On perturbations of matrix pencils with real spectra. II

  title={On perturbations of matrix pencils with real spectra. II},
  author={Rajendra Bhatia and Ren-Cang Li},
  journal={Math. Comput.},
This paper continues earlier studies by Bhatia and Li on eigenvalue perturbation theory for diagonalizable matrix pencils having real spectra. A unifying framework for creating crucial perturbation equations is developed. With the help of a recent result on generalized commutators involving unitary matrices, new and much sharper bounds are obtained. 

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