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New geometries on positive-definite matrices and their relation to the power means – Bruno Iannazzo (Università degli Studi di Perugia)

We introduce a new family of geometries on the cone of positive definite matricesobtained from the Hessian of the power potential and provide explicit expressionsfor related quantities such as geodesics and distances.This generalizes in some sense…

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Caputo and Riemann-Liouville fractional derivatives: a matrix comparison – Mariarosa Mazza (Università dell’Insubria)

Fractional derivatives are a mathematical tool that receivedmuch attention in the last decades because of their non-local behaviorwhich has been demonstrated to be useful when modeling anomalousdiffusion phenomena appearing, e.g., in imaging or…

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Structure-preserving dynamical model order reduction of parametric Hamiltonian systems – Cecilia Pagliantini (TU Eindhoven)

In real-time and many-query simulations of parametric differential equations, computational methods need to face high computational costs to provide sufficiently accurate and stable numerical solutions. To address this issue, model order reduction…

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Efficient iterative methods for the solution of Generalized Lyapunov Equations: Block vs. point Krylov projections, and other controversial decisions – Daniel Szyld (Temple University)

There has been a flurry of activity in recent years in the area of solution of matrix equations. In par- ticular, a good understanding has been reached on how to approach the solution of large scale Lya- punov equations. An effective way to solve…

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