• Title of article

    Index rank- k numerical range of matrices

  • Author/Authors

    Rezagholi ، Sharifeh Department of Mathematics - Payame noor university(PNU) , Yasini ، Rouholah Department of Mathematics - Payame noor university(PNU)

  • From page
    525
  • To page
    534
  • 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
    α−higher rank numerical range , index higher rank numerical range , α−numerical range , index numerical range.
  • Journal title
    Journal of Mahani Mathematical Research Center
  • Journal title
    Journal of Mahani Mathematical Research Center
  • Record number

    2756667