Norm estimates for function Lyapunov equations and applications

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the function Lyapunov equation f*(A)X+Xf(A)=C, where A and C are given matrices, f(z) is a function holomorphic on a neighborhood of the spectrum σ(A) of A. For a solution X of that equation, norm estimates are established. By these estimates we investigate perturbations of a matrix A whose spectrum satisfies the condition infℜσ(f(A))>0. In the case f(z)=zν with a positive integer ν we obtain conditions that provide localization of the spectrum of a perturbed matrix in a given angle.

Original languageEnglish
Pages (from-to)4241-4247
Number of pages7
JournalJournal of the Franklin Institute
Volume355
Issue number10
DOIs
StatePublished - 1 Jul 2018

Fingerprint

Dive into the research topics of 'Norm estimates for function Lyapunov equations and applications'. Together they form a unique fingerprint.

Cite this