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Variational inequality transport model on the sphere by the active-set reduced-space algorithm 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2021, 卷号: 260, 页码: 10
Authors:  Yang, Haijian;  Yang, Chao;  Huang, Jizu
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Transport problem on the sphere  Variational inequality  Parallel computing  Fully implicit scheme  Active-set reduced-space method  
Regularized HSS iteration methods for stabilized saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
Authors:  Bai, Zhong-Zhi
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stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
Authors:  Huang, Na;  Ma, Chang-Feng
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PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
A nonmonotone inexact Newton method for unconstrained optimization 期刊论文
OPTIMIZATION LETTERS, 2017, 卷号: 11, 期号: 5, 页码: 947-965
Authors:  Gao, Huan;  Zhang, Hai-Bin;  Li, Zhi-Bao;  Tadjouddine, Emmanuel
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Inexact Newton method  Nonmonotone line search  Preconditioned conjugate gradient  Global convergence  
A NONLINEARLY PRECONDITIONED INEXACT NEWTON ALGORITHM FOR STEADY STATE LATTICE BOLTZMANN EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 3, 页码: A1701-A1724
Authors:  Huang, Jizu;  Yang, Chao;  Cai, Xiao-Chuan
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steady state lattice Boltzmann equations  inexact Newton algorithm  nonlinear preconditioning  pollution removing coarse space  parallel scalability  
On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 325-341
Authors:  Gao, Yong-Hua;  Bai, Zhong-Zhi
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non-symmetric algebraic Riccati equation  M-matrix  Newton iteration method  doubling iteration scheme  inexact iteration  convergence  
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 19, 页码: 6979-6994
Authors:  Lu, Benzhuo;  Holst, Michael J.;  McCammon, J. Andrew;  Zhou, Y. C.
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Electrodiffusion  Poisson-Nernst-Planck equations  Finite element  Singular charges  Molecular surface  Boundary condition  Conditioning  
ON NEWTON-HSS METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS WITH POSITIVE-DEFINITE JACOBIAN MATRICES 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 2, 页码: 235-260
Authors:  Bai, Zhong-Zhi;  Guo, Xue-Ping
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Systems of nonlinear equations  HSS iteration method  Newton method  Local convergence  
Inexact multisplitting methods for linear complementarity problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 223, 期号: 2, 页码: 714-724
Authors:  Dong, Jun-Liang
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Linear complementarity problem  Inexact multisplitting method  H-matrix  Symmetric matrix  Convergence property  
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2007, 卷号: 57, 期号: 3, 页码: 235-252
Authors:  An, Heng-Bin;  Bai, Zhong-Zhi
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systems of nonlinear equations  inexact Newton method  GMRES  global convergence