On condition numbers of the spectral projections associated with periodic eigenproblems

https://doi.org/10.1016/j.cam.2013.06.019Get rights and content
Under an Elsevier user license
open archive

Abstract

In this paper, we study and analyze absolute and relative condition numbers of the spectral projections for regular periodic eigenproblems. The main contribution is to derive explicit expressions of the condition numbers of the j-th left and right spectral projections. Numerical examples are given to illustrate the proposed condition numbers for the spectral projections associated with periodic eigenproblems.

MSC

15A18
65F15

Keywords

Spectral projection
Periodic eigenproblem
Condition numbers
First order perturbation bound

Cited by (0)