Perturbation bounds for isotropic invariant subspaces of skew-Hamiltonian matrices

We investigate the behavior of isotropic invariant subspaces of skew-Hamiltonian matrices under structured perturbations. It is shown that finding a nearby subspace is equivalent to solving a certain quadratic matrix equation. This connection is used to derive meaningful error bounds and condition numbers that can be used to judge the quality of invariant subspaces computed by strongly backward stable eigensolvers.


Published in:
SIAM Journal On Matrix Analysis And Applications, 26, 4, 947-961
Year:
2005
Publisher:
Society for Industrial and Applied Mathematics
ISSN:
0895-4798
Keywords:
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 Record created 2011-05-05, last modified 2018-01-28

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