Have you been given a starting point for ?
If so then
and so on...
Hi! We're doing Newton's method and I'm SO LOST! Lecturer only gave one example. Can anyone help me with the following question so I can compare? Don't know where to start! Annotations through your workings would be greatly appreciated. Thanks!!
Consider the solution of the following nonlinear equation using Newton's method.
After two iterations, using ten digit floating point arithmetic, the estimated solution is: x2 =0.2845382540
Using Newton's method find the next estimate of the solution and use this to determine an estimate of the error in x2.
Maintain at least TEN significant digits throughout all your calculations.
When entering your results you may round your answers to eight decimal digits.
Gor the sequence of iterations to converge you have to find a point close to the solution. I would start at somewhere between 0 & 1because by looking at these functions separately I can see they intersect on that interval.
Spoiler: