## Bai, Zhongzhi

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 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
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### 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
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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
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### 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)

### 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.
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
2004
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
2007
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
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
2005
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
2010
On parameterized inexact Uzawa methods for generalized saddle point problems. Zbl 1144.65020
Bai, Zhong-Zhi; Wang, Zeng-Qi
2008
Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041
Bai, Zhong-Zhi
2006
Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081
Bai, Zhong-Zhi
2009
Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181
Bai, Zhong-Zhi
2010
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
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
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
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.
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
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.
2007
On the convergence of the multisplitting methods for the linear complementarity problem. Zbl 0942.65059
Bai, Zhongzhi
1999
Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033
Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi
2009
New preconditioners for saddle point problems. Zbl 1088.65040
Pan, Jian-Yu; Ng, Michael K.; Bai, Zhong-Zhi
2006
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems. Zbl 1205.65146
Bai, Zhong-Zhi
2010
A shift-splitting preconditioner for non-Hermitian positive definite matrices. Zbl 1120.65054
Bai, Zhongzhi; Yin, Junfeng; Su, Yangfeng
2006
On semi-convergence of parameterized Uzawa methods for singular saddle point problems. Zbl 1173.65026
Zheng, Bing; Bai, Zhong-Zhi; Yang, Xi
2009
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131
Bai, Zhong-Zhi; Zhang, Li-Li
2013
On inexact preconditioners for nonsymmetric matrices. Zbl 1077.65043
Bai, Zhong-Zhi; Ng, Michael K.
2005
Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018
Bai, Zhongzhi; Li, Guiqing
2003
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088
Bai, Zhong-Zhi; Zhang, Li-Li
2013
Matrix multisplitting relaxation methods for linear complementarity problems. Zbl 0876.90086
Bai, Zhong-Zhi; Evans, D. J.
1997
Motivations and realizations of Krylov subspace methods for large sparse linear systems. Zbl 1311.65032
Bai, Zhong-Zhi
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
1996
Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods. Zbl 1011.65033
Bai, Zhongzhi; Evans, D. J.
2002
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. Zbl 1083.65045
Bai, Zhong-Zhi; Wang, Zeng-Qi
2006
Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems. Zbl 1026.65028
Bai, Zhong-Zhi
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
2006
Block preconditioners for elliptic PDE-constrained optimization problems. Zbl 1242.65121
Bai, Zhong-Zhi
2011
On preconditioned iteration methods for complex linear systems. Zbl 1360.65089
Bai, Zhong-Zhi
2015
Best approximate solution of matrix equation $$AXB+CYD=E$$. Zbl 1096.15004
Liao, An-Ping; Bai, Zhong-Zhi; Lei, Yuan
2005
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
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
2004
A class of two-stage iterative methods for systems of weakly nonlinear equations. Zbl 0889.65055
Bai, Zhongzhi
1997
Rotated block triangular preconditioning based on PMHSS. Zbl 1305.65114
Bai, Zhong-Zhi
2013
On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices. Zbl 1224.65133
Bai, Zhongzhi; Guo, Xueping
2010
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048
Bai, Zhong-Zhi
2012
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. Zbl 1252.15022
Bai, Zhong-Zhi
2013
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
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
2006
The convergence of parallel iteration algorithms for linear complementarity problems. Zbl 0873.65061
Bai, Zhongzhi
1996
On the convergence of additive and multiplicative splitting iterations for systems of linear equations. Zbl 1022.65035
Bai, Zhong Zhi
2003
Splitting iteration methods for non-Hermitian positive definite systems of linear equations. Zbl 1138.65027
Bai, Zhong-Zhi
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
2013
Several splittings for non-Hermitian linear systems. Zbl 1168.65014
Bai, Zhong-Zhi
2008
Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems. Zbl 1080.65021
Bai, Zhong-Zhi; Ng, Michael K.
2003
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Zbl 06892553
Bai, Zhong-Zhi; Wu, Wen-Ting
2018
The constrained solutions of two matrix equations. Zbl 1028.15011
Liao, An Ping; Bai, Zhong Zhi
2002
Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices. Zbl 0983.65044
Wang, Chuanlong; Bai, Zhongzhi
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
2017
On preconditioned iterative methods for Burgers equations. Zbl 1144.65034
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
2007
On the monotone convergence of matrix multisplitting relaxation methods for the linear complementarity problem. Zbl 0914.65072
Bai, Zhong-Zhi
1998
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. Zbl 1174.65014
Yin, Junfeng; Bai, Zhongzhi
2008
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
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
2004
A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations. Zbl 0922.65033
Bai, Zhongzhi
1999
On greedy randomized Kaczmarz method for solving large sparse linear systems. Zbl 1383.65024
Bai, Zhong-Zhi; Wu, Wen-Ting
2018
On SSOR-like preconditioners for non-Hermitian positive definite matrices. Zbl 1413.65040
Bai, Zhong-Zhi
2016
Modified block SSOR preconditioners for symmetric positive definite linear systems. Zbl 1028.65018
Bai, Zhongzhi
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
2008
Least-squares solution of $$AXB= D$$ over symmetric positive semidefinite matrices $$X$$. Zbl 1029.65042
Liao, Anping; Bai, Zhongzhi
2003
A regularized conjugate gradient method for symmetric positive definite system of linear equations. Zbl 1002.65040
Bai, Zhongzhi; Zhang, Shaoliang
2002
On convergence rate of the randomized Kaczmarz method. Zbl 1391.65063
Bai, Zhong-Zhi; Wu, Wen-Ting
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
2017
Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations. Zbl 0892.65029
Bai, Zhongzhi
1997
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128
Bai, Zhong-Zhi; Wu, Wen-Ting
2019
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems. Zbl 1420.65028
Bai, Zhong-Zhi; Wu, Wen-Ting
2019
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. Zbl 1300.65020
Bai, Zhong-Zhi; Hadjidimos, Apostolos
2014
Parallel nonlinear AOR method and its convergence. Zbl 0859.65050
Bai, Zhongzhi
1996
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
2001
On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. Zbl 1079.65052
Guo, Xiaoxia; Bai, Zhongzhi
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
1997
Block and asynchronous two-stage methods for mildly nonlinear systems. Zbl 0941.65047
Bai, Zhongzhi; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
1999
Parallel matrix multisplitting block relaxation iteration methods. Zbl 0860.65020
Bai, Zhongzhi
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
2009
A class of asynchronous parallel multisplitting relaxation methods for large sparse linear complementarity problems. Zbl 1047.65041
Bai, Zhongzhi; Huang, Yuguang
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
2013
On preconditioned iterative methods for certain time-dependent partial differential equations. Zbl 1195.65032
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
2009
On the monotone convergence of the projected iteration methods for linear complementarity problems. Zbl 0926.65059
Bai, Zhongzhi
1996
Convergence conditions for splitting iteration methods for non-Hermitian linear systems. Zbl 1135.65018
Wang, Li; Bai, Zhong-Zhi
2008
Chaotic iterative methods for the linear complementarity problems. Zbl 0927.65079
Bai, Zhongzhi; Evans, D. J.
1998
A class of asynchronous parallel matrix multisplitting relaxation methods. Zbl 1049.68936
Wang, Deren; Bai, Zhongzhi; Evans, D. J.
1994
On nonsingularity of block two-by-two matrices. Zbl 1283.15009
Bai, Zheng-Jian; Bai, Zhong-Zhi
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
2011
Generalized matrix multisplitting relaxation methods and their convergence. Zbl 0849.65016
Bai, Zhongzhi; Wang, Deren
1993
Matrix multi-splitting multi-parameter relaxation methods. Zbl 0754.65033
Evans, D. J.; Wang, Deren; Bai, Zhongzhi
1992
On local quadratic convergence of inexact simplified Jacobi-Davidson method. Zbl 1359.65055
Bai, Zhong-Zhi; Miao, Cun-Qiang
2017
A class of parallel nonlinear multisplitting relaxation methods for the large sparse nonlinear complementarity problems. Zbl 0865.65048
Bai, Zhongzhi; Wang, Deren
1996
On convergence of the inner-outer iteration method for computing Pagerank. Zbl 1264.65041
Bai, Zhong-Zhi
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
2015
The convergence of the two-stage iterative method for Hermitian positive definite linear systems. Zbl 1337.65029
Bai, Zhong-Zhi
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
2004
Weak-convergence theory of quasi-nonnegative splittings for singular matrices. Zbl 1044.65022
Bai, Zhong-Zhi; Wang, Li; Yuan, Jin-Yun
2003
Parallel chaotic multisplitting iterative methods for the large sparse linear complementarity problem. Zbl 0987.65051
Bai, Zhongzhi
2001
On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems. Zbl 1240.65122
Dai, Hua; Bai, Zhongzhi
2010
On convergence rate of the randomized Gauss-Seidel method. Zbl 1459.65040
Bai, Zhong-Zhi; Wang, Lu; Wu, Wen-Ting
2021
On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1483.65065
Bai, Zhong-Zhi; Wu, Wen-Ting
2021
The power method and beyond. Zbl 1460.65038
Bai, Zhong-Zhi; Wu, Wen-Ting; Muratova, Galina V.
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
2021
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. Zbl 1453.65062
Bai, Zhong-Zhi; Lu, Kang-Ya
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
2020
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128
Bai, Zhong-Zhi; Wu, Wen-Ting
2019
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems. Zbl 1420.65028
Bai, Zhong-Zhi; Wu, Wen-Ting
2019
Regularized HSS iteration methods for stabilized saddle-point problems. Zbl 07130811
Bai, Zhongzhi
2019
On banded $$M$$-splitting iteration methods for solving discretized spatial fractional diffusion equations. Zbl 1450.65102
Bai, Zhong-Zhi; Lu, Kang-Ya
2019
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces. Zbl 1434.65031
Bai, Zhong-Zhi; Miao, Cun-Qiang
2019
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems. Zbl 1442.65053
Bai, Zhong-Zhi; Miao, Cun-Qiang; Jian, Shuai
2019
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Zbl 06892553
Bai, Zhong-Zhi; Wu, Wen-Ting
2018
On greedy randomized Kaczmarz method for solving large sparse linear systems. Zbl 1383.65024
Bai, Zhong-Zhi; Wu, Wen-Ting
2018
On convergence rate of the randomized Kaczmarz method. Zbl 1391.65063
Bai, Zhong-Zhi; Wu, Wen-Ting
2018
On spectral clustering of HSS preconditioner for generalized saddle-point matrices. Zbl 1398.65036
Bai, Zhong-Zhi
2018
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts. Zbl 06945795
Bai, Zhong-Zhi
2018
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Zbl 06986992
Bai, Zhong-Zhi
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
2017
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
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
2017
On local quadratic convergence of inexact simplified Jacobi-Davidson method. Zbl 1359.65055
Bai, Zhong-Zhi; Miao, Cun-Qiang
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
2017
Modulus-based multigrid methods for linear complementarity problems. Zbl 1463.65160
Bai, Zhong-Zhi; Zhang, Li-Li
2017
On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints. Zbl 1352.65096
Bai, Zhong-Zhi; Tao, Min
2017
On SSOR-like preconditioners for non-Hermitian positive definite matrices. Zbl 1413.65040
Bai, Zhong-Zhi
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
2016
Motivations and realizations of Krylov subspace methods for large sparse linear systems. Zbl 1311.65032
Bai, Zhong-Zhi
2015
On preconditioned iteration methods for complex linear systems. Zbl 1360.65089
Bai, Zhong-Zhi
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
2015
On the numerical behavior of matrix splitting iteration methods for solving linear systems. Zbl 1317.65089
Bai, Zhong-Zhi; Rozložník, Miroslav
2015
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. Zbl 1300.65020
Bai, Zhong-Zhi; Hadjidimos, Apostolos
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
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
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
2013
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131
Bai, Zhong-Zhi; Zhang, Li-Li
2013
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088
Bai, Zhong-Zhi; Zhang, Li-Li
2013
Rotated block triangular preconditioning based on PMHSS. Zbl 1305.65114
Bai, Zhong-Zhi
2013
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. Zbl 1252.15022
Bai, Zhong-Zhi
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
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
2013
On nonsingularity of block two-by-two matrices. Zbl 1283.15009
Bai, Zheng-Jian; Bai, Zhong-Zhi
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
2013
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048
Bai, Zhong-Zhi
2012
On convergence of the inner-outer iteration method for computing Pagerank. Zbl 1264.65041
Bai, Zhong-Zhi
2012
Erratum: On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1274.65089
Bai, Zhong-Zhi; Ng, Michael K.
2012
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
2011
Block preconditioners for elliptic PDE-constrained optimization problems. Zbl 1242.65121
Bai, Zhong-Zhi
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
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
2011
On eigenvalue bounds and iteration methods for discrete algebraic Riccati equations. Zbl 1249.65092
Dai, Hua; Bai, Zhongzhi
2011
On convergence conditions of waveform relaxation methods for linear differential-algebraic equations. Zbl 1222.65080
Bai, Zhong-Zhi; Yang, Xi
2011
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
2010
Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181
Bai, Zhong-Zhi
2010
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems. Zbl 1205.65146
Bai, Zhong-Zhi
2010
On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices. Zbl 1224.65133
Bai, Zhongzhi; Guo, Xueping
2010
On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems. Zbl 1240.65122
Dai, Hua; Bai, Zhongzhi
2010
Block-triangular preconditioners for systems arising from edge-preserving image restoration. Zbl 1240.65165
Bai, Zhongzhi; Huang, Yumei; Ng, Michael K.
2010
Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081
Bai, Zhong-Zhi
2009
Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033
Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi
2009
On semi-convergence of parameterized Uzawa methods for singular saddle point problems. Zbl 1173.65026
Zheng, Bing; Bai, Zhong-Zhi; Yang, Xi
2009
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
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
2009
On preconditioned iterative methods for certain time-dependent partial differential equations. Zbl 1195.65032
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
2009
Numerical study on incomplete orthogonal factorization preconditioners. Zbl 1161.65036
Bai, Zhong-Zhi; Duff, Iain S.; Yin, Jun-Feng
2009
Modified incomplete orthogonal factorization methods using Givens rotations. Zbl 1176.65034
Bai, Zhong-Zhi; Yin, Jun-Feng
2009
On parameterized inexact Uzawa methods for generalized saddle point problems. Zbl 1144.65020
Bai, Zhong-Zhi; Wang, Zeng-Qi
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.
2008
Several splittings for non-Hermitian linear systems. Zbl 1168.65014
Bai, Zhong-Zhi
2008
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. Zbl 1174.65014
Yin, Junfeng; Bai, Zhongzhi
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
2008
Convergence conditions for splitting iteration methods for non-Hermitian linear systems. Zbl 1135.65018
Wang, Li; Bai, Zhong-Zhi
2008
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
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
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.
2007
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
2007
Splitting iteration methods for non-Hermitian positive definite systems of linear equations. Zbl 1138.65027
Bai, Zhong-Zhi
2007
On preconditioned iterative methods for Burgers equations. Zbl 1144.65034
Bai, Zhong-Zhi; Huang, Yu-Mei; Ng, Michael K.
2007
Modified Bernoulli iteration methods for quadratic matrix equation. Zbl 1141.65359
Bai, Zhongzhi; Gao, Yonghua
2007
Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041
Bai, Zhong-Zhi
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
2006
New preconditioners for saddle point problems. Zbl 1088.65040
Pan, Jian-Yu; Ng, Michael K.; Bai, Zhong-Zhi
2006
A shift-splitting preconditioner for non-Hermitian positive definite matrices. Zbl 1120.65054
Bai, Zhongzhi; Yin, Junfeng; Su, Yangfeng
2006
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. Zbl 1083.65045
Bai, Zhong-Zhi; Wang, Zeng-Qi
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
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
2006
Convergence analysis of two-stage waveform relaxation method for the initial value problems. Zbl 1101.65084
Wang, Jing; Bai, Zhong-Zhi
2006
A modified damped Newton method for linear complementarity problems. Zbl 1106.65052
Bai, Zhong-Zhi; Dong, Jun-Liang
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.
2006
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
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
2005
On inexact preconditioners for nonsymmetric matrices. Zbl 1077.65043
Bai, Zhong-Zhi; Ng, Michael K.
2005
Best approximate solution of matrix equation $$AXB+CYD=E$$. Zbl 1096.15004
Liao, An-Ping; Bai, Zhong-Zhi; Lei, Yuan
2005
On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. Zbl 1079.65052
Guo, Xiaoxia; Bai, Zhongzhi
2005
Two-step waveform relaxation methods for implicit linear initial value problems. Zbl 1164.65440
Pan, Jian-Yu; Bai, Zhong-Zhi; Ng, Michael K.
2005
Alternating splitting waveform relaxation method and its successive overrelaxation acceleration. Zbl 1076.65063
Bai, Zhong-Zhi; Ng, Michael K.; Pan, Jian-Yu
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
2005
Directional secant method for nonlinear equations. Zbl 1076.65046
An, Heng-Bin; Bai, Zhong-Zhi
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
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
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 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. English Series 8 AIMS Mathematics 7 SIAM Journal on Scientific Computing 7 Applied Mathematics. Series B (English Edition) 7 Mediterranean Journal of Mathematics 7 Optimization Letters 6 Mathematics and Computers in Simulation 6 Journal of Scientific Computing 6 Computational Optimization and Applications 6 Numerical Algebra, Control and Optimization 6 Journal of Applied Analysis and Computation 6 Communications on Applied Mathematics and Computation 6 Electronic Research Archive 5 Mathematics of Computation 5 Computing 5 Filomat 4 Applied Mathematical Modelling 4 Advances in Applied Clifford Algebras 4 Advances in Computational Mathematics 4 Abstract and Applied Analysis 4 International Journal of Computational Methods 4 Frontiers of Mathematics in China 4 Science China. Mathematics 4 Journal of Mathematical Modeling 4 Results in Applied Mathematics 3 Inverse Problems 3 Journal of the Franklin Institute 3 Journal of Mathematical Analysis and Applications 3 Algebra Colloquium 3 Parallel Algorithms and Applications 3 Journal of Nonlinear Science and Applications 3 Advances in Applied Mathematics and Mechanics 3 Journal of Applied Mathematics & Informatics 3 Journal of Mathematics 3 Open Mathematics 2 Mathematical Methods in the Applied Sciences 2 Numerical Functional Analysis and Optimization 2 Operations Research Letters 2 Applied Mathematics and Mechanics. (English Edition) 2 Bulletin of the Iranian Mathematical Society 2 Communications in Numerical Methods in Engineering 2 ETNA. Electronic Transactions on Numerical Analysis 2 Acta Mathematica Sinica. English Series 2 Engineering Computations 2 Computational Methods in Applied Mathematics 2 Applied Mathematics E-Notes 2 Bulletin of the Malaysian Mathematical Sciences Society. 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
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### 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)