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Publication
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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.
Philip Johannes Walter Moll, Yi-Chiang Sun, Chunyu Guo
Sara Bonella, Alessandro Coretti
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