From nonnegative matrices to nonnegative tensors

Published: Oct. 16, 2011, 11 p.m.

Speaker:\n\nProf. S. Friedland\n\n\nAbstract:\n\nIn this talk we will discuss a number of generalizations of results on nonnegative matrices to nonnegative tensors as: irreducibility and weak irreducibility, Perron-Frobenius theorem, Collatz-Wielandt characterization, Kingman's inequality, Karlin-Ost and Friedland theorems, tropical spectral radius, diagonal scaling, Friedland-Karlin inequality, nonnegative multilinear forms.