Distribution of Eigenvalues for the Ensemble of Real Symmetric Toeplitz Matrices
โ Scribed by Christopher Hammond; Steven J. Miller
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 255 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0894-9840
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If n t rรs n rYs0 is a real symmetric Toeplitz (RST) matrix then R n has a basis consisting of dna2e eigenvectors x satisfying (A) tx x and na2 eigenvectors y satisfying (B) ty รy, where t is the ยฏip matrix. We say that an eigenvalue k of n is even if a k-eigenvector of n satisยฎes (A), or odd if a k
In this paper, the concept of generalized spherical neighborhood on the real quaternion field is introduced. Then, Schwartz' s inequality and the Gerschgorin's theorem are proved on the real quaternion field and the problems of the distribution and estimation of real quaternion matrix eigenvalues ar