I'm having a course about 'Numerical Analysis and computational' in my master's. The course is about :
Systems of Linear Equations: direct methods (LU factorization and Cholesky decomposition), iterative methods (Jacobi and Gauss-Seidel).
Eigenvalues: localization, power method and deflation, Householder triangularization, tridiagonal matrices, SVD.
QR factorization and least squares. Conditioning.
I need to do a report about some topic of the content, specifically a method solving a system of equations involving specific matrices (hilbert, cholesky , etc.. )(Example: Cholesky's Method - Resolving Normal Equation Systems)
My question is : Can someone recommend me a topic to talk about. For example some physics problems that involve this type of matter?
Something that has material enough to do a report and so I get some matlab work on it.