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Pade (Rational Function) Approximation

Please also give Matlab solutions to the following problem.

Find the Pade approximation R_(5,4) (x) for f(x) = sin x. Plot the following graphs:

i) Comparison of R_(5,4) (x) versus f(x) = sin x, and
ii) the error E(x) = |R_(5,4) (x) - sin x|,

each on interval [-PI, PI].

Solution Summary

Pade or rational functions are similar to approximations by Taylor polynomials. The method of finding a rational function from a given Taylor polynomial is described and several examples are worked in detail.