1. What does " spectral radius " mean and how to calculate it? 2. Related to the computability of the joint spectral radius is the following conjecture: 3. The operator norm of a normal operator equals its numerical radius and spectral radius . 4. The right spectral radius of every right stochastic matrix is clearly at most 1. 5. Still in functional analysis, \ lambda _ \ max is known as the spectral radius . 6. A closely related operator is a spectraloid operator : an operator whose spectral radius coincides with its numerical radius. 7. The largest eigenvalue or spectral radius of FV ^ {-1 } is the basic reproduction number of the model. 8. The joint spectral radius became popular when Ingrid Daubechies and Jeffrey Lagarias showed that it rules the continuity of certain wavelet functions. 9. If D has spectral radius less than 1, then I-D is invertible, and the Neumann series formula holds. 10. The joint spectral radius of a set of matrices is the maximal asymptotic growth rate of products of matrices taken in that set.
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