Iterative Methods (AQA GCSE Maths): Flashcards
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Iterative methods definition
Iterative methods definition
Techniques that find solutions by repeating calculations, getting closer to the answer each time
When iterative methods are used
When iterative methods are used
When equations too complex for standard algebraic methods
Sign change indicates
Sign change indicates
Solution exists between those two values
Decimal search method
Decimal search method
Systematically test values with increasing precision to narrow solution location
Decimal search precision steps
Decimal search precision steps
Test 1 d.p., find sign change, narrow, then 2 d.p., repeat
Iteration machine method
Iteration machine method
Rearrange equation, repeatedly substitute for better approx.
Stopping criteria for iteration
Stopping criteria for iteration
Consecutive values round to same at required precision
Do all rearrangements converge?
Do all rearrangements converge?
No, some may diverge instead