Perturbation theory in a finite-dimensional space

Tosio Kato
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Tosio Kato: University of California, Department of Mathematics

Chapter Chapter Two in A Short Introduction to Perturbation Theory for Linear Operators, 1982, pp 72-148 from Springer

Abstract: Abstract In this chapter we consider perturbation theory for linear operators in a finite-dimensional space. The main question is how the eigenvalues and eigenvectors (or eigenprojections) change with the operator, in particular when the operator depends on a parameter analytically. This is a special case of a more general and more interesting problem in which the operator acts in an infinite-dimensional space.

Keywords: Perturbation Theory; Holomorphic Function; Branch Point; Transformation Function; Symmetric Operator (search for similar items in EconPapers)
Date: 1982
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DOI: 10.1007/978-1-4612-5700-4_2

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