Bounds for the Second Largest Eigenvalue of Real 3 × 3 Symmetric Matrices with Entries Symmetric about the Origin

Barini, GeoffreyKivunge, BenardAkanga, Jotham2015-05-292015-05-292012Applied Mathematics Vol.3 No.6, June 2012http://www.scirp.org/journal/PaperInformation.aspx?paperID=20290#.VWhvo0bzkb8http://hdl.handle.net/123456789/1180Let ASn[a,b] denote a set of all real nxn symmetric matrices with entries in the interval [a,b]. In this article, we present bounds for the second largest eigenvalue λ2(A) of a real symmetric matrix A, such that A∈AS3 [-b,b].enBounds for the Second Largest Eigenvalue of Real 3 × 3 Symmetric Matrices with Entries Symmetric about the OriginArticle