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Soleymani, F.; Sharifi, M.; Shateyi, S.; Khaksar Haghani, F.

An algorithm for computing geometric mean of two Hermitian positive definite matrices via matrix sign. (English) Zbl 1474.65123

Abstr. Appl. Anal. 2014, Article ID 978629, 6 p. (2014).
Summary: 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 to support the proposed computational algorithm.

Cited in 8 Documents

MSC:

65F60 Numerical computation of matrix exponential and similar matrix functions
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
15B48 Positive matrices and their generalizations; cones of matrices

Software:

mftoolbox; Matrix Means Toolbox
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\textit{F. Soleymani} et al., Abstr. Appl. Anal. 2014, Article ID 978629, 6 p. (2014; Zbl 1474.65123)
Full Text: DOI

References:

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