In this paper, a new set of higher order rational fixed point functions for computing the matrix sign function of complex matrices has been developed. Our main focus is the representation of these rational functions in partial fraction form which in turn allows for a parallel implementation of the matrix sign function algorithms. The matrix sign function is then used to compute the positive semidefinite solution of the algebraic Riccati and Lyapunov matrix equations. It is also suggested that the proposed methods can be used to compute the invariant subspaces of a non-singular matrix in any half plane. The performance of these methods is demonstrated by several examples.
|Original language||English (US)|
|Number of pages||5|
|Journal||Proceedings of the American Control Conference|
|State||Published - Dec 1 1999|
|Event||Proceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA|
Duration: Jun 2 1999 → Jun 4 1999