Mathematics A-Level
Convergence and the gradient condition
What Convergence and the gradient condition means in Mathematics A-Level, as defined for Pearson Edexcel.
Definition of Convergence and the gradient condition
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Reference: Pearson Edexcel
The sequence converges when |g′(x)| < 1 near the root and diverges when |g′(x)| > 1 there, so convergence depends on the gradient of g near the root.
Topics that use Convergence and the gradient condition
- Numerical methods (Pearson Edexcel A-Level)
Related terms
- Bisection and interval narrowing
- change of sign
- Cobweb and staircase diagrams
- cobweb diagram
- Concave up
- Convergence
- divergence
- Failure cases of numerical methods
Using Convergence and the gradient condition in the exam
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