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1.9.3 Simple iterative methods (A-level only)

Card 1 of 20

Where does a solution of x=g(x)x=g(x)x=g(x) appear graphically?

A

A fixed point α\alphaα satisfies g(α)=α\boxed{g(\alpha)=\alpha}g(α)=α​.

B

Nearby values usually converge to α\alphaα when ∣g′(α)∣<1\boxed{\lvert g'(\alpha)\rvert<1}∣g′(α)∣<1​.

C

When 0<g′(α)<1\boxed{0<g'(\alpha)<1}0<g′(α)<1​, convergence commonly forms an inward staircase.

D

At an intersection of y=g(x)y=g(x)y=g(x) and y=xy=xy=x.

Card 1 of 20

1.9.3 Simple iterative methods (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.9.3 Simple iterative methods (A-level only)

20 flashcards on OCR A Level Maths 1.9.3 Simple iterative methods (A-level only): the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

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