Geodesic
An Iterative Method for the Matrix Principal n-th Root
Serdica Mathematical Journal, Tome 21 (1995) no. 4, pp. 335-344.

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In this paper we give an iterative method to compute the principal n-th root and the principal inverse n-th root of a given matrix. As we shall show this method is locally convergent. This method is analyzed and its numerical stability is investigated.
Keywords: Iterative Methods, Matrix Function 
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Lakić, Slobodan. An Iterative Method for the Matrix Principal n-th Root. Serdica Mathematical Journal, Tome 21 (1995) no. 4, pp. 335-344. http://geodesic.mathdoc.fr/item/SMJ2_1995_21_4_a2/