- SVD
- Eigenvalue decomposition (when to use, when not to?)
- LDU decomposition --relation with-- Schur complement
- QR decomposition. How to calculate?
- Householder Reflection
- SVD. Compute on board/in PC. --relation with-- Eigenvalue decomp.
- What's norm? Why finite dimension, all norms same? Why not infinite dim?
- Gram-Schmidt
- Rank-1 update
- When does matrix have inverse? How to calculate?
- Perturbation theory vs. Eigenvalue problem
- Hermitian, skew-hermitian, positive definite, positive semi-definite
- Why eigenvalues > 0 in positive definite matrix?
- Cholesky factorization
- Similar matrix. Why the same eigenvalue?
- Ax=b. Solve on board, in PC.
- A: Large dense matrix. How to solve Ax=b?
- A: Hermitian matrix. How to solve Ax=b?
- A: Sparse matrix. How to solve Ax=b?
- Tridiagonal matrix A. Det(A)?
- Low rank approximation?
- Jordan block
- Circulent matrix --relation with-- Fourier matrix.