Abstract :
The problem of piecewise polynomial L2 approximation with variable boundaries is considered. Necdssary and sufficient conditions for local optima are derived. These suggest simple functional iteration, algorithms for locating the boundaries.
Keywords :
L2 approximation, Newton´s method, piecewise polynomial approximation, variable boundary approximation, variable breakpoint approximation.; Computer aided software engineering; Equations; Newton method; Polynomials; Sufficient conditions; Symmetric matrices; Vectors; L2 approximation, Newton´s method, piecewise polynomial approximation, variable boundary approximation, variable breakpoint approximation.;
