Optimal approximation of functions

Optimal Approximation of Functions

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

On Padé Approximation of Some Practical Functions

Frequency-weighted optimal Hankel-norm approximation of stable transfer functions

The present paper presents a method of frequency shaping the error obtained by performing an optimal Hankel-norm approximation of a scalar, finite-dimensional, linear, time-invariant system. The optimal Hankel-norm approximation procedure finds a transfer function (or transfer function matrix) of prescribed order which approximates a given transfer function (or transfer function matrix) of grea...

An optimal adaptive algorithm for the approximation of concave functions

We consider the piecewise linear approximation of a concave function representing the value function of a parameterized convex program. Using dynamic programming, we derive a procedure for selecting the knots at which an oracle provides the function value and one supergradient. The procedure is adaptive in that the choice of a knot is dependent on the choice of the previous knots. It is also op...