G. Constantine, “Lower Bounds for the Spectra of Symmetric Matrices with Nonnegative Entries,” Linear Algebra and its Applications, Vol. 65, 1985, pp. 171-178. doi:10.1016/0024-3795(85)90095-3

has been cited by the following article:

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

  AUTHORS: Barini Geoffrey, Kivunge Benard, Jotham Akanga

  KEYWORDS: Bounds; Determinant; Eigenvalues; Trace

  JOURNAL NAME: Applied Mathematics, Vol.3 No.6, June 26, 2012

  ABSTRACT: Let 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].