Computation of the q-th roots of circulant matrices
الموضوعات :
M. Amirfakhrian
1
(Department of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, PO. Code 14168-94351,
Tehran, Iran)
P. Mohammadi Khanghah
2
(Department of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, PO. Code 14168-94351,
Tehran, Iran)
الکلمات المفتاحية: Circulant matrix, Matrix q-th root, Principle q-th root of circulant matrix, Nonsingular matrix, Reduced form,
ملخص المقالة :
In this paper, we investigate the reduced form of circulant matrices and we showthat the problem of computing the q-th roots of a nonsingular circulant matrix A can bereduced to that of computing the q-th roots of two half size matrices B - C and B + C.
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