12-12-2012, 05:58 PM
Newton Raphson Method
Newton_Raphson_Method-1.pptttttttt.ppt (Size: 220 KB / Downloads: 35)
This is a fixed point estimation method and you need to use an estimate of the root as a starting point.
Start with an estimate,x1, for a root of f(x)=0.
Draw the tangent to the curve at this point and take the point where this tangent crosses the x axis as the next estimate, x2.
Then use excel to calculate the values involved with the iteration.
Be careful with the formulas.
Choose the starting value carefully – either end of the interval – but still be careful!
Failure of Newton Raphson
Poor choice of starting value
If your initial starting value is not close to the root or near a turning point it may diverge away from the root. It may converge on another root, but this is classed as failure if it is not the root you wanted to find.