The inverse eigenvalue problem for symmetric quasi anti-bidiagonal matrices

@article{Nazari2011TheIE,
  title={The inverse eigenvalue problem for symmetric quasi anti-bidiagonal matrices},
  author={A. M. Nazari and Z. Beiranvand},
  journal={Applied Mathematics and Computation},
  year={2011},
  volume={217},
  pages={9526-9531}
}
In this paper we construct the symmetric quasi anti-bidiagonal matrix that its eigenvalues are given, and show that the problem is also equivalent to the inverse eigenvalue problem for a certain symmetric tridiagonal matrix which has the same eigenvalues. Not only elements of the tridiagonal matrix come from quasi anti-bidiagonal matrix, but also the places of elements exchange based on some conditions. Our problem also to solve inverse eigenvalue problem for symmetric anti-bidiagonal matrix… CONTINUE READING
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