| Abstract: |
| We establish a new approach to obtain sharp bounds of the spectral radius of a square matrix. The study of spectral radius has many applications, especially the stability of differential equations.
The spectral radius is the largest absolute value of eigenvalues. The main idea of our approach is to reweight the entries such that their row sums do not change. With this approach, we can derive more sharp bounds then those in the literature in a systematic way. |
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