Structure-preserving schur methods for computing square roots of real skew-hamiltonian matrices
The contribution in this paper is two-folded. First, a complete characterization is given of the square roots of a real nonsingular skew-Hamiltonian matrix W. Using the known fact that every real skew-Hamiltonian matrix has infinitely many real Hamiltonian square roots, such square roots are describ...
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| Other Authors: | , , |
| Format: | article |
| Language: | eng |
| Published: |
2012
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1822/20735 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/20735 |
| Summary: | The contribution in this paper is two-folded. First, a complete characterization is given of the square roots of a real nonsingular skew-Hamiltonian matrix W. Using the known fact that every real skew-Hamiltonian matrix has infinitely many real Hamiltonian square roots, such square roots are described. Second, a structure-exploiting method is proposed for computing square roots of W, skew-Hamiltonian and Hamiltonian square roots. Compared to the standard real Schur method, which ignores the structure, this method requires significantly less arithmetic. |
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