Using digraphs to compute determinant, permanent and Drazin inverse of circulant matrices with two parameters
Andr\'es M. Encinas, Daniel A. Jaume, Cristian Panelo, Denis E. Videla
TL;DR
This paper derives explicit formulas for calculating the determinant, permanent, inverse, and Drazin inverse of circulant matrices characterized by two non-zero parameters, simplifying their analysis.
Contribution
It provides new closed-form expressions for key matrix functions of circulant matrices with two parameters, advancing computational methods.
Findings
Closed formulas for determinant and permanent
Explicit expressions for inverse and Drazin inverse
Simplified analysis of two-parameter circulant matrices
Abstract
This work presents closed formulas for determinant, permanent, inverse, and Drazin inverse of circulant matrices with two non-zero coefficients.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMatrix Theory and Algorithms · Graph theory and applications · graph theory and CDMA systems