Linear algebra and eigenvalue problems, chapters 6.1-6.5 and 7.1-7.5
- Know Gaussian elimination and LU decomposition (project 1)
- How to solve linear equations (project 1)
- How to obtain the inverse and the determinant of a real symmetric matrix
- Iterative solvers (project 5-diffusion eq)
- Cubic spline
- Tridiagonal matrix decomposition (project 1 and project 5-diffusion)
- Householder's tridiagonalization technique and finding eigenvalues based on this (project 2)
- Jacobi's method for finding eigenvalues (project 2)