Simple rational approximation: Difference between revisions

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==Halley's formula==

The origin of the interpolation with rational functions can be found in the previous work done by [[Edmond Halley]]. The HelleyHalley's formula is known as one-point third-order iterative method to solve <math>\,f(x)=0</math> by means of approximating a rational function defined by

:<math>h(z)=\frac{a}{z+b}+c.</math>

We can determine a, b, and c so that