Fixed point
What Fixed point means in Mathematics A-Level, as defined for Pearson Edexcel, WJEC.
Definitions of Fixed point
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Reference: WJEC
A value alpha satisfying g(alpha)=alpha; it is an intersection of y=g(x) and y=x and may be the limit of a fixed-point iteration.
A value \(\alpha\) for which \(\alpha=g(\alpha)\). Graphically, it is an intersection of \(y=g(x)\) and \(y=x\).
A value α that is unchanged by a recurrence, so α=g(α).
Topics that use Fixed point
- Numerical methods (Pearson Edexcel A-Level)
- Overarching themes - Mathematical problem solving (WJEC A-Level)
Related terms
- change of sign
- Concave up
- Convergence
- Iteration
- Newton-Raphson method
- Trapezium rule
- accuracy and rounding
- algebraic modelling
Using Fixed point in the exam
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