Pade Approximation VI

Owning Palette: Rational Polynomial VIs

Requires: Full Development System

Determines the coefficients of a rational polynomial to best suit a given set of derivatives.

Details  

 Add to the block diagram  Find on the palette
Derivatives is the array that describes the derivatives of the given function.
m specifies the degree of the Numerator polynomial.
n specifies the degree of the Denominator polynomial.
Numerator returns the numerator polynomial coefficients in ascending order of power.
Denominator returns the denominator polynomial coefficients in ascending order of power.
error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Pade Approximation Details

Let f be a given function with known derivatives and values

f(0), f´(0), …, f (m + n)(0)

There is a unique rational polynomial

m n

with

R(0) = f(0), R´(0) = f´(0), …, R(m + n)(0) = f (m + n)(0)

The rational polynomial can be determined by solving a special linear equation.