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The inverse eigenvalue problem for symmetric anti-bidiagonal matrices | Olga Holtz
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5 May 2005 | Journal: | Linear Algebra and its Applications, 408 (2005), 268-274 DOI: 10.1016/j.laa.2005.06.006 | Subject: | Rings and Algebras; Numerical Analysis MSC-class: 15A18, 15A29, 15A48, 15A57 | math.RA math.NA | 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. | Source: | arXiv, math.RA/0505095 | Services: | Forum | Review | PDF | Favorites |
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