Miryam Gnazzo

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20232026

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math.NA2023

On the numerical approximation of the distance to singularity for matrix-valued functions

Miryam Gnazzo, Nicola Guglielmi

Given a matrix-valued function $F (λ) = \sum_{i = 1}^{d} f_{i} (λ) A_{i}$ , with complex matrices $A_{i}$ and $f_{i} (λ)$ entire functions for $i = 1, \dots, d$ , we discuss a method for the n…

math.NA2023

Approximating the closest structured singular matrix polynomial

Miryam Gnazzo, Nicola Guglielmi

Consider a matrix polynomial $P (λ) = A_{0} + λ A_{1} + \dots + λ^{d} A_{d}$ , with $A_{0}, \dots, A_{d}$ complex (or real) matrices with a certain structure. In this paper we discus…