μ-Values and Spectral Value Sets for Linear Perturbation Classes Defined by a Scalar Product

نویسنده

  • Michael Karow
چکیده

We study the variation of the spectrum of matrices under perturbations which are selfor skew-adjoint with respect to a scalar product. Computable formulae are given for the associated μ-values. The results can be used to calculate spectral value sets for the perturbation classes under consideration. We discuss the special case of complex Hamiltonian perturbations of a Hamiltonian matrix in detail.

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عنوان ژورنال:
  • SIAM J. Matrix Analysis Applications

دوره 32  شماره 

صفحات  -

تاریخ انتشار 2011