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- W1984474015 abstract "We develop lower bounds for the spectral radius of symmetric, skew-symmetric, and arbitrary real matrices. Our approach utilizes the well-known Leverrier-Faddeev algorithm for calculating the coefficients of the characteristic polynomial of a matrix in conjunction with a theorem by Lucas which states that the critical points of a polynomial lie within the convex hull of its roots. Our results generalize and simplify a proof recently published by Tarazaga for a lower bound on the spectral radius of a symmetric positive definite matrix. In addition, we provide new lower bounds for the spectral radius of skew-symmetric matrices. We apply these results to a problem involving the stability of fixed points in recurrent neural networks." @default.
- W1984474015 created "2016-06-24" @default.
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- W1984474015 date "1997-09-01" @default.
- W1984474015 modified "2023-09-30" @default.
- W1984474015 title "Lower bounds for the spectral radius of a matrix" @default.
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- W1984474015 doi "https://doi.org/10.1016/s0024-3795(96)00539-3" @default.
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