Inversion Free Algorithms for Computing the Principal Square Root of a Matrix

New algorithms are presented about the principal square root of an n×n matrix A. In particular, all the classical iterative algorithms require matrix inversion at every iteration. The proposed inversion free iterative algorithms are based on the Schulz iteration or the Bernoulli substitution as a sp...

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Bibliographic Details
Main Authors: Nicholas Assimakis, Maria Adam
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2014/613840
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