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Ordered Eigenvalues of a General Class of Hermitian Random Matrices With Application to the Performance Analysis of MIMO Systems

โœ Scribed by Ordoez, L.G.; Palomar, D.P.; Fonollosa, J.R.


Book ID
119822971
Publisher
IEEE
Year
2009
Tongue
English
Weight
746 KB
Volume
57
Category
Article
ISSN
1053-587X

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The second-order derivatives of matrices
โœ Olga Dunajeva ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 207 KB

In this paper we derive the second-order derivatives of an orthogonal matrix of eigenvectors and of a matrix of eigenvalues of a real symmetric matrix. Obtained expressions depend on the first-order derivatives of these matrices, which were presented in Linear Algebra Appl. 264 (1997) 489. These res