Zhong‐zhi Bai

Zhong‐zhi Bai's AcademicInfluence.com Rankings

Zhong‐zhi Bai

Mathematics

#7129

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#9754

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Applied Mathematics

#300

World Rank

#325

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Measure Theory

#1891

World Rank

#2304

Historical Rank

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Mathematics

Zhong‐zhi Bai's Degrees

PhD Mathematics Peking University
Masters Mathematics Peking University
Bachelors Mathematics Peking University

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Zhong‐zhi Bai's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems (2002) (975)
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems (2004) (502)
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems (2007) (377)
On generalized successive overrelaxation methods for augmented linear systems (2005) (368)
Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems (2005) (320)
Modified HSS iteration methods for a class of complex symmetric linear systems (2010) (305)
Modulus‐based matrix splitting iteration methods for linear complementarity problems (2010) (291)
On parameterized inexact Uzawa methods for generalized saddle point problems (2008) (279)
Structured preconditioners for nonsingular matrices of block two-by-two structures (2005) (267)
On preconditioned MHSS iteration methods for complex symmetric linear systems (2011) (229)
Optimal parameters in the HSS‐like methods for saddle‐point problems (2009) (224)
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices (2007) (197)
Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems (2013) (190)
On successive‐overrelaxation acceleration of the Hermitian and skew‐Hermitian splitting iterations (2007) (183)
Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices (2006) (182)
On the Convergence of the Multisplitting Methods for the Linear Complementarity Problem (1999) (177)
Constraint Preconditioners for Symmetric Indefinite Matrices (2009) (163)
New preconditioners for saddle point problems (2006) (145)
ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS * (2010) (144)
Modulus‐based synchronous multisplitting iteration methods for linear complementarity problems (2013) (144)
On semi-convergence of parameterized Uzawa methods for singular saddle point problems☆ (2009) (134)
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems (2012) (133)
Matrix multisplitting relaxation methods for linear complementarity problems (1997) (129)
Best Approximate Solution of Matrix Equation AXB+CYD=E (2005) (125)
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems (2010) (123)
On Inexact Preconditioners for Nonsymmetric Matrices (2005) (117)
On Greedy Randomized Kaczmarz Method for Solving Large Sparse Linear Systems (2018) (116)
Motivations and realizations of Krylov subspace methods for large sparse linear systems (2015) (109)
Restrictively preconditioned conjugate gradient methods for systems of linear equations (2003) (107)
A unified framework for the construction of various matrix multisplitting iterative methods for large sparse system of linear equations (1996) (104)
Matrix Multisplitting Methods with Applications to Linear Complementarity Problems∶ Parallel Asynchronous Methods (2002) (96)
Block preconditioners for elliptic PDE-constrained optimization problems (2011) (90)
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems (2006) (84)
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations (2007) (82)
Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations (2006) (82)
A Class of Nested Iteration Schemes for Linear Systems with a Coefficient Matrix with a Dominant Positive Definite Symmetric Part (2004) (81)
A class of two‐stage iterative methods for systems of weakly nonlinear equations (1997) (81)
On HSS-based iteration methods for weakly nonlinear systems (2009) (79)
On preconditioned iteration methods for complex linear systems (2015) (77)
Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems (2000) (76)
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems (2018) (73)
Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations (2006) (69)
The convergence of parallel iteration algorithms for linear complementarity problems (1996) (62)
Block alternating splitting implicit iteration methods for saddle‐point problems from time‐harmonic eddy current models (2012) (60)
A Class of Incomplete Orthogonal Factorization Methods. I: Methods and Theories (1999) (59)
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks (2013) (58)
On the convergence of additive and multiplicative splitting iterations for systems of linear equations (2003) (55)
Diagonal and Toeplitz splitting iteration methods for diagonal‐plus‐Toeplitz linear systems from spatial fractional diffusion equations (2017) (54)
Splitting iteration methods for non-Hermitian positive definite systems of linear equations (2007) (54)
Block and asynchronous two-stage methods for mildly nonlinear systems (1999) (54)
Several splittings for non-Hermitian linear systems (2008) (54)
Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices (2001) (52)
The Constrained Solutions of Two Matrix Equations (2002) (52)
Preconditioners for nonsymmetric block toeplitz-like-plus-diagonal linear systems (2003) (51)
A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations (1999) (50)
Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices (2013) (50)
On Preconditioned Iterative Methods for Burgers Equations (2007) (48)
Regularized HSS iteration methods for saddle-point linear systems (2017) (48)
On the monotone convergence of matrix multisplitting relaxation methods for the linear complementarity problem (1998) (47)
Skew-Hermitian Triangular Splitting Iteration Methods for Non-Hermitian Positive Definite Linear Systems of Strong Skew-Hermitian Parts (2004) (46)
Parallel nonlinear AOR method and its convergence (1996) (44)
Modified Block SSOR Preconditioners for Symmetric Positive Definite Linear Systems (2001) (42)
On greedy randomized coordinate descent methods for solving large linear least‐squares problems (2019) (42)
Fast Iterative Schemes for Nonsymmetric Algebraic Riccati Equations Arising from Transport Theory (2008) (39)
On convergence rate of the randomized Kaczmarz method (2018) (38)
Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems (2009) (36)
On inexact Newton methods based on doubling iteration scheme for non‐symmetric algebraic Riccati equations (2011) (35)
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems (2019) (34)
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix ☆ (2014) (33)
On SSOR‐like preconditioners for non‐Hermitian positive definite matrices (2016) (33)
Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations (1997) (32)
On Preconditioned Iterative Methods for Certain Time-Dependent Partial Differential Equations (2009) (29)
Chaotic iterative methods for the linear complementarity problems (1998) (28)
Convergence conditions for splitting iteration methods for non-Hermitian linear systems☆ (2008) (28)
Modulus‐based multigrid methods for linear complementarity problems (2017) (28)
Modulus-based iterative methods for constrained Tikhonov regularization (2017) (27)
On the Meany inequality with applications to convergence analysis of several row-action iteration methods (2013) (27)
The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations (1997) (27)
Weak-convergence theory of quasi-nonnegative splittings for singular matrices (2003) (26)
ON TWO ITERATION METHODS FOR THE QUADRATIC MATRIX EQUATION (2005) (26)
On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems (2015) (25)
The convergence of the two-stage iterative method for Hermitian positive definite linear systems (1998) (24)
A Class of Asynchronous Parallel Matrix Multisplitting Relaxation Methods (1994) (23)
On local quadratic convergence of inexact simplified Jacobi–Davidson method (2017) (23)
Quasi‐HSS iteration methods for non‐Hermitian positive definite linear systems of strong skew‐Hermitian parts (2018) (23)
A modified damped Newton method for linear complementarity problems (2006) (23)
On convergence of the inner-outer iteration method for computing PageRank (2012) (22)
On the convergence of nonstationary multisplitting two-stage iteration methods for hermitian positive definite linear systems (2002) (21)
Rotated block triangular preconditioning based on PMHSS (2013) (21)
On the Solvability Condition and Numerical Algorithm for the Parameterized Generalized Inverse Eigenvalue Problem (2015) (20)
On nonsingularity of block two-by-two matrices (2013) (20)
Convergence analysis of the two-stage¶multisplitting method (1999) (20)
Matrix Analysis and Computations (2021) (20)
The monotone convergence rate of the parallel nonlinear AOR method (1996) (20)
On sinc discretization and banded preconditioning for linear third‐order ordinary differential equations (2011) (20)
On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems (2017) (19)
Numerical study on incomplete orthogonal factorization preconditioners (2009) (19)
Convergence analysis of two-stage waveform relaxation method for the initial value problems (2006) (17)
A class of parallel nonlinear multisplitting relaxation methods for the large sparse nonlinear complementarity problems (1996) (17)
Combinative preconditioners of modified incomplete cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems (2004) (17)
The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems (1996) (17)
On order‐reducible sinc discretizations and block‐diagonal preconditioning methods for linear third‐order ordinary differential equations (2014) (17)
On the convergence of parallel chaotic nonlinear multisplitting Newton-type methods (1997) (17)
On convergence conditions of waveform relaxation methods for linear differential-algebraic equations (2011) (16)
A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc-Galerkin linear systems (2003) (16)
On spectral clustering of HSS preconditioner for generalized saddle-point matrices (2018) (16)
Modified incomplete orthogonal factorization methods using Givens rotations (2009) (15)
On Eigenvalue Bounds and Iteration Methods for Algebraic Riccati Equations (2011) (15)
Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints (2016) (15)
Blockwise matrix multi-splitting multi-parameter block relaxation methods (1997) (15)
ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS (2010) (15)
On the convergence of parallel nonstationary multisplitting iteration methods (2003) (14)
Two‐step waveform relaxation methods for implicit linear initial value problems (2005) (14)
On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations (2018) (14)
Convergence theorems for parallel multisplitting two-stage iterative methods for mildly nonlinear systems (2003) (14)
Regularized HSS iteration methods for stabilized saddle-point problems (2018) (14)
A class of hybrid algebraic multilevel preconditioning methods (1996) (14)
BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION (2010) (13)
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations (2020) (13)
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations (2018) (13)
Asynchronous multisplitting two-stage iterations for systems of weakly nonlinear equations (1998) (13)
A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems (1998) (13)
A class of iteration methods based on the moser formula for nonlinear equations in Markov chains (1997) (12)
Two-step iterative methods for solving the stationary convection-diffusion equation with a small parameter at the highest derivative on a uniform grid (2006) (12)
On Greedy Randomized Augmented Kaczmarz Method for Solving Large Sparse Inconsistent Linear Systems (2021) (12)
A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations (1998) (11)
A class of asynchronous parallel multisplitting blockwise relaxation methods (1999) (10)
Block-triangular preconditioning methods for linear third-order ordinary differential equations based on reduced-order sinc discretizations (2013) (10)
Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems (1998) (10)
Alternating splitting waveform relaxation method and its successive overrelaxation acceleration (2005) (10)
Asynchronous multisplitting AOR methods for a class of systems of weakly nonlinear equations (1999) (10)
A CLASS OF NEW HYBRID ALGEBRAIC MULTILEVEL PRECONDITIONING METHODS (1997) (9)
Directional secant method for nonlinear equations (2005) (9)
Asynchronous multisplitting relaxation methods for linear complementarity problems (1999) (9)
New comparison theorem for the nonlinear multisplitting relaxation method for the nonlinear complementarity problems (1996) (9)
On convergence rate of the randomized Gauss-Seidel method (2020) (9)
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations (2021) (8)
On the convergence of a class of parallel decomposition-type relaxation methods (1997) (8)
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems (2019) (8)
On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints (2017) (7)
Parallel hybrid algebraic multilevel iterative methods (1997) (7)
The power method and beyond (2020) (7)
A Class of Asynchronous Parallel Nonlinear Multisplitting Relaxation Methods (1994) (7)
A Class of Multi-parameter Relaxed Parallel Multisplitting Methods for Large Sparse Linear Complementarity Problems (1997) (7)
A class of asynchronous parallel iterations for the systems of nonlinear algebraic equations (2000) (6)
Improved comparison theorem for the nonlinear multisplitting relaxation method (1996) (6)
On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations (2013) (5)
On the comparisons of the multisplitting unsymmetric aor methods for M-matrices (1995) (5)
On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems (2022) (5)
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces (2019) (5)
On the Convergence of Two-Stage Multisplitting Methods for Linear Systems (1998) (4)
Some properties of the block matrices in the parallel decomposition-type relaxation methods (1999) (4)
On regularized Hermitian splitting iteration methods for solving discretized almost‐isotropic spatial fractional diffusion equations (2019) (4)
A class of factorization update algorithm for solving systems of sparse nonlinear equations (1996) (3)
Parallel hybrid iteration methods for block bordered linear systems (1997) (3)
A class of parallel hybrid two-stage iteration methods for block bordered linear systems (1999) (3)
Erratum (1992) (3)
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems (2012) (2)
A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations (1999) (2)
The spectral analysis of the matrix multisplitting method for the one-dimensional model problem☆ (1998) (1)
Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations (2012) (1)
Uzawa methods for generalized saddle point problems (2008) (1)
Preconditioned Krylov subspace method for the solution of least‐squares problems (2007) (1)
Errata 1 (2005) (1)
Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints (2015) (1)
On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations (2018) (0)
2008 Reviewers (2008) (0)
Applied Mathematics and Computation: Preface (2006) (0)
Splitting Iteration Methods for Saddle Point Linear Systems (2005) (0)
On the Meany inequality with applications to convergence analysis of several row-action iteration methods (2012) (0)
Thanks to Referees (2011) (0)
Acknowledgement (2016) (0)
Editorial Preface: “Advances in numerical algebra and scientific computing” (2016) (0)
RETRACTED ARTICLE: Preface to the special issue on “Practical methods and rigorous theories in numerical algebra and scientific computing” (2014) (0)
Preface to the special issue on “Practical methods and rigorous theories in numerical algebra and scientific computing” (2015) (0)
Thanks to referees (2010) (0)
ACKNOWLEDGEMENT (2014) (0)
RETRACTED ARTICLE: Preface to the special issue on “Practical methods and rigorous theories in numerical algebra and scientific computing” (2015) (0)
TR-2016-001 Regularized HSS Iteration Method for Saddle-Point Linear Systems (2016) (0)
List of Reviewers (2012) (0)
On the Convergence of the Generalized Asynchronous Multisplitting Block Two-stage Relaxation Methods for the Large Sparse Systems of Mildly Nonlinear Equations (1999) (0)
Acknowledgement (2010) (0)
Focused Section on Matrix Computations (2020) (0)
Acknowledgement (2010) (0)
On Numerical Behavior of Matrix Splitting Iteration Methods (2014) (0)
Block-triangular preconditioning methods for linear third-order ordinary differential equations based on reduced-order sinc discretizations (2013) (0)
Regularized HSS iteration methods for saddle-point linear systems (2016) (0)
On preconditioned iteration methods for complex linear systems (2014) (0)
Editorial preface: Recent advances in numerical algebra with interdisciplinary applications (2020) (0)
Acknowledgement (2011) (0)
On refinement of the generalized Bendixson theorem (2020) (0)
Acknowledgement (2013) (0)
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces (2019) (0)
Editorial Preface: “Preconditioning and Iterative Methods for Algebraic Systems and Complementarity Problems” (2017) (0)
Innovative methods and theories in numerical algebra (2012) (0)
Editorial Preface: “Advances in numerical algebra and scientific computing” (2016) (0)
Editorial: Novel methods and theories in numerical algebra with interdisciplinary applications (2018) (0)
Focused Section on Matrix Computations (2020) (0)
Preface (2017) (0)
Preface (2006) (0)
Numerical study on incomplete orthogonal factorization preconditioners 1 (2008) (0)
On Convergence Rates of Kaczmarz-Type Methods with Different Selection Rules of Working Rows (2023) (0)
Rotated block triangular preconditioning based on PMHSS (2013) (0)
An economic implementation of the optimal rotated block-diagonal preconditioning method (2022) (0)
Construction and analysis of structured preconditioners for block two-by-two matrices (2004) (0)
Preface to the special issue on “Practical methods and rigorous theories in numerical algebra and scientific computing” (2015) (0)

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