A Numerical Method for Computing the Principal Square Root of a Matrix

It is shown how the mid-point iterative method with cubical rate of convergence can be applied for finding the principal matrix square root. Using an identity between matrix sign function and matrix square root, we construct a variant of mid-point method which is asymptotically stable in the neighbo...

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Bibliographic Details
Main Authors: F. Soleymani, S. Shateyi, F. Khaksar Haghani
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/525087