A pseudospectral mapping theorem
Mathematics of Computation
The quadratic eigenvalue problem in electric power systems
Automation and Remote Control
An improved grid method for the computation of the pseudospectra of matrix polynomials
Mathematical and Computer Modelling: An International Journal
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Analysis of nonsymmetric matrix iterations based on eigenvalues can be misleading. In this paper, we discuss sixteen theorems involving ${{\varepsilon}}\def\Lam{\Lambda}\def\lam{\lambda}$-pseudospectra that each generalize a familiar eigenvalue theorem and may provide more descriptive information in some cases. Our organizing principle is that each pseudospectral theorem reduces precisely to the corresponding eigenvalue theorem when ${{\varepsilon}}\def\Lam{\Lambda}\def\lam{\lambda}=0$.