Parallel Computation of Spectral Portraits on the Meiko CS2
Parallel Computation of Spectral Portraits
on the Meiko CS2
Valérie Frayssé, Luc Giraud
CERFACS, 42 avenue G. Coriolis, 31057 Toulouse Cedex, France,
e-mail: firstname.lastname@example.org, email@example.com,
ERIN-ESSTIN, Nancy and CERFACS, France,
Published in High-Performance Computing and Networking, H.
Liddell and A. Colbrook and B. Hertzberger and P. Sloot, eds., vol 1067,
We describe a parallel software tool intended for the quantification of the
sensitivity of eigenvalues to matrix perturbations of varying size:
the spectral portrait shows a representation of the normwise
-pseudospectra of a matrix A.
This requires to compute for all
z in a discretized region of the complex plane.
The method used for computing has to
be reliable and optimized in terms of both the computation time
and the storage requirements in order to treat large sparse matrices.
The main features of the code are described.
Different parallel computation strategies are compared in terms of speed-up.
We will show an application on the analysis of an iterative scheme used
for the solution of an electromagnetism problem.
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