Abstract
AbstractWe investigate the solution of the Lyapunov equation with the matrix sign function method. In order to obtain the factorized solution we use a partitioned Newton iteration, where one part of the iteration uses formatted arithmetic for the hierarchical matrix format while the other part converges to an approximate full‐rank factor of the solution. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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