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Small Rank Perturbations of H-Expansive Matrices

  • G. J. Groenewald,
  • D. B. Janse van Rensburg,
  • A. C. M. Ran

摘要

In this paper small rank perturbations of H-expansive and H-unitary matrices are explored. Particular attention is given to the location of eigenvalues with respect to the unit circle for these classes of matrices. The canonical form (in the H-unitary case) and the simple form (in the H-expansive case) for the pair \((A,H)\) will be the starting point.