Juraj Hudák, Csaba Török
UPJŠ Košice, Slovakia

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.