The inverse eigenvalue problem for symmetric anti-bidiagonal matrices
  The inverse eigenvalue problem for real symmetric matrices of the form   0 0 0 . 0 0 *   0 0 0 . 0 * *   0 0 0 . * * 0   . . . . . . .   0 0 * . 0 0 0   0 * * . 0 0 0   * * 0 . 0 0 0   is solved. The solution is shown to be unique. The problem is also shown to be equivalent to the inverse eigenvalue problem for a certain subclass of Jacobi matrices. 
Olga Holtz