Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Math Topics » alt.algebra.help.independent

Topic: Help with Newton Raphson equation
Replies: 1   Last Post: Nov 27, 2012 10:08 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
grei

Posts: 98
Registered: 11/27/12
Re: Help with Newton Raphson equation
Posted: Nov 27, 2012 10:08 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Do you not know what "Newton Raphson" is? You are asked to solve 4x^4- 2x^3+ 5= 0 using Newton Raphson with initial value x= 2.

The "Newton Raphson" method is to, given a starting x_n, find the next x_(n+1)= x_n- f(x_n)/f'(x_n).

Here, f(x)= 4x^4- 2x^3+ 5 and f'(x)= 16x^3- 6x. With x= 2, f(2)= 4(16)- 2(8)+ 5= 64- 16+ 5= 43 and f'(2)= 16(8)- 6(2)= 128- 12= 116.

That is, with x1= 2, x2= 2- 43/116= 1.63.

Now what is x2?



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.