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Fiedler Companion Linearizations and the Recovery of Minimal Indices

Fiedler Companion Linearizations and the Recovery of Minimal Indices

A standard way of dealing with a matrix polynomial $P(\lambda)$ is to convert it into an equivalent matrix pencil—a process known as linearization. For any regular matrix polynomial, a new family of linearizations generalizing the classical first and second Frobenius companion forms has recently been introduced by Antoniou and Vologiannidis, …