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

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DOI: 10.4236/am.2012.36094    3,417 Downloads   5,456 Views   Citations


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 AAS3 [-b,b].

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The authors declare no conflicts of interest.

Cite this paper

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.


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