Nature B.V
Publisher_xml – name: Springer US
– name: Springer Nature B.V
References T Goldstein (1872_CR13) 2014; 7
A Ma (1872_CR20) 2015; 36
GT Herman (1872_CR15) 1993; 12
1872_CR18
Y Shehu (1872_CR27) 2020; 157
1872_CR8
1872_CR11
1872_CR12
Y Censor (1872_CR7) 1981; 23
MdS Morshed (1872_CR21) 2022; 194
1872_CR10
T Strohmer (1872_CR28) 2000; 122
N Loizou (1872_CR19) 2020; 77
1872_CR3
S Kaczmarz (1872_CR17) 1937; 35
ZZ Bai (1872_CR2) 2018; 40
D Needell (1872_CR24) 2013; 19
BT Polyak (1872_CR26) 1964; 4
SN He (1872_CR14) 2010; 217
H Attouch (1872_CR1) 2016; 26
1872_CR25
F Iutzeler (1872_CR16) 2018; 176
Z Mu (1872_CR22) 2015; 3
N Gazagnadou (1872_CR9) 2022; 43
D Needell (1872_CR23) 2014; 441
CL Byrne (1872_CR6) 2014
J Browne (1872_CR5) 1996; 15
T Strohmer (1872_CR29) 2009; 15
A Beck (1872_CR4) 2009; 2
References_xml – volume: 441
  start-page: 199
  year: 2014
  ident: 1872_CR23
  publication-title: Linear Algebra Appl.
  doi: 10.1016/j.laa.2012.12.022
– ident: 1872_CR8
  doi: 10.1007/s10898-018-0727-x
– volume: 19
  start-page: 256
  year: 2013
  ident: 1872_CR24
  publication-title: J. Fourier Anal. Appl.
  doi: 10.1007/s00041-012-9248-z
– volume: 26
  start-page: 1824
  issue: 3
  year: 2016
  ident: 1872_CR1
  publication-title: SIAM J. Optim.
  doi: 10.1137/15M1046095
– volume: 43
  start-page: 1440
  issue: 3
  year: 2022
  ident: 1872_CR9
  publication-title: SIAM J. Matrix Anal. Appl.
  doi: 10.1137/21M1422963
– volume: 15
  start-page: 687
  year: 1996
  ident: 1872_CR5
  publication-title: IEEE Trans. Med. Imag.
  doi: 10.1109/42.538946
– volume: 77
  start-page: 653
  year: 2020
  ident: 1872_CR19
  publication-title: Comput. Optim. Appl.
  doi: 10.1007/s10589-020-00220-z
– volume: 7
  start-page: 1588
  issue: 3
  year: 2014
  ident: 1872_CR13
  publication-title: SIAM J. Imaging Sc.
  doi: 10.1137/120896219
– volume: 35
  start-page: 355
  year: 1937
  ident: 1872_CR17
  publication-title: Bull. Int. Acad. Polon. Sci. Lett. A
– volume: 36
  start-page: 1590
  year: 2015
  ident: 1872_CR20
  publication-title: SIAM J. Matrix Anal. Appl.
  doi: 10.1137/15M1014425
– ident: 1872_CR25
– volume: 4
  start-page: 1
  year: 1964
  ident: 1872_CR26
  publication-title: USSR. Comput. Math. Math. Phys.
  doi: 10.1016/0041-5553(64)90137-5
– volume: 23
  start-page: 444
  year: 1981
  ident: 1872_CR7
  publication-title: SIAM Rev.
  doi: 10.1137/1023097
– ident: 1872_CR12
– volume: 122
  start-page: 297
  issue: 1–2
  year: 2000
  ident: 1872_CR28
  publication-title: J. Comput. Appl. Math.
  doi: 10.1016/S0377-0427(00)00361-7
– ident: 1872_CR10
  doi: 10.1109/ECC.2015.7330562
– volume: 12
  start-page: 600
  year: 1993
  ident: 1872_CR15
  publication-title: IEEE T. Med. Imaging
  doi: 10.1109/42.241889
– ident: 1872_CR18
– volume: 157
  start-page: 315
  year: 2020
  ident: 1872_CR27
  publication-title: Appl. Numer. Math.
  doi: 10.1016/j.apnum.2020.06.009
– volume: 217
  start-page: 4239
  year: 2010
  ident: 1872_CR14
  publication-title: Appl. Math. Comput.
– volume: 176
  start-page: 688
  year: 2018
  ident: 1872_CR16
  publication-title: J. Optimiz. Theory App.
  doi: 10.1007/s10957-018-1226-4
– volume: 2
  start-page: 183
  issue: 1
  year: 2009
  ident: 1872_CR4
  publication-title: SIAM J. Imaging Sci.
  doi: 10.1137/080716542
– volume: 40
  start-page: A592
  year: 2018
  ident: 1872_CR2
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/17M1137747
– volume: 194
  start-page: 719
  year: 2022
  ident: 1872_CR21
  publication-title: Math. Program.
  doi: 10.1007/s10107-021-01649-8
– ident: 1872_CR3
  doi: 10.1007/978-1-4419-9467-7
– volume: 3
  start-page: 241
  year: 2015
  ident: 1872_CR22
  publication-title: Stat. Optim. Inf. Comput.
  doi: 10.19139/124
– volume: 15
  start-page: 262
  year: 2009
  ident: 1872_CR29
  publication-title: J. Fourier Anal. Appl.
  doi: 10.1007/s00041-008-9030-4
– ident: 1872_CR11
– volume-title: Iterative Optimization in Inverse Problems
  year: 2014
  ident: 1872_CR6
  doi: 10.1201/b16485
SSID ssj0010027
Score 2.3951983
Snippet In this paper, by regarding the two-subspace Kaczmarz method as an alternated inertial randomized Kaczmarz algorithm we present a better convergence rate...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 133
SubjectTerms Algebra
Algorithms
Computer Science
Convergence
Convex analysis
Eigenvalues
Linear equations
Linear systems
Methods
Numeric Computing
Numerical Analysis
Original Paper
Random variables
Subspaces
Theory of Computation
SummonAdditionalLinks – databaseName: SpringerLINK Contemporary 1997-Present
  dbid: RSV
  link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnR1NS8MwNMj0oAenU3E6JQdvGkjTrmmPIg5lOASH7FbSJHODrZW1etiv9yVLVxQVlN5ek0d5L3kffV8IXXhMU8WUJmOqYhLoNCCp4iExxoSSoAJlPLbDJvhgEI1G8aMrCiuqbPcqJGkldV3sBp6KqSY2WRMRZwQE72bXdJsxPvrT8zp2YDwtG-ME-Qv2TeRKZb7H8Vkd1Tbml7Co1Ta95v--cw_tOusSX6-Owz7a0FkLNZ2lid09LgBUDXOoYC2087Bu4FocoP59ZhKuARfoMpXPp0vY3xdyOReLJRazl3wxLSfzAoPNi-H4mt8SWOYTUzxYYmO6CoCvuqEfomHvdnhzR9zcBSL92CtJEMtIK6poxKUQFB4J_rfgKQhVIVPg4djUX4c-TZWiArisvMDTsepypYTnH6FGlmf6GOEA3EfA1uVBCm4e94VkoY790EA1U6KNvIr6iXQ9yc1ojFlSd1M21EyAmomlZsLa6HK953XVkePX1Z2KqYm7nUUCYseWkDPaRlcVE-vXP2M7-dvyU7TNzLhgmx_ZQY1y8abP0JZ8L6fF4tye2g9q2OZc
  priority: 102
  providerName: Springer Nature
Title Inertial randomized Kaczmarz algorithms for solving coherent linear systems
URI https://link.springer.com/article/10.1007/s11075-024-01872-2
https://www.proquest.com/docview/3190015620
Volume 99
WOSCitedRecordID wos001262227900001&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: Computer Science Database
  customDbUrl:
  eissn: 1572-9265
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0010027
  issn: 1017-1398
  databaseCode: K7-
  dateStart: 20241201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/compscijour
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 1572-9265
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0010027
  issn: 1017-1398
  databaseCode: M7S
  dateStart: 20241201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1572-9265
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0010027
  issn: 1017-1398
  databaseCode: BENPR
  dateStart: 20241201
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVAVX
  databaseName: SpringerLINK Contemporary 1997-Present
  customDbUrl:
  eissn: 1572-9265
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0010027
  issn: 1017-1398
  databaseCode: RSV
  dateStart: 19970101
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NS8MwFH_o9KAH5ydO5-jBmwbbtFvak6goynCIingraZK5get0rR721_telm0o6EUKPaRJWvp7eXkv7wvgMODG11wb1vV1wiKTRSzTosVImNAKt0CVdG2xCdHpxM_PyZ07cCucW-WUJ1pGrYeKzshPkFRs2C_3T9_eGVWNIuuqK6GxCEuUJSGwrnsPMysC6VzW2omcGCWd2AXNTELnUO-h2GTywYgFZ_z7xjSXNn8YSO2-c1X97xevw5qTOL2zCYlswILJN6HqpE_Pre1iE1ZvZxlciy1o3-TkcY0DcTPTw0F_jJ3bUo0HcjT25OsLvqnsDQoPhV4P6ZfOJTw17FH0YOmR7CqxfZIOfRsery4fL66ZK7zAVJgEJYsSFRvtaz8WSkofL4UKuBQZclWpMgSxSwHYrdDPtPYlwqyDKDCJbgqtZRDuQCUf5mYXvAj1R5ytKaIM9TwRSsVbJglb1Gq4ljUIpj89VS4pOdXGeE3n6ZQJqBSBSi1QKa_B0WzM2yQlx5-961N0Urc8i3QOTQ2Op_jOH_8-297fs-3DCqf6wNYhsg6VcvRhDmBZfZb9YtSApfPLzt19AxbbgjUsqeL9_uHpC3oT7X0
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LTxsxEB7RUKntAQqlIhCoD_TUWux6N_s4IMRTRIEIVTlws7y2Q5DIg-wWRP4T_5GZfSSiUrlxQHvz2qP1-vN4xvMC2HGFdYwwlvccE3PfJj5PTBhwEiaMxiNQx7282ETY6URXV_HlAjxVsTDkVlnxxJxRm5GmO_JdhEoe9iuc_fEdp6pRZF2tSmgUsGjbxwdU2dK91jGu708hTk-6R2e8rCrAtRe7GfdjHVnjGCcKtVIOPhq1SxUmyDKUTvALexRdHHhOYoyjcA7G9V0bm2ZojHI9JPsBFn3PD5o1WDw86Vz-mZktSMnLzavI-lG0isoonSJWDxUtCoYmp48oFFy8PAnn4u0_Ftn8oDtdfme_6CsslRI1Oyi2wAos2OEqLJfSNSt5V7oKXy5mGWrTb9BuDcmjHAfiYW1Gg5spdm4rPR2oyZSp22ucWNYfpAyFeob7k-5dmB71KToyYySbK2wv0r2vQfct5vcdasPR0K4D81E_RmrN0E9Qjw09pUVgYy-gViuMqoNbrbHUZdJ1qv1xK-fpogkXEnEhc1xIUYdfszHjIuXIq70bFRhkyX5SOUdCHX5XcJq__j-1jdep_YBPZ92Lc3ne6rQ34bOgWsi582cDatnkr92Cj_o-u0kn2-XOYCDfGGjPZqVLTA
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEB5ERfRgtSpWq-bgTUPzah5HUYulWooW6W3Z7G5soU1KEj301zubR6Oigkhuk90l7OzOIzPfDMC5bgiNG1yogcY91RK-pfrcsVVpTHCGKpB5QdZswun33dHIG3xA8WfZ7mVIMsc0yCpNYdqa86BVAd_Qa5HIYplB4TqGikJ4zUKaTOp6fHpexhGk15XFO1EWo63jFrCZ79f4rJoqe_NLiDTTPJ3a_795B7YLq1O5yo_JLqyIsA61wgJVivudIKls8lDS6rD1sCzsmuxBrxvKRGxcC3Ucj2aTBc7vUbaY0Xih0OlLFE_S8SxR0BZW8FjL3xUKi8YSVJgq0qSlSM-rpO_DsHM7vL5Ti34MKjM9PVUtj7mCa1xzHUaphg9Dv5w6PgpbynzkbSBx2bap-ZxrFLnPdUsXHm87nFPdPIDVMArFISgWupW4WtuxfHT_HJMywxaeaUuqMDhtgF5ygrCiVrlsmTElVZVluZsEd5Nku0mMBlws58zzSh2_jm6WDCbFrU0IiqMMWm5oDbgsGVq9_nm1o78NP4ONwU2H3Hf7vWPYNGRH4SyFsgmrafwqTmCdvaWTJD7NDvM7ojvyJA
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=Inertial+randomized+Kaczmarz+algorithms+for+solving+coherent+linear+systems&rft.jtitle=Numerical+algorithms&rft.date=2025-05-01&rft.pub=Springer+Nature+B.V&rft.issn=1017-1398&rft.eissn=1572-9265&rft.volume=99&rft.issue=1&rft.spage=133&rft.epage=163&rft_id=info:doi/10.1007%2Fs11075-024-01872-2
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1017-1398&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1017-1398&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1017-1398&client=summon