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How does Bias adjust Chebyshev nodes in RationalInterpolation?

A Alomar, Kuwait University
Posted 4 years ago

How does the Bias parameter adjusts Chebyshev nodes in RationalInterpolation of the Function Approximation Package? What is the mathematical mapping/formula applied in the Bias adjustment from -1 1 for the Chebyshev nodes?
POSTED BY: A Alomar
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I was looking for the mathematical relation. Micheal E2 replied in the Mathematica Stack exchange as https://mathematica.stackexchange.com/questions/216143/how-does-the-bias-parameter-adjusts-chebyshev-nodes-in-rationalinterpolation-of

xx += bias (1 - xx xx);

I was using a similar relation in my calculations.

Thanks
POSTED BY: A Alomar
Anonymous User
Anonymous User
Posted 4 years ago

Did you read this? I feel strongly it has the answer. Bias is 0 by default but carries through all functions as a parameter. It is used often as a boundary test.

/Applications/Mathematica.app/Contents/AddOns/Packages/FunctionApproximations/Approximations.m
POSTED BY: Anonymous User
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