Perturbation analysis for the complex matrix equation Q ± AHXpA - X = 0
Journal Title: Surveys in Mathematics and its Applications - Year 2007, Vol 2, Issue 0
Abstract
We study the sensitivity of the solution of a general type matrix equation Q ± A<sup>H</sup>X<sup>p</sup>A - X = 0. Local and nonlocal perturbation bounds are derived. The results are obtained using the technique of Lyapunov majorants and fixed point principles. A numerical example is given.
Authors and Affiliations
Juliana Boneva, Mihail Konstantinov
Keywords
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Perturbation analysis for the complex matrix equation Q ± AHXpA - X = 0
We study the sensitivity of the solution of a general type matrix equation Q ± A<sup>H</sup>X<sup>p</sup>A - X = 0. Local and nonlocal perturbation bounds are derived. The results are obtained usi...
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