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

AM > Vol.3 No.6, June 2012

Applied Mathematics

Volume 3, Issue 6 (June 2012)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

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 4,119 Downloads 6,725 Views Citations

Author(s)

Barini Geoffrey, Kivunge Benard, Jotham Akanga

Affiliation(s)

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.

ABSTRACT

Let A_S_n_[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∈A_S₃ [-b,b].

KEYWORDS

Bounds; Determinant; Eigenvalues; Trace

Share and Cite:

Geoffrey, B. , Benard, K. and Akanga, J. (2012) Bounds for the Second Largest Eigenvalue of Real 3 × 3 Symmetric Matrices with Entries Symmetric about the Origin. Applied Mathematics, 3, 606-609. doi: 10.4236/am.2012.36094.

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