Published 2019 | Version v1

Algebraic linearizations of matrix polynomials

Description

We show how to construct linearizations of matrix polynomials za(z)d0+c0, a(z)b(z), a(z)+b(z) (when deg(b(z))<deg(a(z))), and za(z)d0b(z)+c0 from linearizations of the component parts, a(z) and b(z). This allows the extension to matrix polynomials of a new companion matrix construction.

Files

1-s2.0-S0024379518305160-main.pdf

Files (451.8 kB)

Name Size Download all
md5:6ff64d243d66cf0c85333c5fa9d5368d
451.8 kB Preview Download