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Distribution and estimation for eigenvalues of real quaternion matrices

โœ Scribed by J.L. Wu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
208 KB
Volume
55
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 are solved. Finally, some upper bound and lower bound estimation theorems for the moment, the real and imaginary part of the real quaternion matrices eigenvalues are obtained.

๐Ÿ“œ SIMILAR VOLUMES

Eigenvalues and eigenvectors for matrice
Eigenvalues and eigenvectors for matrices over distributive lattices
โœ Yi-Jia Tan ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 835 KB

Let (L, <~, v. A) be a complete and completely distr;butive I,ttice. A vector ~ is said to be an eigenvector of a square matrix A over the lattice L ifA~ = 2~ for some 2 E L. The elements ,;. are called the associated eigenvalues, in this paper we characterize the eigenvalues and the eigenvectors an