Newton-Raphson Method - MC Prime 8

[Cornel]

Hello,

MC Prime 8 file attached.

Thank you.

[AlanStevens]

As Newton-Raphson is essentially numeric there is little point in using a symbolic equals.  Just stick with numerics.

Here is my equivalent using Mathcad 8 Express:

Alan

[ttokoro · Accepted solution]

Chage xi-1 - and -> to = 

[Werner_E]

As Alan I am asking what the idea of a symbolical evaluation of the intermediate results of a numerical approximation algorithm might be!!

Whats wrong with

BTW you had a wrong sign in your implementation of the Newton algorithm. See Alan's approach for a correction.

Here is the (unsimplified) symbolic result with four iteration steps.

Are you sure that you really want to see the result for 5 or more steps? 🙂

Using "simplify" or "simplify, max" may give you a more compact result at the cost of a lot of coffee to drink while  waiting for the calculation to finish.

But again, what's the sense of displaying those results symbolically?

[Werner_E]

If you really need to see the symbolic representation of the fifth iteration step, here it is

And for an exact symbolic result

😄

[Cornel]

So, Thank you all for your comments and vigilance. It's fine and enough in this case to display results in numerical form.
Thank you.