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Message #02252
Re: Dense matrices
On Wed, Mar 29, 2006 at 12:22:18PM +0200, Garth N. Wells wrote:
> I'd like to resurrect some functionality for dealing with small dense
> matrices (addition, multiplication, eigenvalues, inverse, etc.).
> Versions of DOLFIN prior to the transition to PETSc had some of this.
Because PETSc does not handle this efficiently?
> I'm open to suggestions as to the best data structure for this. The code
> in /src/kerenel/common/dolfin/Tensor.h could provide the underlying data
> structure, although perhaps this code needs to be readdressed. I 'm
> thinking we could
>
> 1. Keep Tensor.h as it is.
>
> 2. Derive Tensor.h from src/kernel/common/dolfin/Array.h, which in turn
> is based on std::vector.
>
> 3. Make Tensor.h (and perhaps Array.h also) a wrapper for another
> library that handles multi-dimensional arrays (for this Blitz++ looks
> nice, http://www.oonumerics.org/blitz/, and there is also
> http://www.boost.org/libs/multi_array/doc/index.html). Any suggestions?
>
> Garth
I'm not sure we should use Tensor or Array for this. They may have
similarities in data structures (you can access entries in various
positions) but I don't think they should have operations like inverse
or eigenvalues.
If we need a dense matrix and PETSc is not enough, I think the most
natural would be to create a class DenseMatrix that could wrap Blitz++
or something else.
/Anders
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