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    Pade (Rational Function) Approximation

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    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].

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    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.