Title
Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions
Abstract
We present perturbation estimates for eigenvalue and eigenvector approximations for a class of Fredholm operator-valued functions. Our approach is based on perturbation estimates for the generalized resolvents and the exponential convergence of the contour integration by the trapezoidal rule. We use discrete residual functions to estimate the resolvents a posteriori. Numerical experiments are also presented.
Year
DOI
Venue
2015
10.1016/j.amc.2015.01.010
Applied Mathematics and Computation
Keywords
Field
DocType
Nonlinear eigenvalue problems,Numerical methods,Contour integrals
Fredholm operator,Residual,Mathematical optimization,Mathematical analysis,Methods of contour integration,A priori and a posteriori,Trapezoidal rule,Numerical analysis,Mathematics,Perturbation (astronomy),Eigenvalues and eigenvectors
Journal
Volume
Issue
ISSN
267
C
0096-3003
Citations 
PageRank 
References 
0
0.34
5
Authors
2
Name
Order
Citations
PageRank
luka grubisic132.80
Antonia Grbic200.34