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A one parameter method for the matrix inverse square root

Slobodan Lakić — 1997

Applications of Mathematics

This paper is motivated by the paper [3], where an iterative method for the computation of a matrix inverse square root was considered. We suggest a generalization of the method in [3]. We give some sufficient conditions for the convergence of this method, and its numerical stabillity property is investigated. Numerical examples showing that sometimes our generalization converges faster than the methods in [3] are presented.

An Iterative Method for the Matrix Principal n-th Root

Lakić, Slobodan — 1995

Serdica Mathematical Journal

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.

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