The inverse eigenvalue problem for symmetric anti-bidiagonal matrices

Research paper by Olga Holtz

Indexed on: 10 May '05Published on: 10 May '05Published in: Mathematics - Rings and Algebras

Abstract

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.