Paper Info
Title
The second order spectrum and optimal convergence.
Abstract
The method of second order relative spectra has been shown to reliably approximate the discrete spectrum for a self-adjoint operator. We extend the method to normal operators and find optimal convergence rates for eigenvalues and eigenspaces. The convergence to eigenspaces is new, while the convergence rate for eigenvalues improves on the previous estimate by an order of magnitude.
Year
DOI
Venue
2013
10.1090/S0025-5718-2013-02693-2
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
Spectral pollution,second order relative spectrum,convergence to eigenvalues,convergence to eigenvectors,projection methods,finite-section method
Convergence (routing),Weak convergence,Mathematical optimization,Normal convergence,Mathematical analysis,Compact convergence,Convergence tests,Rate of convergence,Eigenvalues and eigenvectors,Mathematics,Modes of convergence
Journal
Volume
Issue
ISSN
82
284
0025-5718
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
Michael Strauß100.68