Interpolating spline based data smoothing
doc. RNDr. Csaba Török, CSc.
Ústav informatiky, PF UPJŠ
Though B-splines are the standard objects and tools both in the spline theory and in its application fields, for researchers the interpretation of the abstract control values as model coefficients presents an issue. Based on a recently uncovered relationship for computation of the inverse of tridiagonal matrices, we derive an explicit matrix form for interpolating cubic splines, whose function value parameters are naturally interpreted. The technique, which is applicable for both uniform and nonuniform splines, is demonstrated by fitting and forecasting real data.