Distribution of Eigenvalues of Real Symmetric Palindromic Toeplitz Matrices and Circulant Matrices
โ Scribed by Adam Massey; Steven J. Miller; John Sinsheimer
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 518 KB
- Volume
- 20
- 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