Resumen de Drazin inverse of singular adjacency matrices of directed weighted cycles

Andrés Marcos Encinas Bachiller , Daniel Jaume, Cristian Panelo, Adrián Pastine

• 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.