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Section: Software

PPAT: pseudo-spectrum

Participants : Édouard Canot [corresponding author] , Bernard Philippe.

PPAT (Parallel PATh following software) is a parallel code, developed by D. Mezher, W. Najem (University of Saint-Joseph, Beirut, Lebanon) and B. Philippe. This tool can follow the contours of a functional from Im4 $\#8450 $ to Im5 $\#8477 ^+$ . The present version is adapted for determining the level curves of the function f(z) = $ \sigma$min(A-zI) which gives the pseudospectrum of matrix A .

The algorithm is reliable: it does not assume that the curve has a derivative everywhere. The process is proved to terminate even when taking into account roundoff errors. The structure of the code spawns many independent tasks which provide a good efficiency in the parallel runs.

The software can be downloaded under the GPL licence from: http://sourceforge.net/projects/ppat .


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