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An eigenvalue algorithm for skew-symmetric matrices

✍ Scribed by M. H. C. Paardekooper


Book ID
105197804
Publisher
Springer-Verlag
Year
1971
Tongue
English
Weight
568 KB
Volume
17
Category
Article
ISSN
0029-599X

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Standard identities for skew-symmetric m
✍ Jordan Dale Hill πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 137 KB

Let n be a positive, even integer and let K n (F ) denote the subspace of skew-symmetric matrices of Mn(F ), the full matrix algebra with coefficients in a field F. A theorem of Kostant states that K n (F) satisfies the (2n -2)-fold standard identity s 2n-2 . In this paper we refine this result by s

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## Abstract In the numerical modelling of mechanical systems, eigenvalue problems occur in connection with the evaluation of resonance frequencies, buckling modes and other more esoteric calculations. The matrices whose eigenvalues are sought sometimes have a skew‐symmetric component and the presen