Simultaneous hollowisation, joint numerical range, and stabilization by noise
Numerical Analysis
2020-01-29 v2 Numerical Analysis
Dynamical Systems
Abstract
We consider orthogonal transformations of arbitrary square matrices to a form where all diagonal entries are equal. In our main results we treat the simultaneous transformation of two matrices and the symplectic orthogonal transformation of one matrix. A relation to the joint real numerical range is worked out, efficient numerical algorithms are developped and applications to stabilization by rotation and by noise are presented.
Cite
@article{arxiv.1910.08813,
title = {Simultaneous hollowisation, joint numerical range, and stabilization by noise},
author = {Tobias Damm and Heike Fassbender},
journal= {arXiv preprint arXiv:1910.08813},
year = {2020}
}
Comments
23 pages, 5 figures