Re: Re:Query for project on improving matrix functions

[Jordi Gutiérrez Hermoso]

On Mon, 2015-03-16 at 17:52 +0530, Mudit Sharma wrote:
> Does this project involve improving these functions by creating some
> generic functions accepting the logm,sqrtm and funm AND a square
> matrix as inputs..then performing its function of factorization.?
> Also apply the new function to the eigenvalues of the matrix.

No, the project is much more than an eigenvalue factorisation of a
matrix and applying the function to the diagonal of this
factorisation.

What you describe is trivial. It is merely this:

    [V, D] = eig (A);
    D = f (D);
    out = V*D/V;

Indeed, this is almost the actual implementation we have right now:

    
http://sourceforge.net/p/octave/linear-algebra/ci/default/tree/inst/funm.m#l84

Instead, the project is about reading a number of papers by Nicholas
Higham et al in order to understand the algorithms he and his team
developed for analytic functions of a matrix.

- Jordi G. H.