The Dynamics of Eigenvalue Computation

Steve Batterson

Chapter 35 in From Topology to Computation: Proceedings of the Smalefest, 1993, pp 368-386 from Springer

Abstract: Abstract In recent years, there has been a great deal of interdisciplinary work between numerical analysis and dynamical systems. The theme of this chapter is that techniques from dynamical systems can be applied to the study of certain problems in numerical analysis. We will focus on the particular numerical analysis problem of approximating the eigenvalues of a real matrix. The discussion is from the point of view of dynamical systems and assumes a basic knowledge of dynamical systems [D2] and general topology [M]. A substantial portion of the chapter consists of motivating and defining the relevant numerical algorithms and no background in numerical analysis is required.

Keywords: Canonical Form; Invariant Subspace; Characteristic Polynomial; Normal Matrice; Hessenberg Matrix (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1007/978-1-4612-2740-3_35

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