Re: GSOC16 - Improve iterative methods for sparse linear systems

[Marco Caliari]

On Tue, 8 Mar 2016, Cris wrote:

> Dear all,
> I'm Cristiano Dorigo, a 2-nd year student of the Master Degree in Mathematics 
> of the University of Verona, Italy.
> I'm interested in partecipating at the GSOC 2016 to work at the project 
> "Improve iterative methods for sparse linear systems".
>
> I have a good knowledge of Octave and Matlab built during the Bachelor in 
> Applied Mathematics through some exams (Numerical Analysis, Numerical Methods 
> for Differential Equations, Fluid Dynamics) and also during the Master 
> Degree. In particular I followed a course on Spline theory and another on the 
> Finite Elements Method with a part fully reserved to iterative methods for 
> sparse linear systems.
> I also know the Java code language from the Computer Programming course at 
> the Bachelor.
>
> I'm interested in this project because during my Bachelor Thesis I studied 
> the Krylov subspaces, the Arnoldi Method and the GMRES algorithm. In 
> particular I implemented (using Octave) the GMRES algorithm using the 
> Householder orthogonalization instead of the Gram-Schmidt one and studied the 
> quality of the solutions with the GMRES with these different 
> orthogonalizations. I think that with this project I can study in deep the 
> topics that I already faced in the Thesis and I can study other algorithms 
> close to the GMRES, in such a way to improve my general knowlegde about 
> sparse linear systems algorithms.
>
> Don't hesitate to ask anything if there are questions about my student career 
> or about my thesis.

Dear Cristiano,

so you already implemented from scratch a function like gmres. Therefore, 
you may have a rough idea of the required effort for the project. Can you 
make a more detailed scheduling of the work, in case the project is 
accepted? Please take honestly into account also your examination session, 
if any.

Cheers,

Marco