Abstract
Several inverse eigenvalue problems for tridiagonal matrices are discussed. In particular, it is shown that for every set S of n complex numbers which is symmetric with respect to the real axis, there exists a symmetric in modulus tridiagonal n× n matrix A which has a nonnegative super diagonal, a nonpositive subdiagonal, all diagonal elements zero except for a 11 which is nonnegative and a nn which is nonpositive, and with spectrum S.
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