The inverse eigenvalue problem for symmetric anti-bidiagonal matrices

Olga Holtz

doi:10.1016/j.laa.2005.06.006

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The inverse eigenvalue problem for symmetric anti-bidiagonal matrices

Olga Holtz

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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.

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Olga Holtz. 2005-05-05. The inverse eigenvalue problem for symmetric anti-bidiagonal matrices. https://doi.org/10.1016/j.laa.2005.06.006

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