Drazin inverse of singular adjacency matrices of directed weighted cycles

ENCINAS, ANDRES M.; JAUME, DANIEL A.; PANELO, CRISTIAN; PASTINE, ADRIÁN

REVISTA DE LA UNIóN MATEMáTICA ARGENTINA

UNION MATEMATICA ARGENTINA

Año: 2020 vol. 61 p. 209 - 227

0041-6932

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.