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

Joint Authors

Haghani, F. Khaksar
Soleymani, Fazlollah
Sharifi, M.
Shateyi, Stanford

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-08-05

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Soleymani, Fazlollah& Sharifi, M.& Shateyi, Stanford& Haghani, F. Khaksar. 2014. An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1015193

Modern Language Association (MLA)

Soleymani, Fazlollah…[et al.]. An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1015193

American Medical Association (AMA)

Soleymani, Fazlollah& Sharifi, M.& Shateyi, Stanford& Haghani, F. Khaksar. An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1015193

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1015193