Bounds for the Second Largest Eigenvalue of Real 3 × 3 Symmetric Matrices with Entries Symmetric about the Origin ()
Barini Geoffrey,
Kivunge Benard,
Jotham Akanga
Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya.
Department of Pure and Applied Mathematics, Kenya Polytechnic University College, Nairobi, Kenya.
DOI: 10.4236/am.2012.36094
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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].
Share and Cite:
B. Geoffrey, K. Benard and J. Akanga, "Bounds for the Second Largest Eigenvalue of Real 3 × 3 Symmetric Matrices with Entries Symmetric about the Origin,"
Applied Mathematics, Vol. 3 No. 6, 2012, pp. 606-609. doi:
10.4236/am.2012.36094.
Conflicts of Interest
The authors declare no conflicts of interest.
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