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Fixed Point Iteration | Year 2 Pure | A Level Maths

Fixed point iteration solves an equation x = f(x) by repeatedly applying f to a starting value. In this lesson you will learn how to use iterations of the form x_(n+1) = f(x_n) to find a root, draw associated cobweb and staircase diagrams to show convergence in geometrical terms, and recognise when an iteration will fail to converge. The technique illustrates that many problems can only be solved numerically to a required level of accuracy.

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Lesson Video On Fixed Point Iteration

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Lesson Resources For Fixed Point Iteration

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