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Bounds for the Second Largest Eigenvalue of Real 3 × 3 Symmetric Matrices with Entries Symmetric about the Origin
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
Department of Pure and Applied Mathematics, Kenya Polytechnic University College, Nairobi, Kenya
- 1 Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
- 2 Department of Pure and Applied Mathematics, Kenya Polytechnic University College, Nairobi, Kenya
- 3 Department of Pure and Applied Mathematics, Kenya Polytechnic University College, Nairobi, Kenya
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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 λ 2 ( A ) of a real symmetric matrix A , such that A ∈ A S 3 [-b,b].
KeywordsBoundsDeterminantEigenvaluesTrace
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