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Some results on proper eigenvalues and eigenvectors with applications to scaling

✍ Scribed by Roderick P. McDonald; Yukihiko Torii; Shizuhiko Nishisato


Book ID
118292079
Publisher
Springer
Year
1979
Tongue
English
Weight
901 KB
Volume
44
Category
Article
ISSN
0033-3123

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The second-order derivatives of matrices
✍ Olga Dunajeva πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 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