Resumen de Refinable functions with general dilation and a stable test for generalized Routh-Hurwitz conditions
Generalized Routh-Hurwitz conditions consist of the positivity of n determinants associated to a polynomial of degree n. They can be used in order to guarantee that a refinable function with dilation M is a ripplet, that is, the collocation matrices of its shifts are totally positive. Given a polynomial of degree n, a test of O(n2) elementary operations and growth factor 1 is presented in order to check the generalized Routh-Hurwitz conditions. The case corresponding to M = 3 is described in detail.
