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Zhong-Zhi Bai
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2020 – today
- 2024
- [j87]Zhong-Zhi Bai:
On convergence of the matrix splitting iteration paradigm for solving systems of linear equations. Appl. Math. Lett. 150: 108969 (2024) - [j86]Zhong-Zhi Bai:
A two-step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations. Numer. Linear Algebra Appl. 31(3) (2024) - 2023
- [j85]Zhong-Zhi Bai, Kang-Ya Lu:
An economic implementation of the optimal rotated block-diagonal preconditioning method. Numer. Algorithms 93(1): 85-101 (2023) - 2021
- [j84]Zhong-Zhi Bai, Wen-Ting Wu:
On Greedy Randomized Augmented Kaczmarz Method for Solving Large Sparse Inconsistent Linear Systems. SIAM J. Sci. Comput. 43(6): A3892-A3911 (2021) - 2020
- [j83]Zhong-Zhi Bai, Kang-Ya Lu:
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. J. Comput. Phys. 404 (2020) - [j82]Zhong-Zhi Bai, Kang-Ya Lu:
On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations. Numer. Linear Algebra Appl. 27(1) (2020)
2010 – 2019
- 2019
- [j81]Zhong-Zhi Bai, Cun-Qiang Miao, Shuai Jian:
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems. Comput. Math. Appl. 77(9): 2396-2406 (2019) - [j80]Zhong-Zhi Bai, Cun-Qiang Miao:
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces. Numer. Algorithms 82(4): 1251-1277 (2019) - [j79]Zhong-Zhi Bai, Wen-Ting Wu:
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Numer. Linear Algebra Appl. 26(4) (2019) - 2018
- [j78]Zhong-Zhi Bai, Wen-Ting Wu:
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Appl. Math. Lett. 83: 21-26 (2018) - [j77]Zhong-Zhi Bai:
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts. Numer. Linear Algebra Appl. 25(4) (2018) - [j76]Zhong-Zhi Bai, Maya G. Neytcheva, Lothar Reichel:
Editorial: Novel methods and theories in numerical algebra with interdisciplinary applications. Numer. Linear Algebra Appl. 25(4) (2018) - [j75]Zhong-Zhi Bai:
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Numer. Linear Algebra Appl. 25(5) (2018) - [j74]Zhong-Zhi Bai, Wen-Ting Wu:
On Greedy Randomized Kaczmarz Method for Solving Large Sparse Linear Systems. SIAM J. Sci. Comput. 40(1) (2018) - 2017
- [j73]Zhong-Zhi Bai, Cun-Qiang Miao:
On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems. Appl. Math. Lett. 72: 23-28 (2017) - [j72]Zhong-Zhi Bai, Alessandro Buccini, Ken Hayami, Lothar Reichel, Jun-Feng Yin, Ning Zheng:
Modulus-based iterative methods for constrained Tikhonov regularization. J. Comput. Appl. Math. 319: 1-13 (2017) - [j71]Zhong-Zhi Bai, Kang-Ya Lu, Jianyu Pan:
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. Numer. Linear Algebra Appl. 24(4) (2017) - [j70]Zhong-Zhi Bai, Li-Li Zhang:
Modulus-based multigrid methods for linear complementarity problems. Numer. Linear Algebra Appl. 24(6) (2017) - 2016
- [j69]Zhong-Zhi Bai:
On SSOR-like preconditioners for non-Hermitian positive definite matrices. Numer. Linear Algebra Appl. 23(1): 37-60 (2016) - 2015
- [j68]Zhong-Zhi Bai:
Motivations and realizations of Krylov subspace methods for large sparse linear systems. J. Comput. Appl. Math. 283: 71-78 (2015) - [j67]Hua Dai, Zhong-Zhi Bai, Ying Wei:
On the Solvability Condition and Numerical Algorithm for the Parameterized Generalized Inverse Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 36(2): 707-726 (2015) - [j66]Zhong-Zhi Bai, Miroslav Rozlozník:
On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems. SIAM J. Numer. Anal. 53(4): 1716-1737 (2015) - 2014
- [j65]Zhong-Zhi Bai, Yu-Hong Ran, Li Yuan:
On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations. Numer. Algorithms 65(1): 43-68 (2014) - [j64]Zhong-Zhi Bai, Raymond H. Chan, Zhi-Ru Ren:
On order-reducible sinc discretizations and block-diagonal preconditioning methods for linear third-order ordinary differential equations. Numer. Linear Algebra Appl. 21(1): 108-135 (2014) - 2013
- [j63]Zhong-Zhi Bai:
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. J. Comput. Appl. Math. 237(1): 295-306 (2013) - [j62]Zhong-Zhi Bai, Li-Li Zhang:
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Numer. Algorithms 62(1): 59-77 (2013) - [j61]Zhong-Zhi Bai, Fang Chen, Zeng-Qi Wang:
Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices. Numer. Algorithms 62(4): 655-675 (2013) - [j60]Zhong-Zhi Bai, Li-Li Zhang:
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Numer. Linear Algebra Appl. 20(3): 425-439 (2013) - [j59]Zhong-Zhi Bai, Xin-Guo Liu:
On the Meany inequality with applications to convergence analysis of several row-action iteration methods. Numerische Mathematik 124(2): 215-236 (2013) - 2012
- [j58]Zhong-Zhi Bai, Xi Yang:
Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations. J. Comput. Appl. Math. 236(13): 3265-3285 (2012) - [j57]Zhong-Zhi Bai, Michael K. Ng:
Erratum. Numer. Linear Algebra Appl. 19(5): 891 (2012) - [j56]Zhong-Zhi Bai, Iain S. Duff, Lothar Reichel, Zhong-Ci Shi:
Innovative methods and theories in numerical algebra. Numer. Linear Algebra Appl. 19(6): 893-895 (2012) - [j55]Zhong-Zhi Bai:
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Numer. Linear Algebra Appl. 19(6): 914-936 (2012) - 2011
- [j54]Zhong-Zhi Bai:
Block preconditioners for elliptic PDE-constrained optimization problems. Computing 91(4): 379-395 (2011) - [j53]Zhong-Zhi Bai, Xi Yang:
On convergence conditions of waveform relaxation methods for linear differential-algebraic equations. J. Comput. Appl. Math. 235(8): 2790-2804 (2011) - [j52]Zhong-Zhi Bai, Michele Benzi, Fang Chen:
On preconditioned MHSS iteration methods for complex symmetric linear systems. Numer. Algorithms 56(2): 297-317 (2011) - [j51]Yong-Hua Gao, Zhong-Zhi Bai:
On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations. Numer. Linear Algebra Appl. 18(3): 325-341 (2011) - [j50]Zhong-Zhi Bai, Raymond H. Chan, Zhi-Ru Ren:
On sinc discretization and banded preconditioning for linear third-order ordinary differential equations. Numer. Linear Algebra Appl. 18(3): 471-497 (2011) - 2010
- [j49]Zhong-Zhi Bai, Hua Dai, Xing-Ping Liu, Jun-Feng Yin:
Preface. Appl. Math. Comput. 216(6): 1681 (2010) - [j48]Zhong-Zhi Bai, Michele Benzi, Fang Chen:
Modified HSS iteration methods for a class of complex symmetric linear systems. Computing 87(3-4): 93-111 (2010) - [j47]Zhong-Zhi Bai:
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems. Computing 89(3-4): 171-197 (2010) - [j46]Zhong-Zhi Bai:
Modulus-based matrix splitting iteration methods for linear complementarity problems. Numer. Linear Algebra Appl. 17(6): 917-933 (2010)
2000 – 2009
- 2009
- [j45]Zhong-Zhi Bai, Jun-Feng Yin:
Modified incomplete orthogonal factorization methods using Givens rotations. Computing 86(1): 53-69 (2009) - [j44]Lev A. Krukier, Tatiana S. Martynova, Zhong-Zhi Bai:
Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems. J. Comput. Appl. Math. 232(1): 3-16 (2009) - [j43]Zhong-Zhi Bai:
Optimal parameters in the HSS-like methods for saddle-point problems. Numer. Linear Algebra Appl. 16(6): 447-479 (2009) - [j42]Zhong-Zhi Bai, Michael K. Ng, Zeng-Qi Wang:
Constraint Preconditioners for Symmetric Indefinite Matrices. SIAM J. Matrix Anal. Appl. 31(2): 410-433 (2009) - [j41]Zhong-Zhi Bai, Yu-Mei Huang, Michael K. Ng:
On Preconditioned Iterative Methods for Certain Time-Dependent Partial Differential Equations. SIAM J. Numer. Anal. 47(2): 1019-1037 (2009) - 2008
- [j40]Zhong-Zhi Bai, Yong-Hua Gao, Linzhang Lu:
Fast Iterative Schemes for Nonsymmetric Algebraic Riccati Equations Arising from Transport Theory. SIAM J. Sci. Comput. 30(2): 804-818 (2008) - 2007
- [j39]Zhong-Zhi Bai, Gene H. Golub, Chi-Kwong Li:
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Math. Comput. 76(257): 287-298 (2007) - [j38]Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng:
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Numer. Linear Algebra Appl. 14(4): 319-335 (2007) - [j37]Zhong-Zhi Bai, Yu-Mei Huang, Michael K. Ng:
On Preconditioned Iterative Methods for Burgers Equations. SIAM J. Sci. Comput. 29(1): 415-439 (2007) - [p1]Zhong-Zhi Bai, Michael K. Ng, Gene H. Golub:
Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Milestones in Matrix Computation 2007: 102-128 - 2006
- [j36]Zhong-Zhi Bai, Wai-Ki Ching, Michael K. Ng:
Preface. Appl. Math. Comput. 172(2): 679-681 (2006) - [j35]Jianyu Pan, Michael K. Ng, Zhong-Zhi Bai:
New preconditioners for saddle point problems. Appl. Math. Comput. 172(2): 762-771 (2006) - [j34]Jing Wang, Zhong-Zhi Bai:
Convergence analysis of two-stage waveform relaxation method for the initial value problems. Appl. Math. Comput. 172(2): 797-808 (2006) - [j33]Zhong-Zhi Bai:
Structured preconditioners for nonsingular matrices of block two-by-two structures. Math. Comput. 75(254): 791-815 (2006) - [j32]Zhong-Zhi Bai, Jun-Liang Dong:
A modified damped Newton method for linear complementarity problems. Numer. Algorithms 42(3-4): 207-228 (2006) - [j31]Zhong-Zhi Bai, Xiao-Xia Guo, Shu-Fang Xu:
Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations. Numer. Linear Algebra Appl. 13(8): 655-674 (2006) - [j30]Yuan-Bei Deng, Zhong-Zhi Bai, Yong-Hua Gao:
Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations. Numer. Linear Algebra Appl. 13(10): 801-823 (2006) - [j29]Zhong-Zhi Bai, Gene H. Golub, Chi-Kwong Li:
Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices. SIAM J. Sci. Comput. 28(2): 583-603 (2006) - 2005
- [j28]Jianyu Pan, Zhong-Zhi Bai, Michael K. Ng:
Two-step waveform relaxation methods for implicit linear initial value problems. Numer. Linear Algebra Appl. 12(2-3): 293-304 (2005) - [j27]Zhong-Zhi Bai, Beresford N. Parlett, Zeng-Qi Wang:
On generalized successive overrelaxation methods for augmented linear systems. Numerische Mathematik 102(1): 1-38 (2005) - [j26]An-ping Liao, Zhong-Zhi Bai, Yuan Lei:
Best Approximate Solution of Matrix Equation AXB+CYD=E. SIAM J. Matrix Anal. Appl. 27(3): 675-688 (2005) - [j25]Zhong-Zhi Bai, Gene H. Golub, Linzhang Lu, Jun-Feng Yin:
Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems. SIAM J. Sci. Comput. 26(3): 844-863 (2005) - [j24]Zhong-Zhi Bai, Michael K. Ng:
On Inexact Preconditioners for Nonsymmetric Matrices. SIAM J. Sci. Comput. 26(5): 1710-1724 (2005) - 2004
- [j23]Owe Axelsson, Zhong-Zhi Bai, Shou-Xia Qiu:
A Class of Nested Iteration Schemes for Linear Systems with a Coefficient Matrix with a Dominant Positive Definite Symmetric Part. Numer. Algorithms 35(2-4): 351-372 (2004) - [j22]Zhong-Zhi Bai, Gene H. Golub, Jianyu Pan:
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems. Numerische Mathematik 98(1): 1-32 (2004) - 2003
- [j21]Zhong-Zhi Bai, Michael K. Ng:
Preconditioners for nonsymmetric block toeplitz-like-plus-diagonal linear systems. Numerische Mathematik 96(2): 197-220 (2003) - [j20]Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng:
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems. SIAM J. Matrix Anal. Appl. 24(3): 603-626 (2003) - 2002
- [j19]Zhong-Zhi Bai, David J. Evans:
Matrix Multisplitting Methods with Applications to Linear Complementarity Problems. Parallel Asynchronous Methods. Int. J. Comput. Math. 79(2): 205-232 (2002) - 2001
- [j18]Zhong-Zhi Bai:
Modified Block SSOR Preconditioners for Symmetric Positive Definite Linear Systems. Ann. Oper. Res. 103(1-4): 263-282 (2001) - 2000
- [j17]Zhong-Zhi Bai:
Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems. Appl. Math. Comput. 109(2-3): 273-285 (2000)
1990 – 1999
- 1999
- [j16]Zhong-Zhi Bai:
A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations. Adv. Comput. Math. 10(2): 169-186 (1999) - [j15]Zhong-Zhi Bai:
Asynchronous multisplitting AOR methods for a class of systems of weakly nonlinear equations. Appl. Math. Comput. 98(1): 49-59 (1999) - [j14]Zhong-Zhi Bai:
A class of parallel hybrid two-stage iteration methods for block bordered linear systems. Appl. Math. Comput. 101(2-3): 245-267 (1999) - [j13]Zhong-Zhi Bai, David J. Evans:
Asynchronous multisplitting relaxation methods for linear complementarity problems. Int. J. Comput. Math. 70(3): 519-538 (1999) - [j12]Zhong-Zhi Bai, Violeta Migallón, José Penadés, Daniel B. Szyld:
Block and asynchronous two-stage methods for mildly nonlinear systems. Numerische Mathematik 82(1): 1-20 (1999) - [j11]Zhong-Zhi Bai:
A class of asynchronous parallel multisplitting blockwise relaxation methods. Parallel Comput. 25(6): 681-701 (1999) - [j10]Zhong-Zhi Bai:
On the Convergence of the Multisplitting Methods for the Linear Complementarity Problem. SIAM J. Matrix Anal. Appl. 21(1): 67-78 (1999) - 1998
- [j9]Zhong-Zhi Bai:
Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems. Appl. Math. Comput. 92(1): 85-100 (1998) - [j8]David J. Evans, Zhong-Zhi Bai:
On the Convergence of Two-Stage Multisplitting Methods for Linear Systems. Neural Parallel Sci. Comput. 6(3): 279-296 (1998) - 1997
- [j7]Zhong-Zhi Bai, David J. Evans:
Matrix multisplitting relaxation methods for linear complementarity problems. Int. J. Comput. Math. 63(3-4): 309-326 (1997) - [j6]David J. Evans, Zhong-Zhi Bai:
Blockwise matrix multi-splitting multi-parameter block relaxation methods. Int. J. Comput. Math. 64(1-2): 103-118 (1997) - [j5]Zhong-Zhi Bai:
A class of two-stage iterative methods for systems of weakly nonlinear equations. Numer. Algorithms 14(4): 295-319 (1997) - [j4]Zhong-Zhi Bai:
Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations. Numer. Algorithms 15(3-4): 347-372 (1997) - [j3]Zhong-Zhi Bai, David J. Evans, Deren Wang:
A Class of Multi-parameter Relaxed Parallel Multisplitting Methods for Large Sparse Linear Complementarity Problems. Parallel Algorithms Appl. 11(1-2): 113-127 (1997) - 1994
- [j2]Deren Wang, Zhong-Zhi Bai, David J. Evans:
A Class of Asynchronous Parallel Matrix Multisplitting Relaxation Methods. Parallel Algorithms Appl. 2(3): 173-192 (1994) - [j1]Deren Wang, Zhong-Zhi Bai, David J. Evans:
A Class of Asynchronous Parallel Nonlinear Multisplitting Relaxation Methods. Parallel Algorithms Appl. 2(3): 209-228 (1994)
Coauthor Index
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