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.

  • $\begingroup$ Look into optimization. Specifically, linear programming. Very useful for efficient optimization $\endgroup$ – EDZ Feb 21 '18 at 16:50

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