Hi Philippe,

 > I completely agree, concerning matrix-free implementations of the linear
> solver.
>
> Their absence is the very reason why I had to reimplement solvers for
> UMinTL.

I assume you are aware that you can overload viennacl::linalg::prod() 
for whatever custom 'matrix' type you pass to solve()?


> Furthermore, some other fancy stopping criterions may be
> provided. For example, some algorithms in unconstrained optimization use
> CG on an indefinite matrix, and abort the solver once p^TAp < 0. There
> are also some probabilistic stopping criterions for CG when the
> matrix-free implementation is an estimator of the true matrix-vector
> product. In the end, the CG I ended up with for UMinTL is pretty big and
> flexible, and I think it would be a good thing to have the same thing
> within ViennaCL.

The monitoring capabilities for the iterative solvers in ViennaCL are 
indeed poor, not providing any feedback to the outside about the current 
residual and/or custom stopping criteria, convergence reasons, etc. 
Improving this is desirable, among many other things to do as well. 
Again a matter of priorities... ;-)

Best regards,
Karli


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