On symmetries of a matrix and its isospectral reduction

• URL: http://arxiv.org/abs/2105.12579v1
• Date: Tue, 25 May 2021 17:52:27 GMT
• Title: On symmetries of a matrix and its isospectral reduction
• Authors: Malte R\"ontgen, Maxim Pyzh, Christian V. Morfonios, Peter Schmelcher
• Abstract summary: diagonalizable matrices in terms of their so-called isospectral reduction represent a versatile approach to the underlying eigenvalue problem. We show in the present work that it is possible to construct a corresponding symmetry of the original matrix.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The analysis of diagonalizable matrices in terms of their so-called isospectral reduction represents a versatile approach to the underlying eigenvalue problem. Starting from a symmetry of the isospectral reduction, we show in the present work that it is possible to construct a corresponding symmetry of the original matrix.

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