兰州大学机构库

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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  
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  
The backward problem of parabolic equations with the measurements on a discrete set 期刊论文
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2020, 卷号: 28, 期号: 1, 页码: 137-144
Authors:  Cheng, Jin;  Ke, Yufei;  Wei, T(魏婷)
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Backward problems  local measurements  ill-posedness  discrete set  
Block minimum perturbation algorithm based on block Arnoldi process for nonsymmetric linear systems with multiple right-hand sides 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 347, 页码: 741-766
Authors:  Yang, Zhanshan;  Zheng, Bing
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Block minimum joint backward  perturbation  Block Arnoldi method  Nonsymmetric linear systems  Multiple right-hand sides  Lower and upper bounds  III-conditioned problems  
总体最小二乘问题及相关理论研究 学位论文
博士, 兰州: 兰州大学, 2019
Authors:  杨占山
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总体最小二乘问题  核问题  Lanczos双对角化  向后误差  Krylov子空间  病态问题  扰动分析  
基于矩阵秩最小化和变量变换的图像恢复方法 学位论文
博士, 兰州: 兰州大学, 2018
Authors:  严辉银
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图像恢复  矩阵秩最小化问题  核范数  加权核范数  加性高斯噪声  乘性噪声  分块匹配  正则化方法  非局部方法  交替迭代方法  Box-Cox变换  最大似然估计  块匹配三维变换方法(BM3D)  
大型稀疏结构线性系统的快速算法研究 学位论文
博士, 兰州: 兰州大学, 2018
Authors:  廖丽丹
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PDE 约束优化问题  图像去噪  鞍点问题  复对称问题  Krylov 子空间方法  预处理子  最优参数  
求解病态Toeplitz系统的预处理研究 学位论文
硕士, 兰州: 兰州大学, 2018
Authors:  张佳霖
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病态Toeplitz系统  预处理  迭代法  谱分布  收敛性  
STRUCTURED CONDITION NUMBERS FOR THE TIKHONOV REGULARIZATION OF DISCRETE ILL-POSED PROBLEMS 期刊论文
Journal of Computational Mathematics, 2017, 卷号: 35, 期号: 2, 页码: 169-186
Authors:  Meng Lingsheng;  Zheng Bing
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Tikhonov regularization  Discrete ill-posed problem  Structured least squares problem  Structured condition number  
Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation 期刊论文
BIT NUMERICAL MATHEMATICS, 2014, 卷号: 54, 期号: 3, 页码: 623-647
Authors:  Chen, MH;  Wang, YT;  Cheng, X;  Deng, WH(邓伟华);  Deng, WH (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China.
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Riesz fractional diffusion equation  Second-order discretization  Toeplitz and circulant matrices  Multigrid method