Edit Profile (opens in new tab) Bai, Zhongzhi Compute Distance To: Compute Author ID: 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 Documents Indexed: 221 Publications since 1992, including 1 Book 13 Contributions as Editor Co-Authors: 80 Co-Authors with 160 Joint Publications 3,746 Co-Co-Authors all top 5 Co-Authors 74 single-authored 27 Wang, Deren 16 Ng, Michael Kwok-Po 15 Evans, David John 9 Wu, Wenting 8 Golub, Gene Howard 7 Pan, Jianyu 7 Wang, Zengqi 6 Yin, Junfeng 5 Lu, Kang-Ya 5 Reichel, Lothar 5 Yang, Xi 4 Benzi, Michele 4 Chen, Fang 4 Gao, Yonghua 4 Huang, Yumei 4 Liao, Anping 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 An, Hengbin 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 Su, Yangfeng 2 Sun, Jiachang 2 Szyld, Daniel B. 2 Tao, Min 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 Qiu, Shou-Xia 1 Ran, Yuhong 1 Rozlozník, 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 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 all top 5 Fields 224 Numerical analysis (65-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 35 Operations research, mathematical programming (90-XX) 19 Partial differential equations (35-XX) 13 General and overarching topics; collections (00-XX) 9 Ordinary differential equations (34-XX) 7 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 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 1036.65032Bai, 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 1056.65025Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu 336 2004 Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022Bai, Zhongzhi; Golub, Gene H. 264 2007 On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi 233 2005 Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028Bai, 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 1210.65074Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 197 2010 On parameterized inexact Uzawa methods for generalized saddle point problems. Zbl 1144.65020Bai, Zhong-Zhi; Wang, Zeng-Qi 193 2008 Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041Bai, Zhong-Zhi 186 2006 Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081Bai, Zhong-Zhi 156 2009 Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181Bai, Zhong-Zhi 155 2010 On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037Bai, 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 1114.65034Bai, 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 1271.65100Bai, 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 1135.65016Bai, 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 1116.65039Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong 120 2006 On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 115 2007 On the convergence of the multisplitting methods for the linear complementarity problem. Zbl 0942.65059Bai, Zhongzhi 112 1999 Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi 103 2009 New preconditioners for saddle point problems. Zbl 1088.65040Pan, 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 1205.65146Bai, Zhong-Zhi 94 2010 A shift-splitting preconditioner for non-Hermitian positive definite matrices. Zbl 1120.65054Bai, Zhongzhi; Yin, Junfeng; Su, Yangfeng 91 2006 On semi-convergence of parameterized Uzawa methods for singular saddle point problems. Zbl 1173.65026Zheng, Bing; Bai, Zhong-Zhi; Yang, Xi 88 2009 Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131Bai, Zhong-Zhi; Zhang, Li-Li 84 2013 On inexact preconditioners for nonsymmetric matrices. Zbl 1077.65043Bai, Zhong-Zhi; Ng, Michael K. 80 2005 Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018Bai, Zhongzhi; Li, Guiqing 79 2003 Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088Bai, Zhong-Zhi; Zhang, Li-Li 79 2013 Matrix multisplitting relaxation methods for linear complementarity problems. Zbl 0876.90086Bai, Zhong-Zhi; Evans, D. J. 78 1997 Motivations and realizations of Krylov subspace methods for large sparse linear systems. Zbl 1311.65032Bai, Zhong-Zhi 69 2015 A unified framework for the construction of various matrix multisplitting iterative methods for large sparse system of linear equations. Zbl 0870.65025Bai, Zhongzhi; Sun, Jiachang; Wang, Deren 65 1996 Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods. Zbl 1011.65033Bai, Zhongzhi; Evans, D. J. 63 2002 Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. Zbl 1083.65045Bai, Zhong-Zhi; Wang, Zeng-Qi 57 2006 Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems. Zbl 1026.65028Bai, Zhong-Zhi 55 2000 Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations. Zbl 1174.65382Deng, Yuan-Bei; Bai, Zhong-Zhi; Gao, Yong-Hua 54 2006 Block preconditioners for elliptic PDE-constrained optimization problems. Zbl 1242.65121Bai, Zhong-Zhi 53 2011 On preconditioned iteration methods for complex linear systems. Zbl 1360.65089Bai, Zhong-Zhi 51 2015 Best approximate solution of matrix equation \(AXB+CYD=E\). Zbl 1096.15004Liao, An-Ping; Bai, Zhong-Zhi; Lei, Yuan 51 2005 A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040An, 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 1054.65028Axelsson, Owe; Bai, Zhong-Zhi; Qiu, Shou-Xia 46 2004 A class of two-stage iterative methods for systems of weakly nonlinear equations. Zbl 0889.65055Bai, Zhongzhi 46 1997 Rotated block triangular preconditioning based on PMHSS. Zbl 1305.65114Bai, Zhong-Zhi 44 2013 On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices. Zbl 1224.65133Bai, Zhongzhi; Guo, Xueping 44 2010 Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048Bai, Zhong-Zhi 41 2012 Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. Zbl 1252.15022Bai, Zhong-Zhi 40 2013 On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047Bai, Zhong-Zhi; Yang, Xi 38 2009 Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations. Zbl 1174.65381Bai, Zhong-Zhi; Guo, Xiao-Xia; Xu, Shu-Fang 38 2006 The convergence of parallel iteration algorithms for linear complementarity problems. Zbl 0873.65061Bai, Zhongzhi 36 1996 On the convergence of additive and multiplicative splitting iterations for systems of linear equations. Zbl 1022.65035Bai, Zhong Zhi 35 2003 Splitting iteration methods for non-Hermitian positive definite systems of linear equations. Zbl 1138.65027Bai, Zhong-Zhi 35 2007 Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices. Zbl 1267.65034Bai, Zhong-Zhi; Chen, Fang; Wang, Zeng-Qi 34 2013 Several splittings for non-Hermitian linear systems. Zbl 1168.65014Bai, Zhong-Zhi 33 2008 Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems. Zbl 1080.65021Bai, Zhong-Zhi; Ng, Michael K. 33 2003 On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Zbl 06892553Bai, Zhong-Zhi; Wu, Wen-Ting 32 2018 The constrained solutions of two matrix equations. Zbl 1028.15011Liao, An Ping; Bai, Zhong Zhi 31 2002 Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices. Zbl 0983.65044Wang, Chuanlong; Bai, Zhongzhi 31 2001 Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. Zbl 1463.65040Bai, Zhong-Zhi; Lu, Kang-Ya; Pan, Jian-Yu 31 2017 On preconditioned iterative methods for Burgers equations. Zbl 1144.65034Bai, 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 0914.65072Bai, Zhong-Zhi 29 1998 The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. Zbl 1174.65014Yin, Junfeng; Bai, Zhongzhi 29 2008 Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048Bai, 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 1069.65031Wang, Li; Bai, Zhong-Zhi 28 2004 A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations. Zbl 0922.65033Bai, Zhongzhi 27 1999 On greedy randomized Kaczmarz method for solving large sparse linear systems. Zbl 1383.65024Bai, Zhong-Zhi; Wu, Wen-Ting 27 2018 On SSOR-like preconditioners for non-Hermitian positive definite matrices. Zbl 1413.65040Bai, Zhong-Zhi 25 2016 Modified block SSOR preconditioners for symmetric positive definite linear systems. Zbl 1028.65018Bai, Zhongzhi 25 2001 Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1166.65065Bai, Zhong-Zhi; Gao, Yong-Hua; Lu, Lin-Zhang 24 2008 Least-squares solution of \(AXB= D\) over symmetric positive semidefinite matrices \(X\). Zbl 1029.65042Liao, Anping; Bai, Zhongzhi 23 2003 A regularized conjugate gradient method for symmetric positive definite system of linear equations. Zbl 1002.65040Bai, Zhongzhi; Zhang, Shaoliang 23 2002 On convergence rate of the randomized Kaczmarz method. Zbl 1391.65063Bai, Zhong-Zhi; Wu, Wen-Ting 23 2018 Modulus-based iterative methods for constrained Tikhonov regularization. Zbl 1360.65112Bai, 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 0892.65029Bai, Zhongzhi 21 1997 On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128Bai, Zhong-Zhi; Wu, Wen-Ting 21 2019 On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems. Zbl 1420.65028Bai, Zhong-Zhi; Wu, Wen-Ting 21 2019 Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. Zbl 1300.65020Bai, Zhong-Zhi; Hadjidimos, Apostolos 20 2014 Parallel nonlinear AOR method and its convergence. Zbl 0859.65050Bai, Zhongzhi 20 1996 A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J. 20 2001 On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. Zbl 1079.65052Guo, Xiaoxia; Bai, Zhongzhi 20 2005 The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations. Zbl 0885.65038Bai, Zhongzhi; Wang, Deren 20 1997 Block and asynchronous two-stage methods for mildly nonlinear systems. Zbl 0941.65047Bai, Zhongzhi; Migallón, Violeta; Penadés, José; Szyld, Daniel B. 19 1999 Parallel matrix multisplitting block relaxation iteration methods. Zbl 0860.65020Bai, Zhongzhi 19 1995 Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems. Zbl 1184.65038Krukier, 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 1047.65041Bai, Zhongzhi; Huang, Yuguang 19 2003 On the Meany inequality with applications to convergence analysis of several row-action iteration methods. Zbl 1306.15015Bai, Zhong-Zhi; Liu, Xin-Guo 19 2013 On preconditioned iterative methods for certain time-dependent partial differential equations. Zbl 1195.65032Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K. 18 2009 On the monotone convergence of the projected iteration methods for linear complementarity problems. Zbl 0926.65059Bai, Zhongzhi 17 1996 Convergence conditions for splitting iteration methods for non-Hermitian linear systems. Zbl 1135.65018Wang, Li; Bai, Zhong-Zhi 16 2008 Chaotic iterative methods for the linear complementarity problems. Zbl 0927.65079Bai, Zhongzhi; Evans, D. J. 16 1998 A class of asynchronous parallel matrix multisplitting relaxation methods. Zbl 1049.68936Wang, Deren; Bai, Zhongzhi; Evans, D. J. 16 1994 On nonsingularity of block two-by-two matrices. Zbl 1283.15009Bai, Zheng-Jian; Bai, Zhong-Zhi 16 2013 On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations. Zbl 1249.65093Gao, Yong-Hua; Bai, Zhong-Zhi 16 2011 Generalized matrix multisplitting relaxation methods and their convergence. Zbl 0849.65016Bai, Zhongzhi; Wang, Deren 15 1993 Matrix multi-splitting multi-parameter relaxation methods. Zbl 0754.65033Evans, D. J.; Wang, Deren; Bai, Zhongzhi 14 1992 On local quadratic convergence of inexact simplified Jacobi-Davidson method. Zbl 1359.65055Bai, Zhong-Zhi; Miao, Cun-Qiang 14 2017 A class of parallel nonlinear multisplitting relaxation methods for the large sparse nonlinear complementarity problems. Zbl 0865.65048Bai, Zhongzhi; Wang, Deren 14 1996 On convergence of the inner-outer iteration method for computing Pagerank. Zbl 1264.65041Bai, Zhong-Zhi 14 2012 On the solvability condition and numerical algorithm for the parameterized generalized inverse eigenvalue problem. Zbl 1317.65101Dai, Hua; Bai, Zhong-Zhi; Wei, Ying 13 2015 The convergence of the two-stage iterative method for Hermitian positive definite linear systems. Zbl 1337.65029Bai, 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 1083.65098Bai, Zhongzhi; Li, Guiqing; Lu, Linzhang 13 2004 Weak-convergence theory of quasi-nonnegative splittings for singular matrices. Zbl 1044.65022Bai, Zhong-Zhi; Wang, Li; Yuan, Jin-Yun 13 2003 Parallel chaotic multisplitting iterative methods for the large sparse linear complementarity problem. Zbl 0987.65051Bai, Zhongzhi 13 2001 On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems. Zbl 1240.65122Dai, Hua; Bai, Zhongzhi 12 2010 On convergence rate of the randomized Gauss-Seidel method. Zbl 1459.65040Bai, Zhong-Zhi; Wang, Lu; Wu, Wen-Ting 5 2021 On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1483.65065Bai, Zhong-Zhi; Wu, Wen-Ting 3 2021 The power method and beyond. Zbl 1460.65038Bai, 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 1466.49029Bai, Zhong-Zhi; Lu, Kang-Ya 1 2021 Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. Zbl 1453.65062Bai, Zhong-Zhi; Lu, Kang-Ya 6 2020 On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations. Zbl 1463.65039Bai, Zhong-Zhi; Lu, Kang-Ya 2 2020 On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128Bai, Zhong-Zhi; Wu, Wen-Ting 21 2019 On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems. Zbl 1420.65028Bai, Zhong-Zhi; Wu, Wen-Ting 21 2019 Regularized HSS iteration methods for stabilized saddle-point problems. Zbl 07130811Bai, Zhongzhi 7 2019 On banded \(M\)-splitting iteration methods for solving discretized spatial fractional diffusion equations. Zbl 1450.65102Bai, Zhong-Zhi; Lu, Kang-Ya 7 2019 Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces. Zbl 1434.65031Bai, Zhong-Zhi; Miao, Cun-Qiang 3 2019 On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems. Zbl 1442.65053Bai, Zhong-Zhi; Miao, Cun-Qiang; Jian, Shuai 2 2019 On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Zbl 06892553Bai, Zhong-Zhi; Wu, Wen-Ting 32 2018 On greedy randomized Kaczmarz method for solving large sparse linear systems. Zbl 1383.65024Bai, Zhong-Zhi; Wu, Wen-Ting 27 2018 On convergence rate of the randomized Kaczmarz method. Zbl 1391.65063Bai, Zhong-Zhi; Wu, Wen-Ting 23 2018 On spectral clustering of HSS preconditioner for generalized saddle-point matrices. Zbl 1398.65036Bai, Zhong-Zhi 11 2018 Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts. Zbl 06945795Bai, Zhong-Zhi 10 2018 Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Zbl 06986992Bai, Zhong-Zhi 9 2018 Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. Zbl 1463.65040Bai, Zhong-Zhi; Lu, Kang-Ya; Pan, Jian-Yu 31 2017 Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048Bai, Zhong-Zhi; Benzi, Michele 28 2017 Modulus-based iterative methods for constrained Tikhonov regularization. Zbl 1360.65112Bai, 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 1359.65055Bai, Zhong-Zhi; Miao, Cun-Qiang 14 2017 On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems. Zbl 1373.65022Bai, Zhong-Zhi; Miao, Cun-Qiang 11 2017 Modulus-based multigrid methods for linear complementarity problems. Zbl 1463.65160Bai, Zhong-Zhi; Zhang, Li-Li 10 2017 On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints. Zbl 1352.65096Bai, Zhong-Zhi; Tao, Min 4 2017 On SSOR-like preconditioners for non-Hermitian positive definite matrices. Zbl 1413.65040Bai, Zhong-Zhi 25 2016 Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints. Zbl 1357.65071Bai, Zhong-Zhi; Tao, Min 8 2016 Motivations and realizations of Krylov subspace methods for large sparse linear systems. Zbl 1311.65032Bai, Zhong-Zhi 69 2015 On preconditioned iteration methods for complex linear systems. Zbl 1360.65089Bai, Zhong-Zhi 51 2015 On the solvability condition and numerical algorithm for the parameterized generalized inverse eigenvalue problem. Zbl 1317.65101Dai, Hua; Bai, Zhong-Zhi; Wei, Ying 13 2015 On the numerical behavior of matrix splitting iteration methods for solving linear systems. Zbl 1317.65089Bai, Zhong-Zhi; Rozložník, Miroslav 10 2015 Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. Zbl 1300.65020Bai, Zhong-Zhi; Hadjidimos, Apostolos 20 2014 On order-reducible sinc discretizations and block-diagonal preconditioning methods for linear third-order ordinary differential equations. Zbl 1324.65105Bai, 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 1282.76084Bai, 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 1271.65100Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi 135 2013 Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131Bai, Zhong-Zhi; Zhang, Li-Li 84 2013 Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088Bai, Zhong-Zhi; Zhang, Li-Li 79 2013 Rotated block triangular preconditioning based on PMHSS. Zbl 1305.65114Bai, Zhong-Zhi 44 2013 Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. Zbl 1252.15022Bai, Zhong-Zhi 40 2013 Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices. Zbl 1267.65034Bai, 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 1306.15015Bai, Zhong-Zhi; Liu, Xin-Guo 19 2013 On nonsingularity of block two-by-two matrices. Zbl 1283.15009Bai, 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 1291.65226Bai, Zhong-Zhi; Ren, Zhi-Ru 6 2013 Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048Bai, Zhong-Zhi 41 2012 On convergence of the inner-outer iteration method for computing Pagerank. Zbl 1264.65041Bai, Zhong-Zhi 14 2012 Erratum: On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1274.65089Bai, Zhong-Zhi; Ng, Michael K. 5 2012 On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 152 2011 Block preconditioners for elliptic PDE-constrained optimization problems. Zbl 1242.65121Bai, Zhong-Zhi 53 2011 On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations. Zbl 1249.65093Gao, Yong-Hua; Bai, Zhong-Zhi 16 2011 On sinc discretization and banded preconditioning for linear third-order ordinary differential equations. Zbl 1245.65095Bai, Zhong-Zhi; Chan, Raymond H.; Ren, Zhi-Ru 12 2011 On eigenvalue bounds and iteration methods for discrete algebraic Riccati equations. Zbl 1249.65092Dai, Hua; Bai, Zhongzhi 6 2011 On convergence conditions of waveform relaxation methods for linear differential-algebraic equations. Zbl 1222.65080Bai, Zhong-Zhi; Yang, Xi 3 2011 Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 197 2010 Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181Bai, Zhong-Zhi 155 2010 On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems. Zbl 1205.65146Bai, Zhong-Zhi 94 2010 On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices. Zbl 1224.65133Bai, Zhongzhi; Guo, Xueping 44 2010 On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems. Zbl 1240.65122Dai, Hua; Bai, Zhongzhi 12 2010 Block-triangular preconditioners for systems arising from edge-preserving image restoration. Zbl 1240.65165Bai, Zhongzhi; Huang, Yumei; Ng, Michael K. 5 2010 Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081Bai, Zhong-Zhi 156 2009 Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi 103 2009 On semi-convergence of parameterized Uzawa methods for singular saddle point problems. Zbl 1173.65026Zheng, Bing; Bai, Zhong-Zhi; Yang, Xi 88 2009 On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047Bai, Zhong-Zhi; Yang, Xi 38 2009 Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems. Zbl 1184.65038Krukier, Lev A.; Martynova, Tatiana S.; Bai, Zhong-Zhi 19 2009 On preconditioned iterative methods for certain time-dependent partial differential equations. Zbl 1195.65032Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K. 18 2009 Numerical study on incomplete orthogonal factorization preconditioners. Zbl 1161.65036Bai, Zhong-Zhi; Duff, Iain S.; Yin, Jun-Feng 11 2009 Modified incomplete orthogonal factorization methods using Givens rotations. Zbl 1176.65034Bai, Zhong-Zhi; Yin, Jun-Feng 8 2009 On parameterized inexact Uzawa methods for generalized saddle point problems. Zbl 1144.65020Bai, Zhong-Zhi; Wang, Zeng-Qi 193 2008 On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1135.65016Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 126 2008 Several splittings for non-Hermitian linear systems. Zbl 1168.65014Bai, Zhong-Zhi 33 2008 The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. Zbl 1174.65014Yin, Junfeng; Bai, Zhongzhi 29 2008 Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1166.65065Bai, Zhong-Zhi; Gao, Yong-Hua; Lu, Lin-Zhang 24 2008 Convergence conditions for splitting iteration methods for non-Hermitian linear systems. Zbl 1135.65018Wang, Li; Bai, Zhong-Zhi 16 2008 Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022Bai, Zhongzhi; Golub, Gene H. 264 2007 Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong 135 2007 On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 115 2007 A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040An, Heng-Bin; Bai, Zhong-Zhi 47 2007 Splitting iteration methods for non-Hermitian positive definite systems of linear equations. Zbl 1138.65027Bai, Zhong-Zhi 35 2007 On preconditioned iterative methods for Burgers equations. Zbl 1144.65034Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K. 29 2007 Modified Bernoulli iteration methods for quadratic matrix equation. Zbl 1141.65359Bai, Zhongzhi; Gao, Yonghua 5 2007 Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041Bai, Zhong-Zhi 186 2006 Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong 120 2006 New preconditioners for saddle point problems. Zbl 1088.65040Pan, Jian-Yu; Ng, Michael K.; Bai, Zhong-Zhi 103 2006 A shift-splitting preconditioner for non-Hermitian positive definite matrices. Zbl 1120.65054Bai, Zhongzhi; Yin, Junfeng; Su, Yangfeng 91 2006 Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. Zbl 1083.65045Bai, Zhong-Zhi; Wang, Zeng-Qi 57 2006 Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations. Zbl 1174.65382Deng, 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 1174.65381Bai, Zhong-Zhi; Guo, Xiao-Xia; Xu, Shu-Fang 38 2006 Convergence analysis of two-stage waveform relaxation method for the initial value problems. Zbl 1101.65084Wang, Jing; Bai, Zhong-Zhi 11 2006 A modified damped Newton method for linear complementarity problems. Zbl 1106.65052Bai, 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 1210.39018Bai, Z.-Z.; Krukier, L. A.; Martynova, T. S. 6 2006 On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi 233 2005 Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng 202 2005 On inexact preconditioners for nonsymmetric matrices. Zbl 1077.65043Bai, Zhong-Zhi; Ng, Michael K. 80 2005 Best approximate solution of matrix equation \(AXB+CYD=E\). Zbl 1096.15004Liao, An-Ping; Bai, Zhong-Zhi; Lei, Yuan 51 2005 On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. Zbl 1079.65052Guo, Xiaoxia; Bai, Zhongzhi 20 2005 Two-step waveform relaxation methods for implicit linear initial value problems. Zbl 1164.65440Pan, Jian-Yu; Bai, Zhong-Zhi; Ng, Michael K. 10 2005 Alternating splitting waveform relaxation method and its successive overrelaxation acceleration. Zbl 1076.65063Bai, 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 1099.65523Liao, Anping; Bai, Zhongzhi 5 2005 Directional secant method for nonlinear equations. Zbl 1076.65046An, Heng-Bin; Bai, Zhong-Zhi 4 2005 Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025Bai, 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 1054.65028Axelsson, Owe; Bai, Zhong-Zhi; Qiu, Shou-Xia 46 2004 ...and 103 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 23 Calcolo 21 Linear and Multilinear Algebra 19 BIT 15 Japan Journal of Industrial and Applied Mathematics 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 12 Journal of Applied Mathematics 10 Journal of Optimization Theory and Applications 9 Journal of Computational Physics 9 Numerische Mathematik 8 Journal of Engineering Mathematics 8 Acta Mathematicae Applicatae Sinica. 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Second Series 2 Advances in Difference Equations 2 Communications in Computational Physics 2 Algorithms 2 Advances in Numerical Analysis 2 Asian Journal of Control 2 S\(\vec{\text{e}}\)MA Journal 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 Revista Colombiana de Matemáticas 1 SIAM Journal on Numerical Analysis 1 Journal of Complexity 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Computational Mathematics and Modeling 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 The Journal of Analysis 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Engineering Analysis with Boundary Elements 1 ELA. The Electronic Journal of Linear Algebra 1 European Journal of Control 1 Journal of Vibration and Control 1 Mathematical Communications 1 Positivity 1 Taiwanese Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Communications of the Korean Mathematical Society 1 Computational Geosciences ...and 33 more Serials all top 5 Cited in 42 Fields 1,337 Numerical analysis (65-XX) 391 Linear and multilinear algebra; matrix theory (15-XX) 202 Operations research, mathematical programming (90-XX) 98 Partial differential equations (35-XX) 48 Fluid mechanics (76-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 26 Ordinary differential equations (34-XX) 22 Computer science (68-XX) 19 Information and communication theory, circuits (94-XX) 13 Optics, electromagnetic theory (78-XX) 13 Systems theory; control (93-XX) 12 Operator theory (47-XX) 11 Mechanics of deformable solids (74-XX) 9 Real functions (26-XX) 8 Statistics (62-XX) 6 Difference and functional equations (39-XX) 6 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 5 Number theory (11-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-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 Geophysics (86-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 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year