Mathematics A-Level
convergence condition |g'(x)| < 1
What convergence condition |g'(x)| < 1 means in Mathematics A-Level, as defined for WJEC.
Definition of convergence condition |g'(x)| < 1
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Reference: WJEC
If |g'(α)| > 1 the iteration diverges away from the root, so convergence depends on the gradient of g(x) near the root.
Topics that use convergence condition |g'(x)| < 1
- Numerical Methods (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
Related terms
- bounds for the true integral
- cobweb diagram
- contextual problem solving
- divergence
- failure of sign change
- fixed-point iteration
- Intermediate value theorem
- Newton-Raphson method
Using convergence condition |g'(x)| < 1 in the exam
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