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Mathematics > Numerical Analysis

arXiv:1910.08813 (math)
[Submitted on 19 Oct 2019 (v1), last revised 28 Jan 2020 (this version, v2)]

Title:Simultaneous hollowisation, joint numerical range, and stabilization by noise

Authors: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.
Comments: 23 pages, 5 figures
Subjects: Numerical Analysis (math.NA); Dynamical Systems (math.DS)
MSC classes: 65F25, 15A21, 15A60, 15B57, 93D15
Cite as: arXiv:1910.08813 [math.NA]
  (or arXiv:1910.08813v2 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.1910.08813

Submission history

From: Tobias Damm [view email]
[v1] Sat, 19 Oct 2019 18:06:55 UTC (174 KB)
[v2] Tue, 28 Jan 2020 12:10:45 UTC (176 KB)
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