An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign

Using the relation between a principal matrix square root and its inverse with the geometric mean, we present a fast algorithm for computing the geometric mean of two Hermitian positive definite matrices. The algorithm is stable and possesses a high convergence order. Some experiments are included t...

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Bibliographic Details
Main Authors: F. Soleymani, M. Sharifi, S. Shateyi, F. Khaksar Haghani
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/978629
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