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Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 82, 期号: 4, 页码: 1251-1277
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载:126/0  |  提交时间:2020/05/24
Hermitian eigenproblem  Krylov subspace method  Inexact iteration  Convergence property  
A cascadic multigrid method for nonsymmetric eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 55-72
作者:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
收藏  |  浏览/下载:161/0  |  提交时间:2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution 期刊论文
Inverse Problems, 2019, 卷号: 35, 期号: 12
作者:  Liu,Hongyu;  Liu,Xiaodong;  Wang,Xianchao;  Wang,Yuliang
收藏  |  浏览/下载:150/0  |  提交时间:2020/03/10
wave imaging  shape reconstruction  interior resonant modes  eigenvalue and eigenfunction reconstruction  
Eigenvalue estimate of the Dirac operator and Rigidity of Poincare-Einstein metrics 期刊论文
MATHEMATISCHE ZEITSCHRIFT, 2019, 卷号: 293, 期号: 1-2, 页码: 485-502
作者:  Chen, Daguang;  Wang, Fang;  Zhang, Xiao
收藏  |  浏览/下载:165/0  |  提交时间:2020/01/10
Eigenvalue  Dirac operator  Boundary condition  Yamabe invariant  Poincare-Einstein metric  
ON THE CONVERGENCE OF A TWO-LEVEL PRECONDITIONED JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMS 期刊论文
MATHEMATICS OF COMPUTATION, 2019, 卷号: 88, 期号: 319, 页码: 2295-2324
作者:  Wang, Wei;  Xu, Xuejun
收藏  |  浏览/下载:163/0  |  提交时间:2020/01/10
Jacobi-Davidson method  eigenvalue problems  domain decomposition method  
Plane wave methods for quantum eigenvalue problems of incommensurate systems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 384, 页码: 99-113
作者:  Zhou, Yuzhi;  Chen, Huajie;  Zhou, Aihui
收藏  |  浏览/下载:106/0  |  提交时间:2019/12/13
Incommensurate system  Quantum eigenvalue problem  Plane wave  Density functional theory  
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 77, 期号: 9, 页码: 2396-2406
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang;  Jian, Shuai
收藏  |  浏览/下载:160/0  |  提交时间:2020/01/10
Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning  
ON EQUIVALENCE OF MATRICES 期刊论文
ASIAN JOURNAL OF MATHEMATICS, 2019, 卷号: 23, 期号: 2, 页码: 257-347
作者:  Cheng, Daizhan
收藏  |  浏览/下载:163/0  |  提交时间:2020/01/10
Semi-tensor product/addition(STP/STA)  vector product/addition(VP/VA)  matrix/vector equivalence (M-/V-)  lattice  topology  fiber bundle  bundled manifold/Lie algebra/Lie group(BM/BLA/BLG)  
Laplace’s equation with concave and convex boundary nonlinearities on an exterior region 期刊论文
Boundary Value Problems, 2019, 卷号: 2019, 期号: 1
作者:  Mao,Jinxiu;  Zhao,Zengqin;  Qian,Aixia
收藏  |  浏览/下载:121/0  |  提交时间:2019/04/02
Exterior regions  Laplace operator  Concave and convex mixed nonlinear boundary conditions  Fountain theorems  Steklov eigenvalue problems  35J20  35J65  46E22  49R99  
FAST EIGENPAIRS COMPUTATION WITH OPERATOR ADAPTED WAVELETS AND HIERARCHICAL SUBSPACE CORRECTION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 6, 页码: 2519-2550
作者:  Xie, Hehu;  Zhang, Lei;  Owhadi, Houman
收藏  |  浏览/下载:133/0  |  提交时间:2020/09/23
multiscale eigenvalue problem  gamblet decomposition  multigrid iteration  subspace correction  numerical homogenization