Newton-Raphson method
What Newton-Raphson method means in Mathematics A-Level, as defined for Pearson Edexcel, WJEC.
Definitions of Newton-Raphson method
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Reference: WJEC
Uses tangent lines to generate root approximations, with the formula xₙ₊₁ = xₙ − f(xₙ)/f'(xₙ).
An iterative root-finding method using xₙ₊₁ = xₙ − f(xₙ)/f′(xₙ), based on successive tangent x-intercepts.
An iterative root-finding method using the x-intercept of the tangent to y=f(x) at the current estimate.
Topics that use Newton-Raphson method
- Numerical methods (Pearson Edexcel A-Level)
- Numerical Methods (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
- Overarching themes - Mathematical problem solving (WJEC A-Level)
Related terms
- Trapezium rule
- change of sign
- cobweb diagram
- Concave up
- Convergence
- divergence
- Fixed point
- fixed-point iteration
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