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A UNIFORM SPECTRAL ANALYSIS FOR A PRECONDITIONED ALL-AT-ONCE SYSTEM FROM FIRST-ORDER AND SECOND-ORDER EVOLUTIONARY PROBLEMS 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 3, 页码: 1331-1353
作者:  Wu, Shu-Lin;  Zhou, Tao;  Zhou, Zhi
收藏  |  浏览/下载：82/0  |  提交时间：2023/02/07
time-parallel algorithm  diagonalization technique  alpha-circulant preconditioner  stability  spectral analysis  Runge-Kutta method  two-step methods  
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：162/0  |  提交时间：2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
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
作者:  Li Ting;  Sun Yao;  Huang Zhenyu;  Wang Dingkang;  Lin Dongdai
收藏  |  浏览/下载：179/0  |  提交时间：2019/04/02
Grobner basis  GVW  signature-based algorithm  time-memory tradeoff  
speedingupthegvwalgorithmviaasubstitutingmethod 期刊论文
系统科学与复杂性学报英文版, 2019, 卷号: 032, 期号: 001, 页码: 205
作者:  LI Ting;  SUN Yao;  HUANG Zhenyu;  WANG Dingkang;  LIN Dongdai
收藏  |  浏览/下载：170/0  |  提交时间：2020/01/10
Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 11, 页码: 2856-2873
作者:  Huang, Na;  Ma, Chang-Feng;  Zou, Jun
收藏  |  浏览/下载：169/0  |  提交时间：2018/07/30
Maxwell scattering problem  PML equations  Block triangular preconditioner  Spectral distributions  
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
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：966/170  |  提交时间：2018/07/25
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
作者:  Xu, Xuefeng
收藏  |  浏览/下载：104/0  |  提交时间：2018/07/30
Sherman-Morrison-Woodbury formula  Moore-Penrose inverse  Schur complement  
Convex optimization learning of faithful Euclidean distance representations in nonlinear dimensionality reduction 期刊论文
MATHEMATICAL PROGRAMMING, 2017, 卷号: 164, 期号: 1-2, 页码: 341-381
作者:  Ding, Chao;  Qi, Hou-Duo
收藏  |  浏览/下载：177/0  |  提交时间：2018/07/30
Euclidean distance matrix  Convex matrix optimization  Multidimensional scaling  Nonlinear dimensionality reduction  Low-rank matrix  Error bounds  Random graph models  
Accelerating large partial EVD/SVD calculations by filtered block Davidson methods 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 8, 页码: 1635-1662
作者:  Zhou Yunkai;  Wang Zheng;  Zhou Aihui
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/30
partial EVD/SVD  polynomial filter  rational filter  kernel  graph  
Inexact rotated block triangular preconditioners for a class of block two-by-two matrices 期刊论文
JOURNAL OF ENGINEERING MATHEMATICS, 2015, 卷号: 93, 期号: 1, 页码: 87-98
作者:  Lang, Chao;  Ren, Zhi-Ru
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Block two-by-two matrix  Block triangular preconditioning  Inexact preconditioning  Incomplete factorization