Systolic algorithm for multivariable approximation using tensor products of basis functions (Q1179247)

The paper is concerned with the approximation of \(f(x,y)\) by a function of the form \(\Omega(x,y)=\sum^ m_{i=1}\sum^ n_{j=1}a_{ij}\phi_ i(x)\psi_ j(y)\) which interpolates \(f\) at the rectangular grid of points \(\{(x_ i,y_ j)\}\). The authors discuss the choice of the basis functions \(\{\phi_ i(x)\}\), \(\{\psi_ j(y)\}\) and present a systolic algorithm for the computation of the tensor and inner products arising in the approximation method.