Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran


In this paper, at first for a given set of real or complex numbers $\sigma$ with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which $\sigma$ is its spectrum. In continue we present some conditions for existence such nonnegative tridiagonal matrices.


Main Subjects

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