Article ID Journal Published Year Pages File Type
5773208 Linear Algebra and its Applications 2017 29 Pages PDF
Abstract
In this paper, for a Hermitian matrix polynomial P(λ) with nonsingular leading coefficient, we describe, in terms of the sign characteristic of P(λ), the sign characteristic of the Hermitian linearizations in the vector space DL(P) (Mackey, Mackey, Mehl and Mehrmann, 2006). In particular, we identify the Hermitian linearizations in DL(P) that preserve the sign characteristic of P(λ). We also provide a description of the sign characteristic of the Hermitian linearizations of P(λ) in the family of generalized Fiedler pencils with repetition (Bueno, Dopico, Furtado and Rychnovsky, 2015).
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, , , ,