HELMKE, U (1991) ISOSPECTRAL FLOWS ON SYMMETRICAL MATRICES AND THE RICCATI EQUATION. SYSTEMS & CONTROL LETTERS, 16 (3). pp. 159-165. ISSN 0167-6911,
Full text not available from this repository.Abstract
Brockett has studied the ordinary differential equation H = [H, [H, N]], with [A, B] = AB - BA, evolving on the space of symmetric matrices. The flow asymptotically diagonalizes symmetric matrices and generalizes the Toda flow. We show that Brockett's flow can be interpreted as a flow on a flag manifold. In a special case the flow is shown to be equivalent to a Riccati equation.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EIGENVALUE; ISOSPECTRAL FLOWS; TODA FLOW; SYMMETRICAL MATRICES; FLAG MANIFOLD; RICCATI EQUATION |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:46 |
| URI: | https://pred.uni-regensburg.de/id/eprint/55073 |
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