Add to ORKGAbstract. 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 2×2 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
AbstractLet Cn×n and Hn denote respectively the space of n×n complex matrices and the real space of ...
The joint numerical range W(F) of three hermitian 3-by-3 matrices F=(F1,F2,F3) is a convex and compa...
[[abstract]]Let and denote respectively the space of n×n complex matrices and the real space of n×...
Abstract. Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
AbstractWe investigate the convexity of the joint numerical range of m-tuples of n×n hermitian matri...
AbstractWe investigate the convexity of the joint numerical range of m-tuples of n×n hermitian matri...
The convexity of the numerical range of a normal matrix with quaternion entries is studied
AbstractThe following question is addressed: To what extent the n-tuple of m×m Hermitian matrices is...
AbstractLet Cn×n be the linear space of all n × n complex matrices. Suppose 1⩽k⩽n. The generalized k...
By using a real matrix translation, we propose a coupled eigenvalue problem for octonionic operators...
AbstractLet Cn×n and Hn denote respectively the space of n×n complex matrices and the real space of ...
The joint numerical range W(F) of three hermitian 3-by-3 matrices F=(F1,F2,F3) is a convex and compa...
[[abstract]]Let and denote respectively the space of n×n complex matrices and the real space of n×...
Abstract. Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various ...
AbstractWe investigate the convexity of the joint numerical range of m-tuples of n×n hermitian matri...
AbstractWe investigate the convexity of the joint numerical range of m-tuples of n×n hermitian matri...
The convexity of the numerical range of a normal matrix with quaternion entries is studied
AbstractThe following question is addressed: To what extent the n-tuple of m×m Hermitian matrices is...
AbstractLet Cn×n be the linear space of all n × n complex matrices. Suppose 1⩽k⩽n. The generalized k...
By using a real matrix translation, we propose a coupled eigenvalue problem for octonionic operators...
AbstractLet Cn×n and Hn denote respectively the space of n×n complex matrices and the real space of ...
The joint numerical range W(F) of three hermitian 3-by-3 matrices F=(F1,F2,F3) is a convex and compa...
[[abstract]]Let and denote respectively the space of n×n complex matrices and the real space of n×...