1
$\begingroup$

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?

$\endgroup$

1 Answer 1

2
$\begingroup$

You can inspect the (well-commented) code with:

NotebookOpen[
 FileNameJoin[{DirectoryName@
    FindFile["FunctionApproximations`FunctionApproximations`"], 
   "Approximations.m"}]]

Search for "RI[f" (or "GRI[f") and find the following line to see how Bias is implemented:

xx += bias (1 - xx xx);

(The variable xx is the array of Chebyshev nodes.)

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.