Document Type
Article
Department/Program
Mathematics
Journal Title
Electronic Journal of Linear Algebra
Pub Date
2014
Volume
27
First Page
515
Abstract
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various properties of hermitian octonion matrices related to eigenvalues and convex cones, such as the convex cone of positive semidefinite matrices, are described. As an application, convexity of joint numerical ranges of 2 x 2 hermitian matrices is characterized. Another application involves existence of a matrix with a high eigenvalue multiplicity in a given real vector subspace of hermitian matrices.
Recommended Citation
William & Mary, Dept Math, Hermitian Octonion Matrices and Numerical Ranges (2014). Electronic Journal of Linear Algebra, 27, 515-533.
https://doi.org/10.13001/1081-3810.1634
DOI
https://doi.org/10.13001/1081-3810.1634
