Title of article :
Computation of the q-th roots of circulant matrices
Author/Authors :
Amirfakhrian, M. Department of Mathematics, Faculty of Science - Islamic Azad University, Central Tehran Branch , Mohammadi Khanghah, P. Department of Mathematics, Faculty of Science - Islamic Azad University, Central Tehran Branch
Abstract :
In this paper, we investigate the reduced form of circulant matrices and we show
that the problem of computing the q-th roots of a nonsingular circulant matrix A can be reduced to that of computing the q-th roots of two half size matrices B − C and B + C.
Keywords :
Circulant matrix , Matrix q-th root , Principle q-th root of circulant matrix , Nonsingular matrix , Reduced form
Journal title :
Astroparticle Physics