The Newton-Raphson Method
Learn and apply the Newton-Raphson method, an iterative process that uses tangents to the curve to find successively better approximations to a root of f(x) = 0.
About This Topic
Learn and apply the Newton-Raphson method, an iterative process that uses tangents to the curve to find successively better approximations to a root of f(x) = 0.
Key Questions
- Explain the geometric interpretation of the Newton-Raphson method.
- Analyse the cases where the Newton-Raphson method might fail to find a root, such as when the initial approximation is near a turning point.
- Compare the rate of convergence of the Newton-Raphson method with that of fixed-point iteration.
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