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Speeding Up the GVW Algorithm via a Substituting Method 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 205-233
Authors:  Li Ting;  Sun Yao;  Huang Zhenyu;  Wang Dingkang;  Lin Dongdai
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Grobner basis  GVW  signature-based algorithm  time-memory tradeoff  
On spectral clustering of HSS preconditioner for generalized saddle-point matrices 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 卷号: 555, 页码: 285-300
Authors:  Bai, Zhong-Zhi
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Generalized saddle-point problem  Hermitian and skew-Hermitian splitting  Preconditioning  Spectral property  
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 5, 页码: 18
Authors:  Bai, Zhong-Zhi
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convergence property  HSS iteration  matrix splitting  preconditioning  respective scaling  spatial fractional diffusion equation  
On convergence rate of the randomized Kaczmarz method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 卷号: 553, 页码: 252-269
Authors:  Bai, Zhong-Zhi;  Wu, Wen-Ting
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System of linear equations  Randomized Kaczmarz method  Convergence rate  
Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 卷号: 37, 期号: 4, 页码: 4196-4218
Authors:  Lu, Kang-Ya
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Circulant matrix  Skew-circulant matrix  Preconditioning  Spatial fractional diffusion equations  
A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 1, 页码: 17
Authors:  Gong, Wei;  Tan, Zhiyu;  Zhang, Shuo
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elliptic equation  mixed finite element method  optimal control problem  optimal preconditioner  
The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations 期刊论文
LINEAR & MULTILINEAR ALGEBRA, 2018, 卷号: 66, 期号: 4, 页码: 827-839
Authors:  Huang, Na;  Ma, Chang-Feng
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System of nonlinear matrix equations  positive definite solution  structure-preserving doubling algorithm  convergence analysis  numerical examples  65H10  65F10  15A24  
Modulus-based multigrid methods for linear complementarity problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 6, 页码: 15
Authors:  Bai, Zhong-Zhi;  Zhang, Li-Li
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asymptotic convergence factor  linear complementarity problem  local Fourier analysis  modulus-based matrix splitting iteration  multigrid method  
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  
Generalization of the Sherman-Morrison-Woodbury formula involving the Schur complement 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2017, 卷号: 309, 页码: 183-191
Authors:  Xu, Xuefeng
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Sherman-Morrison-Woodbury formula  Moore-Penrose inverse  Schur complement