Abstract | ||
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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 |
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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 Wang | 1 | 0 | 1.35 |
Chuntao Liu | 2 | 0 | 0.34 |
Yuanjun Li | 3 | 1 | 0.69 |