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Author ID: bai.zhongzhi Recent zbMATH articles by "Bai, Zhongzhi"
Published as: Bai, Zhong-Zhi; Bai, Zhongzhi; Bai, Zhong Zhi; Bai, Z.-Z.; Bai, Z. Z.
Homepage: http://lsec.cc.ac.cn/~bzz/bzzeng.html
External Links: MGP
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Serials

24 Journal of Computational Mathematics
22 Linear Algebra and its Applications
20 Numerical Linear Algebra with Applications
18 Journal of Computational and Applied Mathematics
13 Computers & Mathematics with Applications
13 Numerical Algorithms
11 Applied Numerical Mathematics
9 Applied Mathematics and Computation
7 Mathematica Numerica Sinica
7 SIAM Journal on Scientific Computing
6 BIT
6 International Journal of Computer Mathematics
5 IMA Journal of Numerical Analysis
5 Numerische Mathematik
5 Applied Mathematics Letters
5 SIAM Journal on Matrix Analysis and Applications
5 Applied Mathematics. Series B (English Edition)
4 Computing
4 Numerical Mathematics
4 Parallel Algorithms and Applications
3 Acta Mathematicae Applicatae Sinica. English Series
3 Journal of Fudan University. Natural Science
3 Chinese Journal of Numerical Mathematics and Applications
3 East Asian Journal on Applied Mathematics
2 Journal of Engineering Mathematics
2 Mathematics of Computation
2 Calcolo
2 SIAM Journal on Numerical Analysis
2 Applied Mathematics and Mechanics. (English Edition)
2 Journal of Engineering Mathematics (Xi’an)
2 Japan Journal of Industrial and Applied Mathematics
2 Numerical Mathematics
1 Journal of Computational Physics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Hokkaido Mathematical Journal
1 Acta Mathematicae Applicatae Sinica
1 Journal of Mathematical Research & Exposition
1 Chinese Annals of Mathematics. Series B
1 Parallel Computing
1 Annals of Differential Equations
1 Mathematica Applicata
1 Science in China. Series A
1 Annals of Operations Research
1 Applied Mathematics. Series A (Chinese Edition)
1 Neural, Parallel & Scientific Computations
1 Communications in Numerical Methods in Engineering
1 Mathematical Modeling and Computational Experiment
1 Advances in Computational Mathematics
1 Acta Mathematica Sinica. English Series
1 International Journal of Applied Mathematics
1 Numerical Mathematics: Theory, Methods and Applications
1 Science China. Mathematics
1 Numerical Algebra, Control and Optimization
1 Other Titles in Applied Mathematics
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

211 Publications have been cited 8,225 times in 1,731 Documents Cited by Year
Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1036.65032
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
688
2003
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025
Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu
369
2004
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
293
2007
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
256
2005
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
229
2005
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
225
2010
Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181
Bai, Zhong-Zhi
221
2010
On parameterized inexact Uzawa methods for generalized saddle point problems. Zbl 1144.65020
Bai, Zhong-Zhi; Wang, Zeng-Qi
210
2008
Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041
Bai, Zhong-Zhi
199
2006
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
174
2011
Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081
Bai, Zhong-Zhi
174
2009
Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi
153
2013
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
149
2007
On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1135.65016
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
137
2008
On the convergence of the multisplitting methods for the linear complementarity problem. Zbl 0942.65059
Bai, Zhongzhi
136
1999
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
136
2007
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
131
2006
Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033
Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi
119
2009
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131
Bai, Zhong-Zhi; Zhang, Li-Li
113
2013
New preconditioners for saddle point problems. Zbl 1088.65040
Pan, Jian-Yu; Ng, Michael K.; Bai, Zhong-Zhi
111
2006
A shift-splitting preconditioner for non-Hermitian positive definite matrices. Zbl 1120.65054
Bai, Zhongzhi; Yin, Junfeng; Su, Yangfeng
107
2006
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems. Zbl 1205.65146
Bai, Zhong-Zhi
99
2010
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088
Bai, Zhong-Zhi; Zhang, Li-Li
99
2013
On semi-convergence of parameterized Uzawa methods for singular saddle point problems. Zbl 1173.65026
Zheng, Bing; Bai, Zhong-Zhi; Yang, Xi
92
2009
Matrix multisplitting relaxation methods for linear complementarity problems. Zbl 0876.90086
Bai, Zhong-Zhi; Evans, D. J.
89
1997
On inexact preconditioners for nonsymmetric matrices. Zbl 1077.65043
Bai, Zhong-Zhi; Ng, Michael K.
86
2005
Motivations and realizations of Krylov subspace methods for large sparse linear systems. Zbl 1311.65032
Bai, Zhong-Zhi
86
2015
Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018
Bai, Zhongzhi; Li, Guiqing
85
2003
On greedy randomized Kaczmarz method for solving large sparse linear systems. Zbl 1383.65024
Bai, Zhong-Zhi; Wu, Wen-Ting
74
2018
Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods. Zbl 1011.65033
Bai, Zhongzhi; Evans, D. J.
70
2002
A unified framework for the construction of various matrix multisplitting iterative methods for large sparse system of linear equations. Zbl 0870.65025
Bai, Zhongzhi; Sun, Jiachang; Wang, Deren
69
1996
Best approximate solution of matrix equation \(AXB+CYD=E\). Zbl 1096.15004
Liao, An-Ping; Bai, Zhong-Zhi; Lei, Yuan
67
2005
Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations. Zbl 1174.65382
Deng, Yuan-Bei; Bai, Zhong-Zhi; Gao, Yong-Hua
66
2006
Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems. Zbl 1026.65028
Bai, Zhong-Zhi
63
2000
Block preconditioners for elliptic PDE-constrained optimization problems. Zbl 1242.65121
Bai, Zhong-Zhi
63
2011
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. Zbl 1083.65045
Bai, Zhong-Zhi; Wang, Zeng-Qi
61
2006
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
59
2007
On preconditioned iteration methods for complex linear systems. Zbl 1360.65089
Bai, Zhong-Zhi
58
2015
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
56
2009
On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices. Zbl 1224.65133
Bai, Zhongzhi; Guo, Xueping
55
2010
A class of two-stage iterative methods for systems of weakly nonlinear equations. Zbl 0889.65055
Bai, Zhongzhi
54
1997
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Zbl 1524.65191
Bai, Zhong-Zhi; Wu, Wen-Ting
54
2018
A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part. Zbl 1054.65028
Axelsson, Owe; Bai, Zhong-Zhi; Qiu, Shou-Xia
53
2004
Rotated block triangular preconditioning based on PMHSS. Zbl 1305.65114
Bai, Zhong-Zhi
52
2013
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. Zbl 1252.15022
Bai, Zhong-Zhi
49
2013
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048
Bai, Zhong-Zhi
49
2012
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. Zbl 1463.65040
Bai, Zhong-Zhi; Lu, Kang-Ya; Pan, Jian-Yu
47
2017
Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations. Zbl 1174.65381
Bai, Zhong-Zhi; Guo, Xiao-Xia; Xu, Shu-Fang
43
2006
Matrix analysis and computations. Zbl 07417710
Bai, Zhong-Zhi; Pan, Jian-Yu
41
2021
Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices. Zbl 1267.65034
Bai, Zhong-Zhi; Chen, Fang; Wang, Zeng-Qi
41
2013
Several splittings for non-Hermitian linear systems. Zbl 1168.65014
Bai, Zhong-Zhi
40
2008
The convergence of parallel iteration algorithms for linear complementarity problems. Zbl 0873.65061
Bai, Zhongzhi
39
1996
On convergence rate of the randomized Kaczmarz method. Zbl 1391.65063
Bai, Zhong-Zhi; Wu, Wen-Ting
38
2018
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128
Bai, Zhong-Zhi; Wu, Wen-Ting
38
2019
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems. Zbl 1420.65028
Bai, Zhong-Zhi; Wu, Wen-Ting
38
2019
Splitting iteration methods for non-Hermitian positive definite systems of linear equations. Zbl 1138.65027
Bai, Zhong-Zhi
37
2007
On the monotone convergence of matrix multisplitting relaxation methods for the linear complementarity problem. Zbl 0914.65072
Bai, Zhong-Zhi
37
1998
On the convergence of additive and multiplicative splitting iterations for systems of linear equations. Zbl 1022.65035
Bai, Zhong Zhi
37
2003
Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems. Zbl 1080.65021
Bai, Zhong-Zhi; Ng, Michael K.
36
2003
On preconditioned iterative methods for Burgers equations. Zbl 1144.65034
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
34
2007
Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices. Zbl 0983.65044
Wang, Chuanlong; Bai, Zhongzhi
34
2001
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
34
2017
The constrained solutions of two matrix equations. Zbl 1028.15011
Liao, An Ping; Bai, Zhong Zhi
34
2002
A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations. Zbl 0922.65033
Bai, Zhongzhi
32
1999
Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts. Zbl 1069.65031
Wang, Li; Bai, Zhong-Zhi
31
2004
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. Zbl 1174.65014
Yin, Junfeng; Bai, Zhongzhi
30
2008
Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1166.65065
Bai, Zhong-Zhi; Gao, Yong-Hua; Lu, Lin-Zhang
28
2008
On the Meany inequality with applications to convergence analysis of several row-action iteration methods. Zbl 1306.15015
Bai, Zhong-Zhi; Liu, Xin-Guo
28
2013
Modified block SSOR preconditioners for symmetric positive definite linear systems. Zbl 1028.65018
Bai, Zhongzhi
27
2001
On SSOR-like preconditioners for non-Hermitian positive definite matrices. Zbl 1413.65040
Bai, Zhong-Zhi
27
2016
Least-squares solution of \(AXB= D\) over symmetric positive semidefinite matrices \(X\). Zbl 1029.65042
Liao, Anping; Bai, Zhongzhi
27
2003
Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations. Zbl 0892.65029
Bai, Zhongzhi
26
1997
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
25
2001
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. Zbl 1300.65020
Bai, Zhong-Zhi; Hadjidimos, Apostolos
25
2014
Modulus-based iterative methods for constrained Tikhonov regularization. Zbl 1360.65112
Bai, Zhong-Zhi; Buccini, Alessandro; Hayami, Ken; Reichel, Lothar; Yin, Jun-Feng; Zheng, Ning
24
2017
A regularized conjugate gradient method for symmetric positive definite system of linear equations. Zbl 1002.65040
Bai, Zhongzhi; Zhang, Shaoliang
24
2002
Parallel nonlinear AOR method and its convergence. Zbl 0859.65050
Bai, Zhongzhi
23
1996
On the monotone convergence of the projected iteration methods for linear complementarity problems. Zbl 0926.65059
Bai, Zhongzhi
23
1996
On preconditioned iterative methods for certain time-dependent partial differential equations. Zbl 1195.65032
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
22
2009
Block and asynchronous two-stage methods for mildly nonlinear systems. Zbl 0941.65047
Bai, Zhongzhi; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
22
1999
Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems. Zbl 1184.65038
Krukier, Lev A.; Martynova, Tatiana S.; Bai, Zhong-Zhi
22
2009
Chaotic iterative methods for the linear complementarity problems. Zbl 0927.65079
Bai, Zhongzhi; Evans, D. J.
21
1998
The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations. Zbl 0885.65038
Bai, Zhongzhi; Wang, Deren
21
1997
Modulus-based multigrid methods for linear complementarity problems. Zbl 1463.65160
Bai, Zhong-Zhi; Zhang, Li-Li
21
2017
On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. Zbl 1079.65052
Guo, Xiaoxia; Bai, Zhongzhi
20
2005
Parallel matrix multisplitting block relaxation iteration methods. Zbl 0860.65020
Bai, Zhongzhi
20
1995
A class of asynchronous parallel multisplitting relaxation methods for large sparse linear complementarity problems. Zbl 1047.65041
Bai, Zhongzhi; Huang, Yuguang
19
2003
Convergence conditions for splitting iteration methods for non-Hermitian linear systems. Zbl 1135.65018
Wang, Li; Bai, Zhong-Zhi
19
2008
Generalized matrix multisplitting relaxation methods and their convergence. Zbl 0849.65016
Bai, Zhongzhi; Wang, Deren
17
1993
A class of parallel nonlinear multisplitting relaxation methods for the large sparse nonlinear complementarity problems. Zbl 0865.65048
Bai, Zhongzhi; Wang, Deren
17
1996
On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations. Zbl 1249.65093
Gao, Yong-Hua; Bai, Zhong-Zhi
17
2011
On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1483.65065
Bai, Zhong-Zhi; Wu, Wen-Ting
17
2021
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts. Zbl 1513.65063
Bai, Zhong-Zhi
17
2018
On convergence of the inner-outer iteration method for computing Pagerank. Zbl 1264.65041
Bai, Zhong-Zhi
17
2012
On nonsingularity of block two-by-two matrices. Zbl 1283.15009
Bai, Zheng-Jian; Bai, Zhong-Zhi
17
2013
A class of asynchronous parallel matrix multisplitting relaxation methods. Zbl 1049.68936
Wang, Deren; Bai, Zhongzhi; Evans, D. J.
16
1994
On the numerical behavior of matrix splitting iteration methods for solving linear systems. Zbl 1317.65089
Bai, Zhong-Zhi; Rozložník, Miroslav
16
2015
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. Zbl 1453.65062
Bai, Zhong-Zhi; Lu, Kang-Ya
16
2020
Parallel chaotic multisplitting iterative methods for the large sparse linear complementarity problem. Zbl 0987.65051
Bai, Zhongzhi
15
2001
A modified damped Newton method for linear complementarity problems. Zbl 1106.65052
Bai, Zhong-Zhi; Dong, Jun-Liang
15
2006
On convergence rates of Kaczmarz-type methods with different selection rules of working rows. Zbl 07699043
Bai, Zhong-Zhi; Wang, Lu
2
2023
Randomized Kaczmarz iteration methods: algorithmic extensions and convergence theory. Zbl 1526.65006
Bai, Zhong-Zhi; Wu, Wen-Ting
1
2023
On relaxed greedy randomized augmented Kaczmarz methods for solving large sparse inconsistent linear systems. Zbl 1481.65067
Bai, Zhong-Zhi; Wang, Lu; Muratova, Galina V.
8
2022
Matrix analysis and computations. Zbl 07417710
Bai, Zhong-Zhi; Pan, Jian-Yu
41
2021
On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1483.65065
Bai, Zhong-Zhi; Wu, Wen-Ting
17
2021
On convergence rate of the randomized Gauss-Seidel method. Zbl 1459.65040
Bai, Zhong-Zhi; Wang, Lu; Wu, Wen-Ting
13
2021
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations. Zbl 1466.49029
Bai, Zhong-Zhi; Lu, Kang-Ya
8
2021
The power method and beyond. Zbl 1460.65038
Bai, Zhong-Zhi; Wu, Wen-Ting; Muratova, Galina V.
4
2021
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. Zbl 1453.65062
Bai, Zhong-Zhi; Lu, Kang-Ya
16
2020
On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations. Zbl 1463.65039
Bai, Zhong-Zhi; Lu, Kang-Ya
3
2020
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128
Bai, Zhong-Zhi; Wu, Wen-Ting
38
2019
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems. Zbl 1420.65028
Bai, Zhong-Zhi; Wu, Wen-Ting
38
2019
On banded \(M\)-splitting iteration methods for solving discretized spatial fractional diffusion equations. Zbl 1450.65102
Bai, Zhong-Zhi; Lu, Kang-Ya
14
2019
Regularized HSS iteration methods for stabilized saddle-point problems. Zbl 1496.65046
Bai, Zhongzhi
12
2019
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems. Zbl 1442.65053
Bai, Zhong-Zhi; Miao, Cun-Qiang; Jian, Shuai
5
2019
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces. Zbl 1434.65031
Bai, Zhong-Zhi; Miao, Cun-Qiang
3
2019
On greedy randomized Kaczmarz method for solving large sparse linear systems. Zbl 1383.65024
Bai, Zhong-Zhi; Wu, Wen-Ting
74
2018
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Zbl 1524.65191
Bai, Zhong-Zhi; Wu, Wen-Ting
54
2018
On convergence rate of the randomized Kaczmarz method. Zbl 1391.65063
Bai, Zhong-Zhi; Wu, Wen-Ting
38
2018
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts. Zbl 1513.65063
Bai, Zhong-Zhi
17
2018
On spectral clustering of HSS preconditioner for generalized saddle-point matrices. Zbl 1398.65036
Bai, Zhong-Zhi
13
2018
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Zbl 1524.65126
Bai, Zhong-Zhi
12
2018
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. Zbl 1463.65040
Bai, Zhong-Zhi; Lu, Kang-Ya; Pan, Jian-Yu
47
2017
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
34
2017
Modulus-based iterative methods for constrained Tikhonov regularization. Zbl 1360.65112
Bai, Zhong-Zhi; Buccini, Alessandro; Hayami, Ken; Reichel, Lothar; Yin, Jun-Feng; Zheng, Ning
24
2017
Modulus-based multigrid methods for linear complementarity problems. Zbl 1463.65160
Bai, Zhong-Zhi; Zhang, Li-Li
21
2017
On local quadratic convergence of inexact simplified Jacobi-Davidson method. Zbl 1359.65055
Bai, Zhong-Zhi; Miao, Cun-Qiang
14
2017
On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems. Zbl 1373.65022
Bai, Zhong-Zhi; Miao, Cun-Qiang
11
2017
On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints. Zbl 1352.65096
Bai, Zhong-Zhi; Tao, Min
4
2017
On SSOR-like preconditioners for non-Hermitian positive definite matrices. Zbl 1413.65040
Bai, Zhong-Zhi
27
2016
Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints. Zbl 1357.65071
Bai, Zhong-Zhi; Tao, Min
9
2016
Motivations and realizations of Krylov subspace methods for large sparse linear systems. Zbl 1311.65032
Bai, Zhong-Zhi
86
2015
On preconditioned iteration methods for complex linear systems. Zbl 1360.65089
Bai, Zhong-Zhi
58
2015
On the numerical behavior of matrix splitting iteration methods for solving linear systems. Zbl 1317.65089
Bai, Zhong-Zhi; Rozložník, Miroslav
16
2015
On the solvability condition and numerical algorithm for the parameterized generalized inverse eigenvalue problem. Zbl 1317.65101
Dai, Hua; Bai, Zhong-Zhi; Wei, Ying
13
2015
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. Zbl 1300.65020
Bai, Zhong-Zhi; Hadjidimos, Apostolos
25
2014
On order-reducible sinc discretizations and block-diagonal preconditioning methods for linear third-order ordinary differential equations. Zbl 1324.65105
Bai, Zhong-Zhi; Chan, Raymond H.; Ren, Zhi-Ru
11
2014
On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations. Zbl 1282.76084
Bai, Zhong-Zhi; Ran, Yu-Hong; Yuan, Li
3
2014
Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi
153
2013
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131
Bai, Zhong-Zhi; Zhang, Li-Li
113
2013
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088
Bai, Zhong-Zhi; Zhang, Li-Li
99
2013
Rotated block triangular preconditioning based on PMHSS. Zbl 1305.65114
Bai, Zhong-Zhi
52
2013
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. Zbl 1252.15022
Bai, Zhong-Zhi
49
2013
Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices. Zbl 1267.65034
Bai, Zhong-Zhi; Chen, Fang; Wang, Zeng-Qi
41
2013
On the Meany inequality with applications to convergence analysis of several row-action iteration methods. Zbl 1306.15015
Bai, Zhong-Zhi; Liu, Xin-Guo
28
2013
On nonsingularity of block two-by-two matrices. Zbl 1283.15009
Bai, Zheng-Jian; Bai, Zhong-Zhi
17
2013
Block-triangular preconditioning methods for linear third-order ordinary differential equations based on reduced-order sinc discretizations. Zbl 1291.65226
Bai, Zhong-Zhi; Ren, Zhi-Ru
9
2013
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048
Bai, Zhong-Zhi
49
2012
On convergence of the inner-outer iteration method for computing Pagerank. Zbl 1264.65041
Bai, Zhong-Zhi
17
2012
Erratum: On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1274.65089
Bai, Zhong-Zhi; Ng, Michael K.
6
2012
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
174
2011
Block preconditioners for elliptic PDE-constrained optimization problems. Zbl 1242.65121
Bai, Zhong-Zhi
63
2011
On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations. Zbl 1249.65093
Gao, Yong-Hua; Bai, Zhong-Zhi
17
2011
On sinc discretization and banded preconditioning for linear third-order ordinary differential equations. Zbl 1245.65095
Bai, Zhong-Zhi; Chan, Raymond H.; Ren, Zhi-Ru
14
2011
On eigenvalue bounds and iteration methods for discrete algebraic Riccati equations. Zbl 1249.65092
Dai, Hua; Bai, Zhongzhi
8
2011
On convergence conditions of waveform relaxation methods for linear differential-algebraic equations. Zbl 1222.65080
Bai, Zhong-Zhi; Yang, Xi
3
2011
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
225
2010
Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181
Bai, Zhong-Zhi
221
2010
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems. Zbl 1205.65146
Bai, Zhong-Zhi
99
2010
On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices. Zbl 1224.65133
Bai, Zhongzhi; Guo, Xueping
55
2010
On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems. Zbl 1240.65122
Dai, Hua; Bai, Zhongzhi
13
2010
Block-triangular preconditioners for systems arising from edge-preserving image restoration. Zbl 1240.65165
Bai, Zhongzhi; Huang, Yumei; Ng, Michael K.
6
2010
Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081
Bai, Zhong-Zhi
174
2009
Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033
Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi
119
2009
On semi-convergence of parameterized Uzawa methods for singular saddle point problems. Zbl 1173.65026
Zheng, Bing; Bai, Zhong-Zhi; Yang, Xi
92
2009
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
56
2009
On preconditioned iterative methods for certain time-dependent partial differential equations. Zbl 1195.65032
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
22
2009
Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems. Zbl 1184.65038
Krukier, Lev A.; Martynova, Tatiana S.; Bai, Zhong-Zhi
22
2009
Numerical study on incomplete orthogonal factorization preconditioners. Zbl 1161.65036
Bai, Zhong-Zhi; Duff, Iain S.; Yin, Jun-Feng
14
2009
Modified incomplete orthogonal factorization methods using Givens rotations. Zbl 1176.65034
Bai, Zhong-Zhi; Yin, Jun-Feng
11
2009
On parameterized inexact Uzawa methods for generalized saddle point problems. Zbl 1144.65020
Bai, Zhong-Zhi; Wang, Zeng-Qi
210
2008
On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1135.65016
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
137
2008
Several splittings for non-Hermitian linear systems. Zbl 1168.65014
Bai, Zhong-Zhi
40
2008
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. Zbl 1174.65014
Yin, Junfeng; Bai, Zhongzhi
30
2008
Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1166.65065
Bai, Zhong-Zhi; Gao, Yong-Hua; Lu, Lin-Zhang
28
2008
Convergence conditions for splitting iteration methods for non-Hermitian linear systems. Zbl 1135.65018
Wang, Li; Bai, Zhong-Zhi
19
2008
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
293
2007
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
149
2007
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
136
2007
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
59
2007
Splitting iteration methods for non-Hermitian positive definite systems of linear equations. Zbl 1138.65027
Bai, Zhong-Zhi
37
2007
On preconditioned iterative methods for Burgers equations. Zbl 1144.65034
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
34
2007
Modified Bernoulli iteration methods for quadratic matrix equation. Zbl 1141.65359
Bai, Zhongzhi; Gao, Yonghua
5
2007
Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041
Bai, Zhong-Zhi
199
2006
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
131
2006
New preconditioners for saddle point problems. Zbl 1088.65040
Pan, Jian-Yu; Ng, Michael K.; Bai, Zhong-Zhi
111
2006
A shift-splitting preconditioner for non-Hermitian positive definite matrices. Zbl 1120.65054
Bai, Zhongzhi; Yin, Junfeng; Su, Yangfeng
107
2006
Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations. Zbl 1174.65382
Deng, Yuan-Bei; Bai, Zhong-Zhi; Gao, Yong-Hua
66
2006
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. Zbl 1083.65045
Bai, Zhong-Zhi; Wang, Zeng-Qi
61
2006
Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations. Zbl 1174.65381
Bai, Zhong-Zhi; Guo, Xiao-Xia; Xu, Shu-Fang
43
2006
A modified damped Newton method for linear complementarity problems. Zbl 1106.65052
Bai, Zhong-Zhi; Dong, Jun-Liang
15
2006
Convergence analysis of two-stage waveform relaxation method for the initial value problems. Zbl 1101.65084
Wang, Jing; Bai, Zhong-Zhi
11
2006
Two-step iterative methods for solving the stationary convection-diffusion equation with a small parameter at the highest derivative on a uniform grid. Zbl 1210.39018
Bai, Z.-Z.; Krukier, L. A.; Martynova, T. S.
6
2006
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
256
2005
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
229
2005
On inexact preconditioners for nonsymmetric matrices. Zbl 1077.65043
Bai, Zhong-Zhi; Ng, Michael K.
86
2005
Best approximate solution of matrix equation \(AXB+CYD=E\). Zbl 1096.15004
Liao, An-Ping; Bai, Zhong-Zhi; Lei, Yuan
67
2005
On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. Zbl 1079.65052
Guo, Xiaoxia; Bai, Zhongzhi
20
2005
Least squares symmetric and skew-symmetric solutions of the matrix equation \(AXA^T+BYB^T=C\) with the least norm. Zbl 1099.65523
Liao, Anping; Bai, Zhongzhi
10
2005
Two-step waveform relaxation methods for implicit linear initial value problems. Zbl 1164.65440
Pan, Jian-Yu; Bai, Zhong-Zhi; Ng, Michael K.
10
2005
...and 111 more Documents
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Cited by 1,433 Authors

110 Bai, Zhongzhi
100 Ma, Changfeng
76 Zhang, Guofeng
49 Wu, Shiliang
44 Li, Cuixia
39 Liang, Zhaozheng
38 Cao, Yang
37 Khojasteh Salkuyeh, Davod
36 Wu, Yujiang
35 Yang, Aili
31 Huang, Zhengge
31 Zheng, Hua
29 Huang, Ting-Zhu
28 Chen, Fang
28 Cui, Jingjing
28 Yin, Junfeng
27 Li, Wen
25 Huang, Na
25 Vong, Seakweng
25 Wang, Qingwen
24 Ke, Yifen
24 Wang, Xiang
24 Wu, Qingbiao
23 Chen, Guoliang
21 Hajarian, Masoud
19 Miao, Shu-Xin
17 Fan, Hongtao
17 Guo, Xueping
17 Ren, Zhi-Ru
17 Zheng, Bing
16 Gu, Chuanqing
16 Liao, Lidan
16 Shao, Xinhui
16 Xu, Zhong
16 Zeng, Minli
15 Dehghan Takht Fooladi, Mehdi
15 Wang, Zengqi
15 Xie, Yajun
15 Zheng, Qingqing
14 Hadjidimos, Apostolos
14 Li, Jicheng
14 Wang, Chuanlong
14 Wang, Ligong
13 Dai, Hua
13 Miao, Cun-Qiang
13 Muratova, Galina V.
13 Peng, Xiaofei
13 Wu, Wenting
13 Xiao, Xiaoyong
13 Zhang, Jianhua
13 Zhang, Litao
12 Axelsson, Axel Owe Holger
12 Liu, Zhongyun
12 Yang, Xi
12 Zhang, Naimin
11 Beik, Fatemeh Panjeh Ali
11 Chen, Hao
11 Gu, Tongxiang
11 Li, Chenliang
11 Ng, Michael Kwok-Po
11 Shirilord, Akbar
11 Zhang, Jianjun
11 Zhang, Lili
10 Chao, Zhen
10 Chen, Minhong
10 Cvetković, Ljiljana
10 Evans, David John
10 Fang, Ximing
10 Li, Xu
10 Liu, Xingping
10 Lu, Kang-Ya
10 Lu, Linzhang
10 Niu, Qiang
10 Shen, Qin-Qin
10 Shi, Quan
10 Wang, Deren
10 Wang, Li
10 Wen, Ruiping
10 Yuan, Shifang
10 Zhu, Xinyun
9 Bao, Wendi
9 Benzi, Michele
9 Chen, Xiaoping
9 Dou, Yan
9 Huang, Zhengda
9 Li, Chengliang
9 Meng, Guoyan
9 Ran, Yuhong
9 Shen, Hailong
9 Tian, Zhaolu
9 Zhu, Muzheng
8 Argyros, Ioannis Konstantinos
8 Dai, Pingfei
8 Gu, Xian-Ming
8 Huang, Baohua
8 Jiang, Meiqun
8 Li, Liang
8 Mezzadri, Francesco
8 Tang, Xiao-Bin
8 Zhang, Huai
...and 1,333 more Authors
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Cited in 162 Serials

231 Applied Mathematics and Computation
190 Journal of Computational and Applied Mathematics
161 Numerical Algorithms
126 Computers & Mathematics with Applications
100 Computational and Applied Mathematics
70 Applied Mathematics Letters
62 East Asian Journal on Applied Mathematics
56 Linear Algebra and its Applications
53 International Journal of Computer Mathematics
52 Applied Numerical Mathematics
36 Numerical Linear Algebra with Applications
31 Linear and Multilinear Algebra
27 Calcolo
23 BIT
23 Japan Journal of Industrial and Applied Mathematics
21 Journal of Applied Mathematics and Computing
16 SIAM Journal on Matrix Analysis and Applications
14 Mathematical Problems in Engineering
14 Journal of Inequalities and Applications
13 Journal of Applied Mathematics
12 Journal of Optimization Theory and Applications
12 Filomat
11 SIAM Journal on Scientific Computing
11 AIMS Mathematics
9 Journal of Computational Physics
9 Journal of the Franklin Institute
9 Numerische Mathematik
9 Acta Mathematicae Applicatae Sinica. English Series
9 Journal of Scientific Computing
8 Journal of Engineering Mathematics
8 Applied Mathematical Modelling
8 Computational Optimization and Applications
8 ETNA. Electronic Transactions on Numerical Analysis
8 Optimization Letters
8 Communications on Applied Mathematics and Computation
7 Mathematics and Computers in Simulation
7 Applied Mathematics. Series B (English Edition)
7 Mediterranean Journal of Mathematics
7 Electronic Research Archive
6 Mathematics of Computation
6 Mathematica Numerica Sinica
6 Numerical Algebra, Control and Optimization
6 Journal of Applied Analysis and Computation
6 Results in Applied Mathematics
5 Inverse Problems
5 Mathematical Methods in the Applied Sciences
5 Computing
5 Advances in Computational Mathematics
4 Bulletin of the Iranian Mathematical Society
4 Advances in Applied Clifford Algebras
4 Abstract and Applied Analysis
4 Acta Mathematica Sinica. English Series
4 International Journal of Computational Methods
4 Frontiers of Mathematics in China
4 Numerical Mathematics: Theory, Methods and Applications
4 Science China. Mathematics
4 Journal of Mathematical Modeling
3 Journal of Mathematical Analysis and Applications
3 Applications of Mathematics
3 Algebra Colloquium
3 Parallel Algorithms and Applications
3 Optimization Methods & Software
3 Taiwanese Journal of Mathematics
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3 Journal of Nonlinear Science and Applications
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2 Numerical Functional Analysis and Optimization
2 Operations Research Letters
2 Applied Mathematics and Mechanics. (English Edition)
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2 Optimization
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2 Turkish Journal of Mathematics
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2 Discrete and Continuous Dynamical Systems. Series B
2 Applied Mathematics E-Notes
2 Acta Mathematica Scientia. Series A. (Chinese Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Advances in Difference Equations
2 SIAM Journal on Imaging Sciences
2 Algorithms
2 Advances in Numerical Analysis
2 Asian Journal of Control
2 Afrika Matematika
2 S\(\vec{\text{e}}\)MA Journal
2 Journal of Mahani Mathematical Research Center
2 Iranian Journal of Numerical Analysis and Optimization
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Control
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1 Automatica
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1 Opsearch
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1 SIAM Journal on Numerical Analysis
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Cited in 40 Fields

1,601 Numerical analysis (65-XX)
467 Linear and multilinear algebra; matrix theory (15-XX)
279 Operations research, mathematical programming (90-XX)
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42 Calculus of variations and optimal control; optimization (49-XX)
32 Computer science (68-XX)
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11 Probability theory and stochastic processes (60-XX)
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