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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
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Serials

24 Journal of Computational Mathematics
21 Linear Algebra and its Applications
20 Numerical Linear Algebra with Applications
18 Journal of Computational and Applied Mathematics
13 Computers & Mathematics with Applications
12 Numerical Algorithms
9 Applied Mathematics and Computation
9 Applied Numerical Mathematics
7 SIAM Journal on Scientific Computing
6 BIT
6 International Journal of Computer Mathematics
5 IMA Journal of Numerical Analysis
5 Numerische Mathematik
5 SIAM Journal on Matrix Analysis and Applications
5 Applied Mathematics. Series B (English Edition)
4 Computing
4 Numerical Mathematics
4 Applied Mathematics Letters
4 Parallel Algorithms and Applications
3 Mathematica Numerica Sinica
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 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 Japan Journal of Industrial and Applied Mathematics
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 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

203 Publications have been cited 6,975 times in 1,444 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.
592
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
336
2004
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
264
2007
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
233
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
202
2005
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
197
2010
On parameterized inexact Uzawa methods for generalized saddle point problems. Zbl 1144.65020
Bai, Zhong-Zhi; Wang, Zeng-Qi
193
2008
Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041
Bai, Zhong-Zhi
186
2006
Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081
Bai, Zhong-Zhi
156
2009
Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181
Bai, Zhong-Zhi
155
2010
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
152
2011
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
135
2007
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
135
2013
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.
126
2008
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
120
2006
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
115
2007
On the convergence of the multisplitting methods for the linear complementarity problem. Zbl 0942.65059
Bai, Zhongzhi
112
1999
Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033
Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi
103
2009
New preconditioners for saddle point problems. Zbl 1088.65040
Pan, Jian-Yu; Ng, Michael K.; Bai, Zhong-Zhi
103
2006
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems. Zbl 1205.65146
Bai, Zhong-Zhi
94
2010
A shift-splitting preconditioner for non-Hermitian positive definite matrices. Zbl 1120.65054
Bai, Zhongzhi; Yin, Junfeng; Su, Yangfeng
91
2006
On semi-convergence of parameterized Uzawa methods for singular saddle point problems. Zbl 1173.65026
Zheng, Bing; Bai, Zhong-Zhi; Yang, Xi
88
2009
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131
Bai, Zhong-Zhi; Zhang, Li-Li
84
2013
On inexact preconditioners for nonsymmetric matrices. Zbl 1077.65043
Bai, Zhong-Zhi; Ng, Michael K.
80
2005
Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018
Bai, Zhongzhi; Li, Guiqing
79
2003
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088
Bai, Zhong-Zhi; Zhang, Li-Li
79
2013
Matrix multisplitting relaxation methods for linear complementarity problems. Zbl 0876.90086
Bai, Zhong-Zhi; Evans, D. J.
78
1997
Motivations and realizations of Krylov subspace methods for large sparse linear systems. Zbl 1311.65032
Bai, Zhong-Zhi
69
2015
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
65
1996
Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods. Zbl 1011.65033
Bai, Zhongzhi; Evans, D. J.
63
2002
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. Zbl 1083.65045
Bai, Zhong-Zhi; Wang, Zeng-Qi
57
2006
Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems. Zbl 1026.65028
Bai, Zhong-Zhi
55
2000
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
54
2006
Block preconditioners for elliptic PDE-constrained optimization problems. Zbl 1242.65121
Bai, Zhong-Zhi
53
2011
On preconditioned iteration methods for complex linear systems. Zbl 1360.65089
Bai, Zhong-Zhi
51
2015
Best approximate solution of matrix equation \(AXB+CYD=E\). Zbl 1096.15004
Liao, An-Ping; Bai, Zhong-Zhi; Lei, Yuan
51
2005
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
47
2007
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
46
2004
A class of two-stage iterative methods for systems of weakly nonlinear equations. Zbl 0889.65055
Bai, Zhongzhi
46
1997
Rotated block triangular preconditioning based on PMHSS. Zbl 1305.65114
Bai, Zhong-Zhi
44
2013
On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices. Zbl 1224.65133
Bai, Zhongzhi; Guo, Xueping
44
2010
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048
Bai, Zhong-Zhi
41
2012
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. Zbl 1252.15022
Bai, Zhong-Zhi
40
2013
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
38
2009
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
38
2006
The convergence of parallel iteration algorithms for linear complementarity problems. Zbl 0873.65061
Bai, Zhongzhi
36
1996
On the convergence of additive and multiplicative splitting iterations for systems of linear equations. Zbl 1022.65035
Bai, Zhong Zhi
35
2003
Splitting iteration methods for non-Hermitian positive definite systems of linear equations. Zbl 1138.65027
Bai, Zhong-Zhi
35
2007
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
34
2013
Several splittings for non-Hermitian linear systems. Zbl 1168.65014
Bai, Zhong-Zhi
33
2008
Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems. Zbl 1080.65021
Bai, Zhong-Zhi; Ng, Michael K.
33
2003
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Zbl 06892553
Bai, Zhong-Zhi; Wu, Wen-Ting
32
2018
The constrained solutions of two matrix equations. Zbl 1028.15011
Liao, An Ping; Bai, Zhong Zhi
31
2002
Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices. Zbl 0983.65044
Wang, Chuanlong; Bai, Zhongzhi
31
2001
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
31
2017
On preconditioned iterative methods for Burgers equations. Zbl 1144.65034
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
29
2007
On the monotone convergence of matrix multisplitting relaxation methods for the linear complementarity problem. Zbl 0914.65072
Bai, Zhong-Zhi
29
1998
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. Zbl 1174.65014
Yin, Junfeng; Bai, Zhongzhi
29
2008
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
28
2017
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
28
2004
A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations. Zbl 0922.65033
Bai, Zhongzhi
27
1999
On greedy randomized Kaczmarz method for solving large sparse linear systems. Zbl 1383.65024
Bai, Zhong-Zhi; Wu, Wen-Ting
27
2018
On SSOR-like preconditioners for non-Hermitian positive definite matrices. Zbl 1413.65040
Bai, Zhong-Zhi
25
2016
Modified block SSOR preconditioners for symmetric positive definite linear systems. Zbl 1028.65018
Bai, Zhongzhi
25
2001
Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1166.65065
Bai, Zhong-Zhi; Gao, Yong-Hua; Lu, Lin-Zhang
24
2008
Least-squares solution of \(AXB= D\) over symmetric positive semidefinite matrices \(X\). Zbl 1029.65042
Liao, Anping; Bai, Zhongzhi
23
2003
A regularized conjugate gradient method for symmetric positive definite system of linear equations. Zbl 1002.65040
Bai, Zhongzhi; Zhang, Shaoliang
23
2002
On convergence rate of the randomized Kaczmarz method. Zbl 1391.65063
Bai, Zhong-Zhi; Wu, Wen-Ting
23
2018
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
22
2017
Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations. Zbl 0892.65029
Bai, Zhongzhi
21
1997
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128
Bai, Zhong-Zhi; Wu, Wen-Ting
21
2019
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems. Zbl 1420.65028
Bai, Zhong-Zhi; Wu, Wen-Ting
21
2019
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. Zbl 1300.65020
Bai, Zhong-Zhi; Hadjidimos, Apostolos
20
2014
Parallel nonlinear AOR method and its convergence. Zbl 0859.65050
Bai, Zhongzhi
20
1996
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
20
2001
On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. Zbl 1079.65052
Guo, Xiaoxia; Bai, Zhongzhi
20
2005
The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations. Zbl 0885.65038
Bai, Zhongzhi; Wang, Deren
20
1997
Block and asynchronous two-stage methods for mildly nonlinear systems. Zbl 0941.65047
Bai, Zhongzhi; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
19
1999
Parallel matrix multisplitting block relaxation iteration methods. Zbl 0860.65020
Bai, Zhongzhi
19
1995
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
19
2009
A class of asynchronous parallel multisplitting relaxation methods for large sparse linear complementarity problems. Zbl 1047.65041
Bai, Zhongzhi; Huang, Yuguang
19
2003
On the Meany inequality with applications to convergence analysis of several row-action iteration methods. Zbl 1306.15015
Bai, Zhong-Zhi; Liu, Xin-Guo
19
2013
On preconditioned iterative methods for certain time-dependent partial differential equations. Zbl 1195.65032
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
18
2009
On the monotone convergence of the projected iteration methods for linear complementarity problems. Zbl 0926.65059
Bai, Zhongzhi
17
1996
Convergence conditions for splitting iteration methods for non-Hermitian linear systems. Zbl 1135.65018
Wang, Li; Bai, Zhong-Zhi
16
2008
Chaotic iterative methods for the linear complementarity problems. Zbl 0927.65079
Bai, Zhongzhi; Evans, D. J.
16
1998
A class of asynchronous parallel matrix multisplitting relaxation methods. Zbl 1049.68936
Wang, Deren; Bai, Zhongzhi; Evans, D. J.
16
1994
On nonsingularity of block two-by-two matrices. Zbl 1283.15009
Bai, Zheng-Jian; Bai, Zhong-Zhi
16
2013
On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations. Zbl 1249.65093
Gao, Yong-Hua; Bai, Zhong-Zhi
16
2011
Generalized matrix multisplitting relaxation methods and their convergence. Zbl 0849.65016
Bai, Zhongzhi; Wang, Deren
15
1993
Matrix multi-splitting multi-parameter relaxation methods. Zbl 0754.65033
Evans, D. J.; Wang, Deren; Bai, Zhongzhi
14
1992
On local quadratic convergence of inexact simplified Jacobi-Davidson method. Zbl 1359.65055
Bai, Zhong-Zhi; Miao, Cun-Qiang
14
2017
A class of parallel nonlinear multisplitting relaxation methods for the large sparse nonlinear complementarity problems. Zbl 0865.65048
Bai, Zhongzhi; Wang, Deren
14
1996
On convergence of the inner-outer iteration method for computing Pagerank. Zbl 1264.65041
Bai, Zhong-Zhi
14
2012
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
The convergence of the two-stage iterative method for Hermitian positive definite linear systems. Zbl 1337.65029
Bai, Zhong-Zhi
13
1998
Combinative preconditioners for modified incomplete Cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems. Zbl 1083.65098
Bai, Zhongzhi; Li, Guiqing; Lu, Linzhang
13
2004
Weak-convergence theory of quasi-nonnegative splittings for singular matrices. Zbl 1044.65022
Bai, Zhong-Zhi; Wang, Li; Yuan, Jin-Yun
13
2003
Parallel chaotic multisplitting iterative methods for the large sparse linear complementarity problem. Zbl 0987.65051
Bai, Zhongzhi
13
2001
On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems. Zbl 1240.65122
Dai, Hua; Bai, Zhongzhi
12
2010
On convergence rate of the randomized Gauss-Seidel method. Zbl 1459.65040
Bai, Zhong-Zhi; Wang, Lu; Wu, Wen-Ting
5
2021
On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1483.65065
Bai, Zhong-Zhi; Wu, Wen-Ting
3
2021
The power method and beyond. Zbl 1460.65038
Bai, Zhong-Zhi; Wu, Wen-Ting; Muratova, Galina V.
2
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
1
2021
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. Zbl 1453.65062
Bai, Zhong-Zhi; Lu, Kang-Ya
6
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
2
2020
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128
Bai, Zhong-Zhi; Wu, Wen-Ting
21
2019
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems. Zbl 1420.65028
Bai, Zhong-Zhi; Wu, Wen-Ting
21
2019
Regularized HSS iteration methods for stabilized saddle-point problems. Zbl 07130811
Bai, Zhongzhi
7
2019
On banded \(M\)-splitting iteration methods for solving discretized spatial fractional diffusion equations. Zbl 1450.65102
Bai, Zhong-Zhi; Lu, Kang-Ya
7
2019
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces. Zbl 1434.65031
Bai, Zhong-Zhi; Miao, Cun-Qiang
3
2019
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems. Zbl 1442.65053
Bai, Zhong-Zhi; Miao, Cun-Qiang; Jian, Shuai
2
2019
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Zbl 06892553
Bai, Zhong-Zhi; Wu, Wen-Ting
32
2018
On greedy randomized Kaczmarz method for solving large sparse linear systems. Zbl 1383.65024
Bai, Zhong-Zhi; Wu, Wen-Ting
27
2018
On convergence rate of the randomized Kaczmarz method. Zbl 1391.65063
Bai, Zhong-Zhi; Wu, Wen-Ting
23
2018
On spectral clustering of HSS preconditioner for generalized saddle-point matrices. Zbl 1398.65036
Bai, Zhong-Zhi
11
2018
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts. Zbl 06945795
Bai, Zhong-Zhi
10
2018
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Zbl 06986992
Bai, Zhong-Zhi
9
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
31
2017
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
28
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
22
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
Modulus-based multigrid methods for linear complementarity problems. Zbl 1463.65160
Bai, Zhong-Zhi; Zhang, Li-Li
10
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
25
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
8
2016
Motivations and realizations of Krylov subspace methods for large sparse linear systems. Zbl 1311.65032
Bai, Zhong-Zhi
69
2015
On preconditioned iteration methods for complex linear systems. Zbl 1360.65089
Bai, Zhong-Zhi
51
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
On the numerical behavior of matrix splitting iteration methods for solving linear systems. Zbl 1317.65089
Bai, Zhong-Zhi; Rozložník, Miroslav
10
2015
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. Zbl 1300.65020
Bai, Zhong-Zhi; Hadjidimos, Apostolos
20
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
8
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
135
2013
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131
Bai, Zhong-Zhi; Zhang, Li-Li
84
2013
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088
Bai, Zhong-Zhi; Zhang, Li-Li
79
2013
Rotated block triangular preconditioning based on PMHSS. Zbl 1305.65114
Bai, Zhong-Zhi
44
2013
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. Zbl 1252.15022
Bai, Zhong-Zhi
40
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
34
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
19
2013
On nonsingularity of block two-by-two matrices. Zbl 1283.15009
Bai, Zheng-Jian; Bai, Zhong-Zhi
16
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
6
2013
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048
Bai, Zhong-Zhi
41
2012
On convergence of the inner-outer iteration method for computing Pagerank. Zbl 1264.65041
Bai, Zhong-Zhi
14
2012
Erratum: On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1274.65089
Bai, Zhong-Zhi; Ng, Michael K.
5
2012
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
152
2011
Block preconditioners for elliptic PDE-constrained optimization problems. Zbl 1242.65121
Bai, Zhong-Zhi
53
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
16
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
12
2011
On eigenvalue bounds and iteration methods for discrete algebraic Riccati equations. Zbl 1249.65092
Dai, Hua; Bai, Zhongzhi
6
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
197
2010
Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181
Bai, Zhong-Zhi
155
2010
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems. Zbl 1205.65146
Bai, Zhong-Zhi
94
2010
On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices. Zbl 1224.65133
Bai, Zhongzhi; Guo, Xueping
44
2010
On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems. Zbl 1240.65122
Dai, Hua; Bai, Zhongzhi
12
2010
Block-triangular preconditioners for systems arising from edge-preserving image restoration. Zbl 1240.65165
Bai, Zhongzhi; Huang, Yumei; Ng, Michael K.
5
2010
Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081
Bai, Zhong-Zhi
156
2009
Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033
Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi
103
2009
On semi-convergence of parameterized Uzawa methods for singular saddle point problems. Zbl 1173.65026
Zheng, Bing; Bai, Zhong-Zhi; Yang, Xi
88
2009
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
38
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
19
2009
On preconditioned iterative methods for certain time-dependent partial differential equations. Zbl 1195.65032
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
18
2009
Numerical study on incomplete orthogonal factorization preconditioners. Zbl 1161.65036
Bai, Zhong-Zhi; Duff, Iain S.; Yin, Jun-Feng
11
2009
Modified incomplete orthogonal factorization methods using Givens rotations. Zbl 1176.65034
Bai, Zhong-Zhi; Yin, Jun-Feng
8
2009
On parameterized inexact Uzawa methods for generalized saddle point problems. Zbl 1144.65020
Bai, Zhong-Zhi; Wang, Zeng-Qi
193
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.
126
2008
Several splittings for non-Hermitian linear systems. Zbl 1168.65014
Bai, Zhong-Zhi
33
2008
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. Zbl 1174.65014
Yin, Junfeng; Bai, Zhongzhi
29
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
24
2008
Convergence conditions for splitting iteration methods for non-Hermitian linear systems. Zbl 1135.65018
Wang, Li; Bai, Zhong-Zhi
16
2008
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
264
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
135
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.
115
2007
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
47
2007
Splitting iteration methods for non-Hermitian positive definite systems of linear equations. Zbl 1138.65027
Bai, Zhong-Zhi
35
2007
On preconditioned iterative methods for Burgers equations. Zbl 1144.65034
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
29
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
186
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
120
2006
New preconditioners for saddle point problems. Zbl 1088.65040
Pan, Jian-Yu; Ng, Michael K.; Bai, Zhong-Zhi
103
2006
A shift-splitting preconditioner for non-Hermitian positive definite matrices. Zbl 1120.65054
Bai, Zhongzhi; Yin, Junfeng; Su, Yangfeng
91
2006
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. Zbl 1083.65045
Bai, Zhong-Zhi; Wang, Zeng-Qi
57
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
54
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
38
2006
Convergence analysis of two-stage waveform relaxation method for the initial value problems. Zbl 1101.65084
Wang, Jing; Bai, Zhong-Zhi
11
2006
A modified damped Newton method for linear complementarity problems. Zbl 1106.65052
Bai, Zhong-Zhi; Dong, Jun-Liang
10
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
233
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
202
2005
On inexact preconditioners for nonsymmetric matrices. Zbl 1077.65043
Bai, Zhong-Zhi; Ng, Michael K.
80
2005
Best approximate solution of matrix equation \(AXB+CYD=E\). Zbl 1096.15004
Liao, An-Ping; Bai, Zhong-Zhi; Lei, Yuan
51
2005
On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. Zbl 1079.65052
Guo, Xiaoxia; Bai, Zhongzhi
20
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
Alternating splitting waveform relaxation method and its successive overrelaxation acceleration. Zbl 1076.65063
Bai, Zhong-Zhi; Ng, Michael K.; Pan, Jian-Yu
7
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
5
2005
Directional secant method for nonlinear equations. Zbl 1076.65046
An, Heng-Bin; Bai, Zhong-Zhi
4
2005
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025
Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu
336
2004
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
46
2004
...and 103 more Documents
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Cited by 1,173 Authors

108 Bai, Zhongzhi
89 Ma, Changfeng
68 Zhang, Guofeng
40 Wu, Shiliang
38 Li, Cuixia
36 Cao, Yang
34 Liang, Zhaozheng
33 Khojasteh Salkuyeh, Davod
32 Wu, Yujiang
30 Yang, Aili
29 Huang, Ting-Zhu
25 Zheng, Hua
24 Li, Wen
23 Chen, Guoliang
22 Huang, Na
22 Huang, Zhengge
22 Yin, Junfeng
21 Chen, Fang
21 Wang, Qingwen
20 Ke, Yifen
19 Cui, Jingjing
19 Wang, Xiang
19 Wu, Qingbiao
18 Miao, Shu-Xin
17 Vong, Seakweng
16 Fan, Hongtao
16 Gu, Chuanqing
16 Ren, Zhi-Ru
16 Xu, Zhong
16 Zheng, Bing
15 Guo, Xueping
15 Liao, Lidan
15 Zeng, Minli
14 Hadjidimos, Apostolos
14 Hajarian, Masoud
14 Wang, Chuanlong
14 Wang, Ligong
13 Dehghan Takht Fooladi, Mehdi
13 Wang, Zengqi
13 Xie, Yajun
13 Zheng, Qingqing
12 Axelsson, Axel Owe Holger
12 Dai, Hua
12 Muratova, Galina V.
12 Peng, Xiaofei
12 Yang, Xi
12 Zhang, Litao
12 Zhang, Naimin
11 Li, Jicheng
11 Liu, Zhongyun
11 Miao, Cun-Qiang
11 Shao, Xinhui
11 Wu, Wenting
10 Chao, Zhen
10 Cvetković, Ljiljana
10 Evans, David John
10 Gu, Tongxiang
10 Ng, Michael Kwok-Po
10 Wang, Deren
10 Wen, Ruiping
10 Zhang, Lili
9 Benzi, Michele
9 Chen, Minhong
9 Li, Chengliang
9 Li, Chenliang
9 Liu, Xingping
9 Lu, Linzhang
9 Meng, Guoyan
9 Niu, Qiang
9 Ran, Yuhong
9 Shi, Quan
9 Shirilord, Akbar
9 Xiao, Xiaoyong
9 Zhu, Muzheng
9 Zhu, Xinyun
8 Argyros, Ioannis Konstantinos
8 Huang, Zhengda
8 Jiang, Meiqun
8 Li, Xu
8 Lu, Kang-Ya
8 Shen, Hailong
8 Shen, Qin-Qin
8 Tian, Zhaolu
8 Yuan, Shifang
8 Zhang, Jianhua
8 Zhang, Juli
7 Bao, Wendi
7 Beik, Fatemeh Panjeh Ali
7 Chen, Xiaoping
7 Dong, Junliang
7 Dou, Yan
7 Li, Liang
7 Liao, Anping
7 Reichel, Lothar
7 Tang, Xiao-Bin
7 Zheng, Zhong
6 Buccini, Alessandro
6 Chen, Cairong
6 Dai, Pingfei
6 Gu, Xian-Ming
...and 1,073 more Authors
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Cited in 133 Serials

213 Applied Mathematics and Computation
170 Journal of Computational and Applied Mathematics
140 Numerical Algorithms
115 Computers & Mathematics with Applications
73 Computational and Applied Mathematics
57 Applied Mathematics Letters
57 East Asian Journal on Applied Mathematics
49 Linear Algebra and its Applications
48 International Journal of Computer Mathematics
44 Applied Numerical Mathematics
36 Numerical Linear Algebra with Applications
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19 BIT
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14 Mathematical Problems in Engineering
14 Journal of Inequalities and Applications
13 Journal of Applied Mathematics and Computing
12 SIAM Journal on Matrix Analysis and Applications
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8 Acta Mathematicae Applicatae Sinica. English Series
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7 Applied Mathematics. Series B (English Edition)
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6 Electronic Research Archive
5 Mathematics of Computation
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4 Advances in Applied Clifford Algebras
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4 Abstract and Applied Analysis
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4 Frontiers of Mathematics in China
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2 Asian Journal of Control
2 S\(\vec{\text{e}}\)MA Journal
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1 Computational Mathematics and Modeling
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1 Russian Mathematics
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1 ELA. The Electronic Journal of Linear Algebra
1 European Journal of Control
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