Some practical applications of block recursive matrices

Abstract

The theory of block recursive matrices has been revealed to be a flexible tool in order to easily prove some properties concerning the classical theory of multiwavelet functions. Multiwavelets are a recent generalization of scalar wavelets, and their principal advantage, compared to scalar wavelets, is that they allow us to work with a higher number of degrees of freedom. In this work, we present some applications of the block recursive matrix theory to the solution of some practical problems. More precisely, we will show that the possibility of explicitly describing the product of particular block recursive matrices and of their transposes allows us to solve the problems o fthe construction and evaluation of multiwavelet functions quite simply.