The inverse eigenvalue problem for symmetric anti-bidiagonal matrices

Details The inverse eigenvalue problem for symmetric anti-bidiagonal matrices The inverse eigenvalue problem for symmetric anti-bidiagonal matrices

2005-05-05

arxiv.org/abs/math/0505095v2

Linear Algebra and its Applications, 408 (2005), 268-274

Mathematics

Rings and Algebras

6 pages; miscalculation corrected; acknowledgments added

Scientific paper

10.1016/j.laa.2005.06.006

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.

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