Title

Linearizations of matrix polynomials in Newton bases

Document Type

Article

Date of Original Version

11-1-2018

Abstract

We discuss matrix polynomials expressed in a Newton basis, and the associated polynomial eigenvalue problems. Properties of the generalized ansatz spaces associated with such polynomials are proved directly by utilizing a novel representation of pencils in these spaces. Also, we show how the family of Fiedler pencils can be adapted to matrix polynomials expressed in a Newton basis. These new Newton–Fiedler pencils are shown to be strong linearizations, and some computational aspects related to them are discussed.

Publication Title

Linear Algebra and Its Applications

Volume

556

Share

COinS