Parallel Computation of Spectral Portraits on the Meiko CS2


next up previous
Next: Introduction

Parallel Computation of Spectral Portraits
on the Meiko CS2

Valérie Frayssé, Luc Giraud

CERFACS, 42 avenue G. Coriolis, 31057 Toulouse Cedex, France,
e-mail: fraysse@cerfacs.fr, giraud@cerfacs.fr,

and

Vincent Toumazou

ERIN-ESSTIN, Nancy and CERFACS, France,
e-mail: toumazou@cerfacs.fr


Published in High-Performance Computing and Networking, H. Liddell and A. Colbrook and B. Hertzberger and P. Sloot, eds., vol 1067, Springer-Verlag, 312-318.


Abstract:

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.




<- Back to homepage for spectral portraits ?

Contact: toumazou@cerfacs.fr
Last Update: