Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

Index rank-$k$ numerical range of matrices

Document Type : Research Paper

Authors
Department of Mathematics, Payame noor university(PNU), Tehran, Iran
Abstract
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.
Keywords
Subjects

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Volume 13, Issue 1 - Serial Number 26
November 2023
Pages 525-534

  • Receive Date 25 May 2023
  • Revise Date 24 September 2023
  • Accept Date 17 October 2023