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CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 133-156
Authors:  Xu, Xuefeng;  Zhang, Chen-Song
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multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
ACCELERATION OF THE TWO-LEVEL MGRIT ALGORITHM VIA THE DIAGONALIZATION TECHNIQUE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 5, 页码: A3421-A3448
Authors:  Wu, Shu-Lin;  Zhou, Tao
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multigrid-reduction-in-time (MGRIT) algorithm  acceleration  convergence analysis  diagonalization technique  parallel coarse-grid-correction  
Locality preserving projection on SPD matrix Lie group: algorithm and analysis 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2018, 卷号: 61, 期号: 9, 页码: 15
Authors:  Li, Yangyang;  Lu, Ruqian
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manifold learning  SPD matrix Lie group  locally preserving projection  Laplace operator  Log Euclidean metric  
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  
An orthogonally accumulated projection method for symmetric linear system of equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 7, 页码: 1235-1248
Authors:  Peng WuJian;  Lin Qun;  Zhang ShuHua
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iterative method  accumulated projection  conjugate gradient method  Krylov subspace  
anorthogonallyaccumulatedprojectionmethodforsymmetriclinearsystemofequations 期刊论文
sciencechinamathematics, 2016, 卷号: 59, 期号: 7, 页码: 1235
Authors:  Peng Wujian;  Lin Qun;  Zhang Shuhua
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ON EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 341-366
Authors:  Dai, Hua;  Bai, Zhong-Zhi
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Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory  
POSITIVE-DEFINITE MEMORYLESS SYMMETRIC RANK ONE METHOD FOR LARGE-SCALE UNCONSTRAINED OPTIMIZATION 期刊论文
PACIFIC JOURNAL OF OPTIMIZATION, 2011, 卷号: 7, 期号: 1, 页码: 29-41
Authors:  Leong, Wah June;  Abu Hassan, Malik
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large-scale unconstrained optimization  symmetric rank one method  memoryless method  optimal scaling  
Modulus-based matrix splitting iteration methods for linear complementarity problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2010, 卷号: 17, 期号: 6, 页码: 917-933
Authors:  Bai, Zhong-Zhi
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linear complementarity problem  matrix splitting  iteration method  convergence  
Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2010, 卷号: 3, 期号: 4, 页码: 461-474
Authors:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.;  Yang, Xi
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Edge-preserving  image restoration  multiplicative half-quadratic regularization  Newton method  preconditioned conjugate gradient method  constraint preconditioner  eigenvalue bounds