234 citations · 352 across the 8 of their papers we have counts for
3 papers · 2 filters
Discrete max-plus spectral theory
Marianne Akian, Stephane Gaubert, Cormac Walsh
We develop a max-plus spectral theory for infinite matrices. We introduce recurrence and tightness conditions, under which many results of the finite dimensional theory, concerning…
Perturbation of eigenvalues of matrix pencils and optimal assignment problem
Marianne Akian, Ravindra Bapat, Stephane Gaubert
We consider a matrix pencil whose coefficients depend on a positive parameter , and have asymptotic equivalents of the form when goes to zero, where the leading coeff…
Min-plus methods in eigenvalue perturbation theory and generalised Lidskii-Vishik-Ljusternik theorem
Marianne Akian, Ravindra Bapat, Stephane Gaubert
We extend the perturbation theory of Vishik, Ljusternik and Lidskii for eigenvalues of matrices, using methods of min-plus algebra. We show that the asymptotics of the eigenvalues…