A general algorithm for rational interpolation
Degree GrantorUniversity of Canterbury
Degree NameResearch report
A recursive algorithm for the construction of the generalized form of the interpolating rational function is derived. This generalization of the Neville-Aitken algorithm constructs a table of all possible rational interpolants in implicit form. The algorithm may be simply modified so that it does not break down when a singularity occasionally appears. The coefficients of the interpolant and the evaluation of the interpolant at an arbitrary point may be easily calculated.
SubjectsField of Research::01 - Mathematical Sciences
- Engineering: Reports