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Bounding the Eigenvalues of a Matrix : Optimization of Quadratic FormsAuthors: Garimella Ramamurthy Date: 2015-07-15 Report no: IIIT/TR/2015/50 AbstractIn this research paper, a tighter lower bound (than earlier ones ) on spectral radius of a symmetric non-negative matrix ( Perron Eigenvalue ) , μ_max is derived. Also, an interesting upper bound on the smallest eigenvalue of a symmetric matrix is derived. Using the concept of Lebesgue decomposition, bounds on smallest and largest eigenvalues of an arbitrary matrix are derived. The concept of ordered sum matrix norm is introduced. Full report: pdf Centre for Security, Theory and Algorithms |
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