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

Barini Geoffrey, Kivunge Benard, Jotham Akanga
2012 Applied Mathematics  
Let   , n S a b denote a set of all real nxn symmetric matrices with entries in the interval A   , a b . In this article, we present bounds for the second largest eigenvalue   2 A  of a real symmetric matrix A, such that .   3 , S bb A   A
doi:10.4236/am.2012.36094 fatcat:z473i44q5faqnledxewpxj6zjm