16 citations · 48 across the 45 of their papers we have counts for
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A Riemannian optimization method to compute the nearest singular pencil
Froilán Dopico, Vanni Noferini, Lauri Nyman
Given a square pencil , where and are complex (resp. real) matrices, we consider the problem of finding the singular complex (resp. real) pencil nearest…
Generating functions of non-backtracking walks on weighted digraphs: radius of convergence and Ihara's theorem
Vanni Noferini, María C. Quintana
It is known that the generating function associated with the enumeration of non-backtracking walks on finite graphs is a rational matrix-valued function of the parameter; such func…
Computing a compact local Smith McMillan form
Vanni Noferini, Paul Van Dooren
We define a compact local Smith-McMillan form of a rational matrix as the diagonal matrix whose diagonal elements are the nonzero entries of a local Smith-McMillan form of $…
Invertible bases and root vectors for analytic matrix-valued functions
Vanni Noferini
We revisit the concept of a minimal basis through the lens of the theory of modules over a commutative ring . We first review the conditions for the existence of a basis for sub…