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Computing a canonical form of a matrix pencil
AIMS Mathematics 2024, 9(5): 10882-10892
Published: 15 May 2024
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Using the spectral projection onto the deflating subspace of a regular matrix pencil corresponding to the eigenvalues inside a specified region of the complex plane, we proposed a new method to compute a corresponding canonical form. The study included a perturbation analysis of the method as well as examples to illustrate its numerical and theoretical merits.

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