On symmetries of a matrix and its isospectral reduction

2021/05/25 by Röntgen, Malte, Pyzh, Maxim, Morfonios, Christian V. +1 · 1 citation
#05C50 #15A18 #5A27 #FOS: Mathematics #FOS: Physical sciences #General Mathematics (math.GM) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2105.12579

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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