• Title of article

    Bounds for the spectral radius and the largest singular value

  • Author/Authors

    O. Rojo، نويسنده , , R. Soto، نويسنده , , H. Rojo، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 1998
  • Pages
    10
  • From page
    41
  • To page
    50
  • Abstract
    We derive an increasing sequence of lower bounds for the spectral radius of a matrix with real spectrum and progressively improved bounds for the largest singular value of a complex matrix. We also find estimates for the rank of normal matrices with real spectrum and for the rank of normal nonnegative matrices, including some sufficient condition for such matrices to be invertible.
  • Keywords
    Nonnegative matrix , Normal matrix , Rank , spectral radius , Perron root , Singular values
  • Journal title
    Computers and Mathematics with Applications
  • Serial Year
    1998
  • Journal title
    Computers and Mathematics with Applications
  • Record number

    918243