Schedule
- 2016.10.19: 袁甲,洪丹, Numerical methods for saddle-point problems (II)
- 2016.10.12: 袁甲,洪丹, Numerical methods for saddle-point problems (I)
- 2016.09.28: 潘建瑜, On FFT and circulant matrices
- 2016.09.21: 周榆婷, On the space fractional nonlinear Schrodinger equations
On HSS-like iteration method for the SFCNSE,
Ran, Wang and Wang, AMC, 2015
A linearly implicit conservative difference scheme for the SFCNSE,
Wang, Xiao and Yang, JCP, 2014
Crank–Nicolson difference scheme for the CNSE with the Riesz SFD,
Wang, Xiao and Yang, JCP, 2013
- 2016.09.14: 沈婷, On FV for FDE on a local refined composite mesh
A preconditioned fast FV scheme for a FDE discretized on a locally refined composite mesh,
Jia and Wang, JCP, 2015
- 2016.04.07: 周榆婷, Preconditioning for PDE constrained optimization with control constraints
- 2016.03.31: 沈婷, On nonsingular saddle-point systems with a maximally rank deficient leading block
- 2016.03.24: 周榆婷, PDE optimization, all-at-once, part B
- 2016.03.17: 周榆婷, PDE optimization, all-at-once, part A
- 2016.03.10: 沈婷, FDE, Block triangular quasi-Toepliz with tridiagonal blocks
- 2016.03.03: 周榆婷, Inexact Uzawa method for SPP (II)
- 2016.02.25: 解毅, 复系数方程组的 MSHNS 和 GAOR 算法
- 2016.01.19: 沈婷, FDE, omega-circulant matrix
- 2015.01.12: 周榆婷, Inexact Uzawa method for SPP
Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems,
Bramble, Pasciak and Vassilev, SINUM, 1997
- 2016.01.05: 沈婷,
PCG for saddle point problem with constraint preconditioner
On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization,
Gould, et al, SISC, 2001
Constraint Preconditioning for Indefinite Linear Systems,
Keller, Gould and Wathen, SIMAX, 2000
- 2015.12.29: 周榆婷,
Framework of solution methods for generalized symmetric SPP,
PCG in nonstandard inner products
Preconditioning Saddle-Point Systems with Applications in Optimization,
Dollar, Gould, Stoll and Wathen, SISC, 2010
- 2015.12.22: 沈婷,
PDE-Constrained Optimization, preconditioners based on Schur complement
Optimal Solvers for PDE-Constrained Optimization,
Rees, Dollar and Wathen, SISC, 2010
- 2015.12.15: 潘建瑜, FDE 介绍
(讲义)
- 2015.09--12: 沈婷, 周榆婷,
Krylov subspace methods / Toeplitz matrices and preconditioners
Iterative Methods for Linear Systems -- Theory and Applications,
M. A. Olshanskii and E. E. Tyrtyshnikov, SIAM, 2014.
- 2014.10.18: 潘建瑜, Toeplitz 矩阵, 循环矩阵.
讲义, 相关程序
Conjugate Gradient Methods for Toeplitz Systems,
Chan and Ng, SIAM Review, (38) 1996, 427--482.
A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions,
Ng, Chan and Tang, SISC, 1999.
- 2014.10.11: 解毅, 特征值反问题 (II)
- 2014.09.23: 解毅, 特征值反问题 (I)
Inverse Eigenvalue Problems,
M.T. Chu, SIAM Review, 40 (1998), 1--39.
Inverse eigenvalue problems - Theory Algorithms and Applications,
M.T. Chu and G.H. Golub, Oxford, 2005.
(Slides)
- 2014.09.16: 潘建瑜
- 2014.04.30: 鲁银冰, 张量及其特征值计算.
- 2014.04.23: 鲁银冰, 非负矩阵的性质及其应用 (II).
- 2014.04.16: 鲁银冰, 非负矩阵的性质及其应用 (I).
Nonnegative Matrices in the Mathematical Sciences,
Berman and Plemmons, SIAM, 1994 (first published in 1979)
Matrix Analysis, 2nd edition,
Horn and Johnson, Cambridge, 2013. (first edition 1985)
- 2014.04.09: 沈婧, FDE 相关线性方程组的求解.
- 2014.04.02: 鞍点问题介绍 (I)
- 2013.01.10: 鲁银冰,
Finding the Largest Eigenvalue of a Nonnegative Tensor,
Michael Ng, Liqun Qi And Guanglu Zhou,
SIAM J. Matrix Anal. Appl., 31 (2009), 1090-–1099.
- 2012.12.27: 赵晨晖,
- 2012.12.20: 鲁银冰,
Perron–Frobenius theorem for nonnegative tensors,
K.C. Chang, Kelly Pearson and Tan Zhang,
COMMUN. MATH. SCI., Vol. 6, No. 2, pp. 507–-520.
- 2012.10.25: 赵晨晖,
Alternating-directional Doubling Algorithm for M-Matrix Algebraic Riccati Equations
Wang, Wang and Li,
SIMAX, 33 (2012), 170--194.
- 2012.10.18: 鲁银冰,
Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems,
Kressner and Tobler,
SIMAX, 32 (2011), 1288--1316.
- 2012.10.11: 关新,
An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains,
Gander, Loisel and Szyld,
SIMAX, 33 (2012), 653--680.
- 2012.09.27: 陈佩琴,
Numerically Stable Factorization Of F-type Saddle Point Matrices,
de Niet and Wubs, IMA Journal of Numerical Analysis, 29 (2009), 208--234.
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