On The Frobenius Condition Number of Positive Definite Matrices

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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Bibliographic Details
Main Authors: Ramazan Türkmen, Zübeyde Ulukök
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/897279
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spelling 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
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AT zamp252beydeulukamp246k onthefrobeniusconditionnumberofpositivedefinitematrices
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