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6.27.33  Rational interpolation: thiele

The thiele command finds the rational interpolation.

Instead of a single matrix data, two vectors x=(x1,x2,…,xn) and y=(y1,y2,…,yn) This method computes Thiele interpolated continued function based on the concept of reciprocal differences.

It is not guaranteed that R is continuous, i.e. it may have singularities in the shortest segment which contains all components of the x coordinates.


Examples.


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