On The Frobenius Condition Number of Positive Definite Matrices
We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the cosine of the angle between two given real ma...
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2010-01-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2010/897279 |
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doaj-fb039fd80edc4240b4223e36a73fd1392020-11-25T00:37:40ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/897279On The Frobenius Condition Number of Positive Definite MatricesRamazan TürkmenZübeyde UlukökWe present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the cosine of the angle between two given real matrices. http://dx.doi.org/10.1155/2010/897279 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ramazan Türkmen Zübeyde Ulukök |
spellingShingle |
Ramazan Türkmen Zübeyde Ulukök On The Frobenius Condition Number of Positive Definite Matrices Journal of Inequalities and Applications |
author_facet |
Ramazan Türkmen Zübeyde Ulukök |
author_sort |
Ramazan Türkmen |
title |
On The Frobenius Condition Number of Positive Definite Matrices |
title_short |
On The Frobenius Condition Number of Positive Definite Matrices |
title_full |
On The Frobenius Condition Number of Positive Definite Matrices |
title_fullStr |
On The Frobenius Condition Number of Positive Definite Matrices |
title_full_unstemmed |
On The Frobenius Condition Number of Positive Definite Matrices |
title_sort |
on the frobenius condition number of positive definite matrices |
publisher |
SpringerOpen |
series |
Journal of Inequalities and Applications |
issn |
1025-5834 1029-242X |
publishDate |
2010-01-01 |
description |
We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the cosine of the angle between two given real matrices. |
url |
http://dx.doi.org/10.1155/2010/897279 |
work_keys_str_mv |
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1725300081347788800 |