To approximate functions of a single variable by using linear interpolation is routine in empirical studies. Here, we consider approximating functions of several variables in a similar piecewise ...

Abstract: A stochastic approximation algorithm is presented for on-line identification of linear, multivariable, discrete-time systems from noisy data without prior knowledge of the statistics of ...

William J. Gordon, Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation, SIAM Journal on Numerical Analysis, Vol. 8, No. 1 (Mar., 1971), pp. 158-177 ...

Additionally, foundational work on the tractability of multivariate approximation in weighted Hilbert spaces with exponential weights continues to influence current research by offering necessary ...