The inverse eigenvalue problem for symmetric anti-bidiagonal matrices
Rings and Algebras
2007-05-23 v2 Classical Analysis and ODEs
Numerical Analysis
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.
Cite
@article{arxiv.math/0505095,
title = {The inverse eigenvalue problem for symmetric anti-bidiagonal matrices},
author = {Olga Holtz},
journal= {arXiv preprint arXiv:math/0505095},
year = {2007}
}
Comments
6 pages; miscalculation corrected; acknowledgments added