Edit Profile (opens in new tab) Bai, Zhongzhi Co-Author Distance Author ID: bai.zhongzhi Published as: Bai, Zhong-Zhi; Bai, Zhongzhi; Bai, Zhong Zhi; Bai, Z.-Z.; Bai, Z. Z. more...less Homepage: http://lsec.cc.ac.cn/~bzz/bzzeng.html External Links: MGP Documents Indexed: 231 Publications since 1992, including 1 Book 13 Contributions as Editor Co-Authors: 81 Co-Authors with 166 Joint Publications 3,664 Co-Co-Authors all top 5 Co-Authors 76 single-authored 27 Wang, Deren 16 Ng, Michael Kwok-Po 15 Evans, David John 10 Wu, Wenting 8 Golub, Gene Howard 7 Pan, Jianyu 7 Wang, Zengqi 6 Lu, Kang-Ya 6 Yin, Junfeng 5 Liao, Anping 5 Reichel, Lothar 5 Yang, Xi 4 An, Hengbin 4 Benzi, Michele 4 Chen, Fang 4 Gao, Yonghua 4 Huang, Yumei 4 Miao, Cun-Qiang 4 Zhang, Lili 3 Dai, Hua 3 Duff, Iain S. 3 Gander, Martin Jakob 3 Gutknecht, Martin H. 3 Huang, Yuguang 3 Lu, Linzhang 3 Meurant, Gérard A. 3 Muratova, Galina V. 3 Redivo-Zaglia, Michela 3 Ren, Zhi-Ru 3 Rodriguez, Giuseppe 3 Wang, Chuanlong 3 Wang, Li 2 Axelsson, Axel Owe Holger 2 Chan, Raymond Hon-Fu 2 Guo, Xiaoxia 2 Huang, Tinzhu 2 Krukier, Lev A. 2 Li, Chi-Kwong 2 Li, Guiqing 2 Martynova, Tatiana S. 2 Qiu, Shou-Xia 2 Su, Yangfeng 2 Sun, Jiachang 2 Szyld, Daniel B. 2 Tao, Min 2 Wang, Lu 1 Bai, Zhengjian 1 Buccini, Alessandro 1 Calinescu, Radu C. 1 Chi, Xuebin 1 Ching, Wai-Ki 1 Deng, Yuanbei 1 Dong, Junliang 1 Gao, Zuofeng 1 Guo, Xueping 1 Hadjidimos, Apostolos 1 Hayami, Ken 1 Huang, Ting-Zhu 1 Jian, Shuai 1 Jin, Cheng-Hai 1 Lei, Yuan 1 Liu, Xinguo 1 Migallón, Violeta 1 Nabben, Reinhard 1 Neytcheva, Maya G. 1 Parlett, Beresford Neill 1 Penadés, José 1 Ran, Yuhong 1 Rozložník, Miroslav 1 Shi, Zhongci 1 Wang, Jing 1 Wathen, Andrew John 1 Wei, Yimin 1 Wei, Ying 1 Xu, Shufang 1 You, Zhaoyong 1 Yuan, Jinyun 1 Yuan, Li 1 Zhang, Shao-Liang 1 Zheng, Bing 1 Zheng, Ning all top 5 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 all top 5 Fields 234 Numerical analysis (65-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 38 Operations research, mathematical programming (90-XX) 20 Partial differential equations (35-XX) 13 General and overarching topics; collections (00-XX) 9 Ordinary differential equations (34-XX) 8 Computer science (68-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 1 ACM Transactions on Mathematical Software 1 Automatica 1 Demonstratio Mathematica 1 Opsearch 1 Revista Colombiana de Matemáticas 1 SIAM Journal on Numerical Analysis ...and 62 more Serials all top 5 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) 125 Partial differential equations (35-XX) 50 Fluid mechanics (76-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 32 Computer science (68-XX) 27 Ordinary differential equations (34-XX) 27 Information and communication theory, circuits (94-XX) 16 Systems theory; control (93-XX) 14 Operator theory (47-XX) 14 Optics, electromagnetic theory (78-XX) 12 Real functions (26-XX) 12 Mechanics of deformable solids (74-XX) 11 Probability theory and stochastic processes (60-XX) 11 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Biology and other natural sciences (92-XX) 5 Number theory (11-XX) 5 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Associative rings and algebras (16-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year