staircase diagram
What staircase diagram means in Mathematics A-Level, as defined for Pearson Edexcel, WJEC.
Definitions of staircase diagram
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Reference: WJEC
An iterative path where successive iterations approach the root monotonically from one side, produced when the gradient g'(x) near the root α is positive (0 < g'(α) < 1).
A graphical representation of fixed-point iteration in which successive steps typically approach a fixed point from the same side, producing stair-like steps.
Topics that use staircase diagram
- Numerical methods (Pearson Edexcel A-Level)
- Numerical Methods (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
Related terms
- cobweb diagram
- divergence
- fixed-point iteration
- Newton-Raphson method
- Trapezium rule
- Bisection and interval narrowing
- bounds for the true integral
- change of sign
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