On pseudospectra of matrix polynomials and their boundaries

@article{Boulton2008OnPO,
  title={On pseudospectra of matrix polynomials and their boundaries},
  author={Lyonell Boulton and Peter Lancaster and Panayiotis Psarrakos},
  journal={Math. Comput.},
  year={2008},
  volume={77},
  pages={313-334}
}
In the first part of this paper (Sections 2–4), the main concern is with the boundary of the pseudospectrum of a matrix polynomial and, particularly, with smoothness properties of the boundary. In the second part (Sections 5–6), results are obtained concerning the number of connected components of pseudospectra, as well as results concerning matrix polynomials with multiple eigenvalues, or the proximity to such polynomials. 

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On Stable Eigendecompositions of Matrices

SIAM J. Matrix Analysis Applications • 2005

Spectral enclosures and complex resonances for general self - adjoint operators

E. B. Davies
LMS J . Comput . Math . • 1998

Spectral enclosures and complex resonances for general self-adjoint operators, LMS

E. B. Davies
J. Comput. Math., • 1998

A note on simple non-zero singular values

J.-G. Sun
J. Comput. Math., • 1988

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