On classification of normal matrices in indefinite inner product spaces: the complex case
Please always quote using this URN:urn:nbn:de:0296-matheon-2157
- Canonical forms are developed for several sets of complex matrices that are normal with respect to an indefinite inner product induced by a nonsingular Hermitian, symmetric, or skew-symmetric matrix. The most general result covers the case of polynomially normal matrices, i.e., matrices whose adjoint with respect to the indefinite inner product is a polynomial of the original matrix. From this result, canonical forms for matrices that are selfadjoint, skewadjoint, or unitary with respect to the given indefinite inner product are derived.
| Author: | Christian Mehl |
|---|---|
| URN: | urn:nbn:de:0296-matheon-2157 |
| Referee: | Volker Mehrmann |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2005/01/25 |
| Release Date: | 2005/01/24 |
| Institute: | Technische Universität Berlin |
| Preprint Number: | 206 |
