Section |
Homework |
Part V: Eigenvalues |
25: Overview of Eigenvalue Algorithms |
25.1 and 25.3 |
26: Reduction to Hessenberg or Tridiagonal Form |
26.1 |
27: Rayleigh Quotient, Inverse Iteration |
27.1 and 27.4 |
28: QR Algorithm without Shifts |
28.2 and 28.3 |
29: QR Algorithm with Shifts |
29.1 |
30: Other Eigenvalue Algorithms |
30.1 and 30.3 |
31: Computing the SVD |
31.3 and 31.4 |
Part VI: Iterative methods |
32: Overview of iterative Methods | |
32.1 and 32.2 |
33: The Arnoldi Iteration | |
33.1 and 33.2 |
34: How Arnoldi Locates Eigenvalues | |
34.1 and 34.2 |
35: GMRES | |
35.1 and 35.2 |
36: The Lanczos Iteration | |
36.1 and 36.3 |
37: From Lanczos to Gauss Quadrature | |
37.1 and 37.4 |
38: Conjugate Gradients | |
38.5 and 38.6 |
39: Biorthogonolization Methods | |
39.1 and 39.5 |
40: Preconditioning | |
40.1 and 40.2 |