2 citations · 3 across the 6 of their papers we have counts for
5 papers · 1 filter
Nash Loci
Luca Sodomaco, Julian Weigert
In the study of Nash equilibria of finite-player games, one often seeks equilibria that are compatible with predetermined constraints, either determined by the players or by an ext…
Nonlinear Kalman varieties
Flavio Salizzoni, Luca Sodomaco, Julian Weigert
We study the locus of square matrices having at least one eigenvector on a prescribed algebraic variety . When is a linear subspace, this data locus is known as the Kalman v…
Nonlinear Rayleigh quotient optimization
Flavio Salizzoni, Luca Sodomaco, Julian Weigert
Rayleigh quotient minimization deals with optimizing a quadratic homogeneous function over a sphere. Its critical points correspond to the normalized eigenvectors of the symmetric…
Algebraic degree of optimization over a variety with an application to -norm distance degree
Kaie Kubjas, Olga Kuznetsova, Luca Sodomaco
We study an optimization problem with the feasible set being a real algebraic variety and whose parametric objective function is gradient-solvable with respect to the par…
Exact solutions in low-rank approximation with zeros
Kaie Kubjas, Luca Sodomaco, Elias Tsigaridas
Low-rank approximation with zeros aims to find a matrix of fixed rank and with a fixed zero pattern that minimizes the Euclidean distance to a given data matrix. We study the criti…