A closed-form expression for the kth power of semicirculant and r-circulant matrices

2020/06/29 by Mohammed Mouçouf, Mouçouf, Mohammed
Computer Science · Engineering · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2006.16198

openalex publication_date 2020/06/29 · openalex created_date 2020/07/02 · openalex updated_date 2026/07/28

Abstract

We derive a closed-form expression for the kth power of semicirculant matrices by using the determinant of certain matrices. As an application, a closed-form expression for the kth power of r-circulant matrices is also povided.

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