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A Fast Algorithm for Computing Pseudospectra of Companion Matrices

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42-45

REFERENCES

References: 

[1] L.N.Trefethen. Spectra and pseudospectra: The behavior of nonnormal
matrices and operator. Princeton University Press, 2005, Princeton.
[2] L.N.Trefethen. Pseudospectra of linear operators. SIAM Review,
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[3] L.N.Trefethen. Computation of pseudospectra. Acta Numerica ,1999,
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[4] T.G.Wright,L.N.Trefethen. Large-scale computation of pseudospectra
using ARPACK and eigs, SIAM J.Sci. Comput., 2001, 23(2):591-605.
[5] K.C.Toh, and L.N.Trefethen, Calculation of pseudospectra by the
Arnoldi iteration, SIAM J.Sci. Comput., 1996, 17(1):1-15.
[6] T.Braconnier, and N.J.Higham, Computing the field of values and
pseudospectra using the Lanczos method with continuation, BIT,
1996,36(3):422-440.
[7] M.Bruhl. A curve tracing algorthim for computing the
pseudospectrum.BIT, 1996, 36(3):441-454.
[8] Y. Shen, J. Zhao, H. Fan. Properties and computations of matrix
pseudospectra.Applied mathematics and Computation, 2005, 161: 385-393.

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