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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Veröffentlicht in:Journal of inequalities and applications 2010-01, Vol.2010 (1), p.897279-897279
Hauptverfasser: Türkmen, Ramazan, Ulukök, Zübeyde
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical models
Mathematics
Studies
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Zusammenfassung: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.
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/1029-242X-2010-897279