Location for the right eigenvalues of quaternion matrices
โ Scribed by Limin Zou; Youyi Jiang; Junliang Wu
- Book ID
- 107620100
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- English
- Weight
- 433 KB
- Volume
- 38
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
Let L~ denote the class of n x n Z-matrices A = tl -B with B ~> 0 and pk(B) <~ t <-Pk+l (B), where pk(B) denotes the maximum spectral radius of k x k principal submatrices of B. Bounds are determined on the number of eigenvalues with positive real parts for A E L~i, where k satisfies, [n/2j ~< k ~<