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Drazin inverse of singular adjacency matrices of directed weighted cycles
Volume 61, no. 2
(2020),
pp. 209–227
https://doi.org/10.33044/revuma.v61n2a02
Abstract
We present a necessary and sufficient condition for the singularity of
circulant matrices associated with directed weighted cycles. This
condition is simple and independent of the order of matrices from a
complexity point of view. We give explicit and simple formulas for the
Drazin inverse of these circulant matrices. We also provide a
Bjerhammar-type condition for the Drazin inverse.
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Published by the Unión Matemática Argentina |