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Let A be a multiset of square matrices of the same size and || • || be a matrix norm. For 0 < p < oo, the p-norm joint spectral radius Pp(^l) ofvA. is defined by / ^ \ pP(A)lim J2 Pi •••^n|| p • This concept plays an important role in the investigation of wavelets and subdivision schemes. The purpose of this paper is to give a formula for computing pp(A) in terms of the spectral radius of some finite matrix when p is an even integer: P2k(A) = {p(j2 (A®A))\ , fr€Nf *> \4LeX ^ J where A <g) A is the Kronecker product, and AW = A, A^l = A <S> A®. This formula is employed to study the uniform joint spectral radius (p = oo). Examples including multiple refinable Hermite interpolants will be provided to illustrate the general theory.

The $p$-norm joint spectral radius for even integers