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Computing a canonical form of a matrix pencil

  • Received: 27 December 2023 Revised: 09 March 2024 Accepted: 13 March 2024 Published: 19 March 2024
  • MSC : 15A21, 15A22, 65F15

  • 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.

    Citation: Miloud Sadkane, Roger Sidje. Computing a canonical form of a matrix pencil[J]. AIMS Mathematics, 2024, 9(5): 10882-10892. doi: 10.3934/math.2024531

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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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