The Projection Methods For Computing The Pseudospectra Of Large Scale Matrices
Zhengsheng Wang, Xiangyong Ji, Yong Du · Zenodo (CERN European Organization for Nuclear Research) · 2010
The projection methods, usually viewed as the methods for computing eigenvalues, can also be used to estimate pseudospectra. This paper proposes a kind of projection methods for computing the pseudospectra of large scale matrices, including orthogonalization projection method and oblique projection method respectively. This possibility may be of practical importance in applications involving large scale highly nonnormal matrices. Numerical algorithms are given and some numerical experiments illustrate the efficiency of the new algorithms.