A note on the eigenvalues of double band matrices

Details A note on the eigenvalues of double band matrices A note on the eigenvalues of double band matrices

2008-10-31

arxiv.org/abs/0811.0023v1

Mathematics

Spectral Theory

Scientific paper

We consider matrices containing two diagonal bands of positive entries. We
show that all eigenvalues of such matrices are of the form $r \zeta$, where $r$
is a nonnegative real number and $\zeta$ is a $p$th root of unity, where $p$ is
the period of the matrix, which is computed from the distance between the
bands.

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