84 citations · 244 across the 10 of their papers we have counts for
3 papers · 2 filters
The contractivity of cone-preserving multilinear mappings
Antoine Gautier, Francesco Tudisco
With the notion of mode- Birkhoff contraction ratio, we prove a multilinear version of the Birkhoff-Hopf and the Perron-Fronenius theorems, which provide conditions on the exist…
The Perron-Frobenius theorem for multi-homogeneous mappings
Antoine Gautier, Francesco Tudisco, Matthias Hein
The Perron-Frobenius theory for nonnegative matrices has been generalized to order-preserving homogeneous mappings on a cone and more recently to nonnegative multilinear forms. We…
A unifying Perron-Frobenius theorem for nonnegative tensors via multi-homogeneous maps
Antoine Gautier, Francesco Tudisco, Matthias Hein
We introduce the concept of shape partition of a tensor and formulate a general tensor eigenvalue problem that includes all previously studied eigenvalue problems as special cases.…