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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/978629 |
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| author | F. Soleymani M. Sharifi S. Shateyi F. Khaksar Haghani |
| author_facet | F. Soleymani M. Sharifi S. Shateyi F. Khaksar Haghani |
| author_sort | F. Soleymani |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3909d4d2b04740069dddfd784cfbfe61 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3909d4d2b04740069dddfd784cfbfe612025-08-20T03:55:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/978629978629An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix SignF. Soleymani0M. Sharifi1S. Shateyi2F. Khaksar Haghani3Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics and Applied Mathematics, School of Mathematical and Natural Sciences, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranUsing 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.http://dx.doi.org/10.1155/2014/978629 |
| spellingShingle | F. Soleymani M. Sharifi S. Shateyi F. Khaksar Haghani An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign Abstract and Applied Analysis |
| title | An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign |
| title_full | An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign |
| title_fullStr | An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign |
| title_full_unstemmed | An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign |
| title_short | An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign |
| title_sort | algorithm for computing geometric mean of two hermitian positive definite matrices via matrix sign |
| url | http://dx.doi.org/10.1155/2014/978629 |
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