Zhong‐zhi Bai
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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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(Suggest an Edit or Addition)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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