Hi.
If you want libraries to be called from your programs (C or Fortran), go ahead 
with Lapack or Petsc. They are the result of longstanding efforts of the 
numerical analysis community. They both seem to be available in stable, 
although I never used myself the versins packaged by debian.

The latter includes a interface to the lapack libraries, but works at a higher 
level of abstraction, providing a very complete toolkit for scientific 
computations on serial and parallel computers. (Beware that the calling 
sequence of many PETSC routines has changed in version 2.3.0, so if this is a 
long term enterprise, consider carefully whether to install the package from 
testing)

On the other hand Lapack should give you all you need and is somewhat better 
documented and more stable.

Best regards,
 Matteo




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