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arXiv · 1910.08813

Simultaneous hollowisation, joint numerical range, and stabilization by noise

Tobias Damm·Heike Fassbender
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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.

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Tobias Damm, Heike Fassbender. 2020-01-28. Simultaneous hollowisation, joint numerical range, and stabilization by noise. https://arxiv.org/abs/1910.08813

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