Dynamics of the QR-flow for upper Hessenberg real matrices
نویسندگان
چکیده
We investigate the main phase space properties of QR-flow when restricted to upper Hessenberg matrices. A complete description linear behavior equilibrium matrices is given. The result classifies possible $ \alpha $- and \omega $-limits orbits for this system. Furthermore, we characterize set initial which there convergence towards an matrix. Several numerical examples show different limit illustrate theory.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B
سال: 2021
ISSN: ['1531-3492', '1553-524X']
DOI: https://doi.org/10.3934/dcdsb.2020166