A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory

  • Ren-Cang Li
  • Published 2000 in SIAM J. Matrix Analysis Applications


Assuming only that the spectra of A and B are disjoint as opposed to the more restrictive assumption previously used, we obtain a bound in all unitarily invariant norms on the solution to the structured Sylvester equation AX − XB = A1/2EB1/2. This bound is the first of its kind in all unitarily invariant norms under only the disjointedness assumption. An… (More)
DOI: 10.1137/S0895479898349586


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