A Simple Proof of the Classification of Normal Toeplitz Matrices
| dc.creator | Arimoto, Akio | |
| dc.date | 2002-04-23 | |
| dc.date.accessioned | 2026-07-07T04:48:01Z | |
| dc.date.available | 2026-07-07T04:48:01Z | |
| dc.description | We give an easy proof to show that every complex normal Toeplitz matrix is classified as either of type I or of type II. Instead of difference equations on elements in the matrix used in past studies, polynomial equations with coefficients of elements are used. In a similar fashion, we show that a real normal Toeplitz matrix must be one of four types: symmetric, skew-symmetric, circulant, or skew-circulant. Here we use trigonometric polynomials in the complex case and algebraic polynomials in the real case. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0204276 | |
| dc.identifier | http://arxiv.org/abs/math/0204276 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63889 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 15A57;47B15;47B35 | |
| dc.title | A Simple Proof of the Classification of Normal Toeplitz Matrices | |
| dc.type | text |