Zhong-Zhi Bai

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 22

Top Topics

Diffusion Equation

Positive Definite

Top Venues

Numer. Linear Algebra Appl.

Appl. Math. Lett.

Numer. Algorithms

J. Comput. Appl. Math.

Publications

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)
Zhong-Zhi Bai
On convergence of the matrix splitting iteration paradigm for solving systems of linear equations. Appl. Math. Lett. 150 (2024)
Zhong-Zhi Bai, Kang-Ya Lu
An economic implementation of the optimal rotated block-diagonal preconditioning method. Numer. Algorithms 93 (1) (2023)
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) (2021)
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)
Zhong-Zhi Bai, Kang-Ya Lu
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. J. Comput. Phys. 404 (2020)
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)
Zhong-Zhi Bai, Cun-Qiang Miao
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces. Numer. Algorithms 82 (4) (2019)
Zhong-Zhi Bai, Cun-Qiang Miao, Shuai Jian
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems. Comput. Math. Appl. 77 (9) (2019)
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)
Zhong-Zhi Bai, Wen-Ting Wu
On Greedy Randomized Kaczmarz Method for Solving Large Sparse Linear Systems. SIAM J. Sci. Comput. 40 (1) (2018)
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)
Zhong-Zhi Bai, Wen-Ting Wu
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. Appl. Math. Lett. 83 (2018)
Zhong-Zhi Bai
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Numer. Linear Algebra Appl. 25 (5) (2018)
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)
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 (2017)
Zhong-Zhi Bai, Li-Li Zhang
Modulus-based multigrid methods for linear complementarity problems. Numer. Linear Algebra Appl. 24 (6) (2017)
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 (2017)
Zhong-Zhi Bai
On SSOR-like preconditioners for non-Hermitian positive definite matrices. Numer. Linear Algebra Appl. 23 (1) (2016)
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) (2015)
Zhong-Zhi Bai, Miroslav Rozlozník
On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems. SIAM J. Numer. Anal. 53 (4) (2015)
Zhong-Zhi Bai
Motivations and realizations of Krylov subspace methods for large sparse linear systems. J. Comput. Appl. Math. 283 (2015)
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) (2014)
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) (2014)
Zhong-Zhi Bai, Li-Li Zhang
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Numer. Algorithms 62 (1) (2013)
Zhong-Zhi Bai
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. J. Comput. Appl. Math. 237 (1) (2013)
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) (2013)
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) (2013)
Zhong-Zhi Bai, Li-Li Zhang
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Numer. Linear Algebra Appl. 20 (3) (2013)
Zhong-Zhi Bai, Xi Yang
Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations. J. Comput. Appl. Math. 236 (13) (2012)
Zhong-Zhi Bai, Michael K. Ng
Erratum. Numer. Linear Algebra Appl. 19 (5) (2012)
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) (2012)
Zhong-Zhi Bai, Iain S. Duff, Lothar Reichel, Zhong-Ci Shi
Innovative methods and theories in numerical algebra. Numer. Linear Algebra Appl. 19 (6) (2012)
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) (2011)
Zhong-Zhi Bai
Block preconditioners for elliptic PDE-constrained optimization problems. Computing 91 (4) (2011)
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) (2011)
Zhong-Zhi Bai, Xi Yang
On convergence conditions of waveform relaxation methods for linear differential-algebraic equations. J. Comput. Appl. Math. 235 (8) (2011)
Zhong-Zhi Bai, Michele Benzi, Fang Chen
On preconditioned MHSS iteration methods for complex symmetric linear systems. Numer. Algorithms 56 (2) (2011)
Zhong-Zhi Bai, Hua Dai, Xing-Ping Liu, Jun-Feng Yin
Preface. Appl. Math. Comput. 216 (6) (2010)
Zhong-Zhi Bai, Michele Benzi, Fang Chen
Modified HSS iteration methods for a class of complex symmetric linear systems. Computing 87 (3-4) (2010)
Zhong-Zhi Bai
Modulus-based matrix splitting iteration methods for linear complementarity problems. Numer. Linear Algebra Appl. 17 (6) (2010)
Zhong-Zhi Bai
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems. Computing 89 (3-4) (2010)
Zhong-Zhi Bai, Jun-Feng Yin
Modified incomplete orthogonal factorization methods using Givens rotations. Computing 86 (1) (2009)
Zhong-Zhi Bai, Michael K. Ng, Zeng-Qi Wang
Constraint Preconditioners for Symmetric Indefinite Matrices. SIAM J. Matrix Anal. Appl. 31 (2) (2009)
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) (2009)
Zhong-Zhi Bai
Optimal parameters in the HSS-like methods for saddle-point problems. Numer. Linear Algebra Appl. 16 (6) (2009)
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) (2009)
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) (2008)
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) (2007)
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) (2007)
Zhong-Zhi Bai, Yu-Mei Huang, Michael K. Ng
On Preconditioned Iterative Methods for Burgers Equations. SIAM J. Sci. Comput. 29 (1) (2007)
Zhong-Zhi Bai, Jun-Liang Dong
A modified damped Newton method for linear complementarity problems. Numer. Algorithms 42 (3-4) (2006)
Zhong-Zhi Bai, Wai-Ki Ching, Michael K. Ng
Preface. Appl. Math. Comput. 172 (2) (2006)
Jing Wang, Zhong-Zhi Bai
Convergence analysis of two-stage waveform relaxation method for the initial value problems. Appl. Math. Comput. 172 (2) (2006)
Jianyu Pan, Michael K. Ng, Zhong-Zhi Bai
New preconditioners for saddle point problems. Appl. Math. Comput. 172 (2) (2006)
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) (2006)
Zhong-Zhi Bai
Structured preconditioners for nonsingular matrices of block two-by-two structures. Math. Comput. 75 (254) (2006)
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) (2006)
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) (2006)
An-ping Liao, Zhong-Zhi Bai, Yuan Lei
Best Approximate Solution of Matrix Equation AXB+CYD=E. SIAM J. Matrix Anal. Appl. 27 (3) (2005)
Zhong-Zhi Bai, Beresford N. Parlett, Zeng-Qi Wang
On generalized successive overrelaxation methods for augmented linear systems. Numerische Mathematik 102 (1) (2005)
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) (2005)
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) (2005)
Zhong-Zhi Bai, Michael K. Ng
On Inexact Preconditioners for Nonsymmetric Matrices. SIAM J. Sci. Comput. 26 (5) (2005)
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) (2004)
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) (2004)
Zhong-Zhi Bai, Michael K. Ng
Preconditioners for nonsymmetric block toeplitz-like-plus-diagonal linear systems. Numerische Mathematik 96 (2) (2003)
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) (2003)
Zhong-Zhi Bai, David J. Evans
Matrix Multisplitting Methods with Applications to Linear Complementarity Problems. Parallel Asynchronous Methods. Int. J. Comput. Math. 79 (2) (2002)
Zhong-Zhi Bai
Modified Block SSOR Preconditioners for Symmetric Positive Definite Linear Systems. Ann. Oper. Res. 103 (1-4) (2001)
Zhong-Zhi Bai
Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems. Appl. Math. Comput. 109 (2-3) (2000)
Zhong-Zhi Bai
A class of parallel hybrid two-stage iteration methods for block bordered linear systems. Appl. Math. Comput. 101 (2-3) (1999)
Zhong-Zhi Bai
A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations. Adv. Comput. Math. 10 (2) (1999)
Zhong-Zhi Bai, Violeta Migallón, José Penadés, Daniel B. Szyld
Block and asynchronous two-stage methods for mildly nonlinear systems. Numerische Mathematik 82 (1) (1999)
Zhong-Zhi Bai
On the Convergence of the Multisplitting Methods for the Linear Complementarity Problem. SIAM J. Matrix Anal. Appl. 21 (1) (1999)
Zhong-Zhi Bai
Asynchronous multisplitting AOR methods for a class of systems of weakly nonlinear equations. Appl. Math. Comput. 98 (1) (1999)
Zhong-Zhi Bai
A class of asynchronous parallel multisplitting blockwise relaxation methods. Parallel Comput. 25 (6) (1999)
Zhong-Zhi Bai, David J. Evans
Asynchronous multisplitting relaxation methods for linear complementarity problems. Int. J. Comput. Math. 70 (3) (1999)
Zhong-Zhi Bai
Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems. Appl. Math. Comput. 92 (1) (1998)
David J. Evans, Zhong-Zhi Bai
On the Convergence of Two-Stage Multisplitting Methods for Linear Systems. Neural Parallel Sci. Comput. 6 (3) (1998)
Zhong-Zhi Bai, David J. Evans
Matrix multisplitting relaxation methods for linear complementarity problems. Int. J. Comput. Math. 63 (3-4) (1997)
Zhong-Zhi Bai
A class of two-stage iterative methods for systems of weakly nonlinear equations. Numer. Algorithms 14 (4) (1997)
Zhong-Zhi Bai
Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations. Numer. Algorithms 15 (3-4) (1997)
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) (1997)
David J. Evans, Zhong-Zhi Bai
Blockwise matrix multi-splitting multi-parameter block relaxation methods. Int. J. Comput. Math. 64 (1-2) (1997)
Deren Wang, Zhong-Zhi Bai, David J. Evans
A Class of Asynchronous Parallel Matrix Multisplitting Relaxation Methods. Parallel Algorithms Appl. 2 (3) (1994)
Deren Wang, Zhong-Zhi Bai, David J. Evans
A Class of Asynchronous Parallel Nonlinear Multisplitting Relaxation Methods. Parallel Algorithms Appl. 2 (3) (1994)