• Title of article

    Eigenvalue inequalities and equalities

  • Author/Authors

    Roger A. Horn، نويسنده , , Noah H. Rhee، نويسنده , , Wasin So and Jianzhong Wang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1997
  • Pages
    16
  • From page
    29
  • To page
    44
  • Abstract
    We consider cases of equality in three basic inequalities for eigenvalues of Hermitian matrices: Cauchyʹs interlacing inequalities for principal submatrices, Weylʹs inequalities for sums, and the residual theorem. Several applications generalize and sharpen known results for eigenvalues of irreducible tridiagonal Hermitian matrices.
  • Journal title
    Linear Algebra and its Applications
  • Serial Year
    1997
  • Journal title
    Linear Algebra and its Applications
  • Record number

    822295