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, e.g., Journal
Linear Algebra and Its Applications
Volume
556
Citation/Publisher Attribution
Perović, Vasilije, and D. Steven Mackey. "Linearizations of matrix polynomials in Newton bases." Linear Algebra and Its Applications 556, (2018): 1-45. doi: 10.1016/j.laa.2018.06.030.