Title
A fast algorithm for computing the pseudospectra of Toeplitz matrices.
Abstract
The concept of pseudospectra was introduced by Trefethen during the 1990s and became a popular tool to explain the behavior of non-normal matrices. In this paper, we propose a fast algorithm for computing the pseudospectra of Toeplitz matrices by using fast Toeplitz QR factorization. Numerical experiments are given to illustrate the efficiency of the new algorithm.
Year
DOI
Venue
2013
10.1016/j.aml.2012.08.008
Applied Mathematics Letters
Keywords
Field
DocType
Pseudospectra,Toeplitz matrices,QR factorization,SVD,Lanczos iteration
Singular value decomposition,Mathematical optimization,Algebra,Matrix (mathematics),Algorithm,Toeplitz matrix,Mathematics,QR decomposition
Journal
Volume
Issue
ISSN
26
2
0893-9659
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Zhengsheng Wang101.35
Chuntao Liu200.34
Yuanjun Li310.69