Retracing the residual curve of a Lyapunov equation solver |
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Authors: | Carl Christian Kjelgaard Mikkelsen |
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Institution: | 1.Department of Computing Science and HPC2N,Ume? University,Ume?,Sweden |
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Abstract: | Let A∈ℝ
n×n
and let B∈ℝ
n×p
and consider the Lyapunov matrix equation AX+XA
T
+BB
T
=0. If A+A
T
<0, then the extended Krylov subspace method (EKSM) can be used to compute a sequence of low rank approximations of X. In this paper we show how to construct a symmetric negative definite matrix A and a column vector B, for which the EKSM generates a predetermined residual curve. |
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Keywords: | |
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