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- W1653579946 abstract "The joint spectral radius is the extension to two or more matrices of the (ordinary) spectral radius ρ(A) = max ∣λ i (A)∣ = lim ∥A m ∥1/ m . The extension allows matrix products Π m taken in all orders, so that norms and eigenvalues are difficult to estimate. We show that the limiting process does yield a continuous function of the original matrices—this is their joint spectral radius. Then we describe the construction of wavelets from a dilation equation with coefficients c k . We connect the continuity of those wavelets to the value of the joint spectral radius of two matrices whose entries are formed from the c k ." @default.
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- W1653579946 date "1995-01-01" @default.
- W1653579946 modified "2023-09-30" @default.
- W1653579946 title "Continuity of the Joint Spectral Radius: Application to Wavelets" @default.
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- W1653579946 doi "https://doi.org/10.1007/978-1-4612-4228-4_4" @default.
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