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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… Click to show full 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.
Keywords:
directed weighted;
weighted cycles;
inverse singular;
drazin inverse;
singular adjacency;
adjacency matrices
Journal Title: Revista De La Union Matematica Argentina
Year Published: 2020
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Journal Title: Revista De La Union Matematica Argentina
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!