Is there any good book I could use as a workbook for following topics (or covers some of them):
- Gaussian method of elimination
- LU factorization with GME
- Doolittle's and Kraut's method
- Factorization of Cholesky
- GME with partial pivoting
- Gauss - Jordan's method for solving system Ax = b
- Condition number of a system
- Conditions for convergence of iterative methods
- Jacoby's method
- Gauss - Seidel's method
- Gerschgorin's sets and theorem
- Power method and inversive power method for eigenvalues
- QR factorization for eigenvalues
- Method of normal equations
Thank you in advance.
It turns out that "Numerical linear algebra" by Trefethen and Bau has all of it covered, both explained and for work.