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Re: More linear algebra...

 

On Mon, Aug 14, 2006 at 02:42:15PM +0200, Anders Logg wrote:
> 3. Are all the functions in GenericMatrix/Vector necessary? Could some
> be removed? Also, there are plenty of functions in PETScMatrix/Vector
> and uBlasMatrix/Vector that are not in GenericMatrix/Vector. Should we
> make sure that the interface stays the same for all linear algebra
> types so for example only GenericMatrix functions are present in the
> public interface of PETScMatrix?

I've been thinking a bit about this, but I haven't found a clear
solution. The problem with using the Generic* interface is that it can
only support unary operations (i.e. indexing, assembling, ...). If we
define a binary operation, then we allow cases like adding an
uBlasVector to a PETScVector, and we don't have that semantic.

What we should do is define a simple interface for binary operations,
and then manually enforce that in uBlasVector/Matrix and
PETScVector/Matrix. And strip away essentially everything else.

I guess not much more than the standard vector space operations are
needed, i.e. multiply by scalar, addition, dot product. But it's
important that we standardize that. Then if you need something more
exotic, you use the PETSc/uBlas interfaces.

> 
> 4. Indexing in a PETSc matrix does not work as expected:
> 
>   >>> from dolfin import *
>   >>> A = Matrix(10, 10)
>   >>> print A[(5,5)]
>   [0]PETSC ERROR: MatGetValues() line 1324 in src/mat/interface/matrix.c
>   [0]PETSC ERROR: Object is in wrong state!
>   [0]PETSC ERROR: Not for unassembled matrix!
>   1.27319747458e-313
> 
> The natural would be for this to return zero.
> 
> /Anders

This is just because a PETSc matrix is not assembled by default. If you do:

>>> from dolfin import *
Importing DOLFIN
>>> A = Matrix(10, 10)
Initializing PETSc (ignoring command-line arguments).
>>> A.apply()
>>> A[5, 5]
0.0

then it works as expected. We should just add apply() in the
constructor.

  Johan


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