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.

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Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 13, Issue 1 - Serial Number 26
November 2023
Pages 525-534

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History

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

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