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Perturbation theory in a finite-dimensional space

Chapter
Part of the Classics in Mathematics book series (volume 132)

Abstract

In this chapter we consider perturbation theory for linear operators in a finitedimensional 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 Branch Point Transformation Function Symmetric Operator Perturbation Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  1. 1.University of CaliforniaBerkeleyUSA

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