On the nonnegative inverse eigenvalue problem of traditional matrices

Subject Areas : Linear and multilinear algebra; matrix theory

A. M. Nazari ¹ , S. Kamali Maher ²

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

Received: 2013-01-01 Accepted : 2013-01-01 Published : 2013-09-01

Keywords: Inverse eigenvalue problem, Tridiagonal matrix, Nonnegative matrix,

Abstract :

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.

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