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math.AG2025
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…
math.AG2025
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…