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PhD Thesis

Scaling Algorithms and Tropical Methods in Numerical Matrix Analysis: Application to the Optimal Assignment Problem and to the Accurate Computation of Eigenvalues, Centre de Mathematique Appliqué, Ecole Polytechnique & INRIA Saclay, France (Dec. 2007- Sep. 2011) (pdf)  Supervisor: Stéphane Gaubert.

 

Software

I have developed a MATLAB code which computes the eigenvalues of a matrix polynomial by using "Tropical scaling". More details can be found in Tropical scaling of polynomial matrices . To download the code click here.