9.10 INTERPOL Operator

Syntax:

where 〈values⟩ and 〈points⟩ are lists of equal length and <variable> is an algebraic expression (preferably a kernel).

interpol generates an interpolation polynomial f in the given variable of degree length(〈values⟩)-1. The unique polynomial f is defined by the property that for corresponding elements v of 〈values⟩ and p of 〈points⟩ the relation \(f(p)=v\) holds.

The Aitken-Neville interpolation algorithm is used which guarantees a stable result even with rounded numbers and an ill-conditioned problem.

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