Index rank-$k$ numerical range of matrices

Document Type : Research Paper


Department of Mathematics, Payame noor university(PNU), Tehran, Iran


We introduce the $\alpha-$higher rank form of the matrix numerical range, which is a special case of the matrix polynomial version of higher rank numerical range. We also, investigate some algebraic and geometrical properties of this set for general and nilpotent matrices. Some examples to confirm the results are brought.


Main Subjects

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