RBF Interpolation Fails: LinAlgError: Singular Matrix

I have some scattered 1-d data sets and I want to interpolate with rbf function by using scipy.interpolate.Rbf function. However, for a specific set of data it seems that the inter

Solution 1:

As @moarningsun has already pointed out, every x-value must not equal any other x-value.

The same holds for multidimensional data. No n-dimensional sampling point (i.e. data location point) may appear twice.