Inhaltsangabe
Excerpt from Stable Perturbations of Nonsymmetric Matrices
We note that the puiseux-newton diagram has been used in a related context, namely the stability of methods for solving ordinary differential equations; see However, that work has a very different emphasis, not being concerned with multiple eigenvalues but instead with second-order eflects of the perturbation of simple eigen values.
All the results have a straightforward extension to the case of reducing the spectral radius of a matrix with multiple eigenvalues. This case is relevant, for example, when the definition of matrix stability requires the magnitude of the eigenvalues to be less than one. This situation typically arises in practice when studying the solution of difference equations rather than differential equations.
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