Kursledare: Axel Ruhe
Datorpostadress(er): ruhe@nada.kth.se
Studiehandbokstexten på svenska
och engelska.
10:15 
Jonas Thies Maria Fröling 
Multigrid 
10:45 
Robin Olofsson 
Simultaneous diagonalization of several
matrices 
11:00 Break 

11:15 
Emanuel Rubensson 
Quantum Chemistry, Self Consistent Field
calculations 
11:30 
John Folkesson 
Jacobi Davidson for eigenvalues JDQZ 
11:45 
Kun Zhu Ning Yu 
Preconditioned iterations for large linear systems 
12:00 
Chang Cheng 
Compare lanso and eigs for large eigenvalues 
11:00  Keyvan Ahsant Francois Corradino 
Jacobi Davidson for eigenvalues JDQR 

11:20 
David Anisi Maja Karasalo 
Laplace matrix for graph partitioning 

11:40 
Fredrik Carlsson Mats Werme 
Information retrieval with SVD 

Lunch break 

13:20 
Tove Gustavi Stefan Almer 
Model reduction or the CD player 

13:40 
Meeting 
Text 
Contents 

1 
Wednesday, Oct 27, 15:1517 in E33 
D 2.2, 2.2.1 
Linear Systems: Perturbations, relative
perturbations 
2 
Tuesday, Nov 2, 13:1515 in D4523 
D 2.4.2, 2.4.3 
Rounding errors in Gaussian elimination,
Condition estimation 
3 
Thursday, Nov 4, 13:1515 in D4523 
D 6.6.1 L4.2.1 
Krylov subspaces: Arnoldi algorithm, eigenvalues
and linear systems 
4 
Wednesday, Nov 10, 15:1517 in D4523 
D 7.2, D 5.2 L4.2.2 E 4.4 
Symmetric matrices: Lanczos algorithm, Ritz
approximations, perturbation theory, Courant Fischer minimax 
5 
Tuesday, Nov 16, 13:1515 in D4523 
D 7.34 E 4.4.24 
Lanczos algorithm: Convergence and orthogonality 
6 
Thursday, Nov 18, 13:1515 in D4523 
D 6.6.23 L 5.12 
Krylov subspaces, linear systems: Conjugate
gradient algorithm 
7 
Tuesday, Nov 23, 13:1515 in D4523 
D 6.6.45 L 5.3 
CG: convergence and preconditioning 
8 
Thursday, Nov 25, 13:1515 in D4523 
D 6.6.6 
Linear systems: Further developments, GMRES, QMR 
9 
Tuesday, Nov 30, 13:1515 in D4523 
E4.4.3, E 4.5 
Eigenvalues: Spectral transformation, implicit
restart 
10 
Thursday, Dec 2, 13:1515 in D4523 
Computing the SVD: Bidiagonalization, bidiagonal
SVD 

11 
Tuesday, Dec 7, 13:1515 in D4523 
D 5.3.3 
Large tridiagonal matrices: Divide and Conquer,
Relative Robust Representation 
12 
Thursday, Dec 9, 13:1515 in D4523 
Large SVD: Hubs and authorities on the web The largest matrix eigenvalue problem: The Google matrix 

13 
Tuesday, Dec 14, 13:1515 in D4523 
Cancelled! 
Upp till Nadas
kurser.