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http://hdl.handle.net/2445/192780| Title: | Dynamics of the QR-flow for upper Hessenberg real matrices |
| Author: | Tatjer i Montaña, Joan Carles Vieiro Yanes, Arturo |
| Keywords: | Anàlisi numèrica Àlgebra lineal Matrius (Matemàtica) Sistemes dinàmics diferenciables Numerical analysis Linear algebra Matrices Differentiable dynamical systems |
| Issue Date: | Mar-2021 |
| Publisher: | American Institute of Mathematical Sciences (AIMS) |
| Abstract: | We investigate the main phase space properties of the QR-flow when restricted to upper Hessenberg matrices. A complete description of the linear behavior of the equilibrium matrices is given. The main result classifies the possible $\alpha$ - and $\omega$-limits of the orbits for this system. Furthermore, we characterize the set of initial matrices for which there is convergence towards an equilibrium matrix. Several numerical examples show the different limit behavior of the orbits and illustrate the theory. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.3934/dcdsb.2020166 |
| It is part of: | Discrete and Continuous Dynamical Systems-Series B, 2021, vol. 26, num. 3, p. 1359-1403 |
| URI: | http://hdl.handle.net/2445/192780 |
| Related resource: | https://doi.org/10.3934/dcdsb.2020166 |
| ISSN: | 1531-3492 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 700197.pdf | 2.69 MB | Adobe PDF | View/Open |
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