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Pade Approximation (Not in Base Package)

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

m is the degree of the polynomial of the numerator.
n is the degree of the polynomial of the denominator.
C[0..m+n] is the array describing the first derivatives of the given function.
A[0..m] is the polynomial of the numerator.
B[0..n] is the polynomial of the denominator.
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

f0, f´0, …, f (n + m)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.


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