Numerical Methods Flashcards
1
Q
How do you know a root lies between two points
A
There is a change in sign and the graph is continuous between two points
2
Q
When do you stop iteration
A
Value doesn’t change
Value doesnt change within 1 dp or sig fig greater than required
3
Q
How do you get an iterative formula
A
Make f(X) =0
Rearrange to get x=g(X)
4
Q
How do you know if a graph will produce a staircase or cobweb
A
If gradient of graph is - ve whne it meets x=y then cobweb
If +ve then staircase
5
Q
How can you tell if a graph will converge in a staircase/ cobweb diagram
A
Gradient is between - 1 and 1 where it meets y=x
