HELMKE, U and MOORE, JB (1992) SINGULAR-VALUE DECOMPOSITION VIA GRADIENT AND SELF-EQUIVALENT FLOWS. LINEAR ALGEBRA AND ITS APPLICATIONS, 169. pp. 223-248. ISSN 0024-3795,
Full text not available from this repository.Abstract
The task of finding the singular-value decomposition (SVD) of a finite-dimensional complex linear operator is here addressed via gradient flows evolving on groups of complex unitary matrices and associated self-equivalent flows. The work constitutes a generalization of that of Brockett on the diagonalization of real symmetric matrices via gradient flows on orthogonal matrices and associated isospectral flows. It complements results of Symes, Chu, and other authors on continuous analogs of the classical QR algorithm as well as earlier work by the authors on SVD via gradient flows on positive definite matrices.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QR ALGORITHM; TODA LATTICE; EQUATIONS; |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/54559 |
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