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On the number of real eigenvalues of products of random matrices and an application to quantum entanglement

โœ Scribed by Lakshminarayan, Arul


Book ID
127369481
Publisher
IOP Publishing
Year
2013
Tongue
English
Weight
1010 KB
Volume
46
Category
Article
ISSN
1751-8113

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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