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Fast preconditioned iterative methods for fractional Sturm-Liouville equations 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 卷号: 37, 期号: 3, 页码: 2278-2295
Authors:  Zhang, Lei;  Zhang, GF(张国凤);  Liang, Zhao-Zheng
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fractional Sturm–  Liouville problems  preconditioning  spectral analysis  fast Fourier transform  tensor train  
Fast preconditioned iterative methods for fractional Sturm–Liouville equations 期刊论文
Numerical Methods for Partial Differential Equations, 2021, 卷号: 37, 期号: 3, 页码: 2278-2295
Authors:  Zhang, Lei;  Zhang, GF(张国凤);  Liang, Zhao-Zheng
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Computation theory  Iterative methods  Linear systems  Matrix algebra  Numerical methods  Tensors  Discretized systems  Fast convergence speed  Krylov subspace acceleration  Numerical experiments  Preconditioned iterative methods  Preconditioned matrix  Related coefficients  Solution techniques  
A restrictive preconditioner for the system arising in half-quadratic regularized image restoration 期刊论文
Applied Mathematics Letters, 2021, 卷号: 115
Authors:  Zhao, Pei-Pei;  Huang, YM(黄玉梅)
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Conjugate gradient method  Linear systems  Matrix algebra  Newton-Raphson method  Numerical methods  Restoration  Ill conditioned problems  Image restoration problem  Numerical experiments  Preconditioned matrix  Regularization methods  Spectral properties  Structured systems  Symmetric positive definite  
Scaled diagonal-times-Toeplitz splitting iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 4, 页码: 3225-3242
Authors:  Zeng, Min-Li;  Zhang, GF(张国凤)
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convergence  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  
Scaled diagonal-times-Toeplitz splitting iteration methods for solving discretized spatial fractional diffusion equations 会议论文
Mathematical Methods in the Applied Sciences
Authors:  Zeng, Min-Li;  Zhang, GF(张国凤)
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Anisotropy  Diffusion  Eigenvalues and eigenfunctions  Numerical methods  Partial differential equations  Fractional diffusion equation  Iteration method  Numerical experiments  Preconditioned GMRES  Preconditioned matrix  Preconditioners  Splitting iteration method  Variable coefficients  
Preconditioned iterative methods for the convective FitzHugh–Nagumo equations 期刊论文
Computers and Mathematics with Applications, 2020, 卷号: 80, 期号: 12, 页码: 2915-2924
Authors:  Li, Rui-Xia;  Zhang, GF(张国凤)
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Linear systems  Nonlinear equations  Numerical methods  Model parameters  Nonlinear terms  Numerical experiments  Numerical solution  Preconditioned iterative methods  Preconditioners  Spectral properties  Symmetric indefinite matrixes  
复对称问题、线性互补问题和线性离散不适定问题的四种数值解法研究 学位论文
, 兰州: 兰州大学, 2020
Authors:  张维红
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复对称线性系统  线性互补问题  线性离散不适定问题  迭代方法  收敛性  
Conjugate gradient method preconditioned with modified block SSOR iteration for multiplicative half-quadratic image restoration 期刊论文
CALCOLO, 2020, 卷号: 57, 期号: 3
Authors:  Zhao, Pei-Pei;  Huang, YM(黄玉梅)
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Image restoration  Multiplicative half-quadratic regularization  Newton method  Preconditioners  
Extrapolation Accelerated PRESB Method for Solving a Class of Block Two-By-Two Linear Systems 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2020, 卷号: 10, 期号: 3, 页码: 520-531
Authors:  Liao, Li-Dan;  Zhang, GF(张国凤);  Wang, Xiang
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PRESB preconditioner  two-by-two block matrix  spectral radius  iteration method  convergence factor  
几类离散非线性偏微分方程及其约束优化问题的迭代解法 学位论文
, 兰州: 兰州大学, 2020
Authors:  李瑞霞
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鞍点问题  PDE 约束优化问题  预处理  矩阵分裂  Krylov 子空间方法  谱分析