A Method for Computing the Distance of a Stable Matrix to the Set of Unstable Matrices.
| dc.contributor.author | Fan, Michael K-H. | en_US |
| dc.contributor.author | Tsing, N.K. | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T09:43:21Z | |
| dc.date.available | 2007-05-23T09:43:21Z | |
| dc.date.issued | 1989 | en_US |
| dc.description.abstract | We propose a method to compute the spectral norm distance from a given matrix A to the set of matrices having at least an eigenvalue on the imaginary axis. It is shown that the distance is one of the roots of a suitably constructed polynomial in one variable. Our method can be easily generalized to compute the distance from A to the set of matrices having at least an eigenvalue on any straight line or circle. Thus, it can be applied to compute the distance from a stable matrix to the set of unstable matrices in either continuous or discrete sense. | en_US |
| dc.format.extent | 457432 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/4872 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 1989-23 | en_US |
| dc.title | A Method for Computing the Distance of a Stable Matrix to the Set of Unstable Matrices. | en_US |
| dc.type | Technical Report | en_US |
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