Abstract

VALERO, ELVIS RONALD; MALLEA-ZEPEDA, EXEQUIEL  and  LENES, EBER. A recursive condition for the symmetric nonnegative inverse eigenvalue problema. Integración - UIS [online]. 2017, vol.35, n.1, pp.37-50. ISSN 0120-419X.  https://doi.org/10.18273/revint.v35n1-2017003.

In this paper we present a sufficient condition and a necessary condition for Symmetric Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria. This Criterion is recursive, that is, it determines whether a list A = {Al, ... , An, An+d is realizable by a nonnegative symmetric matrix, if the list M = {MI, ... , Mn} associated to A is realizable. This result is easy to program and improves sorne existing criteria.

Keywords : Inverse problems; eigenvalues; orthogonal matrices; symmetric matrix.

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