Geodesic
A one parameter method for the matrix inverse square root
Applications of Mathematics, Tome 42 (1997) no. 6, pp. 401-410.

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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.
DOI : 10.1023/A:1022229028633
Classification : 65F10, 65F30
Keywords: Newton method; matrix inverse square root; iterative process 
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Lakić, Slobodan. A one parameter method for the matrix inverse square root. Applications of Mathematics, Tome 42 (1997) no. 6, pp. 401-410. doi : 10.1023/A:1022229028633. http://geodesic.mathdoc.fr/articles/10.1023/A:1022229028633/

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