On the Computation of the Matrixk-th Root
Slobodan Lakić · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1998
In this paper we derive a family of iterative methods for computing the k-th root and the inverse k-th root of a given matrix. We will show that the methods are locally convergent. The methods are analyzed and their numerical stability is investigated.