On the nonnegative inverse eigenvalue problem of traditional matrices
Subject Areas : Linear and multilinear algebra; matrix theory
A. M. Nazari
1
(Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran)
S. Kamali Maher
2
(Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran)
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.