title: A note on vector cascade algorithm
abstract: The focus of this paper is on the relationship between accuracy of multivariate refinable vector and vector cascade algorithm. We show that, if the vector cascade algorithm (1.5) with isotropic dilation converges to a vector-valued function with regularity, then the initial function must satisfy the Strang-Fix conditions
keyphrases: vector cascade algorithm multivariate refinable vector isotropic dilation vector-valued function Strang-fix conditions matrix algebra