Bisection method and the newton method, Mathematics

1. Write two m-files, one for the bisection method and another for Newton's method.

2. Using both the Bisection method and the Newton method answer the following:

Include the commands you typed into Matlab

a) Find the root to 3, 5, and 8 decimal places of f(x) = x2- 2 starting with an initial approximation of x=1.

b) How many steps did it take for the bisection method to find the root to 3, 5, and 8 decimal places?

c) How many steps did it take for the Newton method to find the root to 3, 5 and 8 decimal places?

3. Use Newton's method to find all the real roots of f(x) = x5+ x4 -4x3 - 3x2- 3x +1

4. Apply Newton's method to the function f(x) = x3 - x with an initial approximation of x=1/√5.  Is the method converging?  What happens?  Explain your answer using the graph of f(x).

5. Use Newton's method on the function (x) = 3√5 . What happens when your initial approximation is not x=0?  Explain your answer using the graph of f(x).

Posted Date: 3/11/2013 3:40:20 AM | Location : United States







Related Discussions:- Bisection method and the newton method, Assignment Help, Ask Question on Bisection method and the newton method, Get Answer, Expert's Help, Bisection method and the newton method Discussions

Write discussion on Bisection method and the newton method
Your posts are moderated
Related Questions
in 2000,nearly 18% of cars in north America were sliver. what percent of the cars sold were not sliver?

Draw a flowchart for accumulated principal at the end of 5 years by taking into account compound interest?

we know that    A^m/A^m=1                    so A^(m-m)=1                    so A^0=1.....

what should added to the sum of (-26) and 31 to make it equal to the sum of (-35) and (-11) question #Minimum 100 words accepted#

Lines EF and GH are graphed on this coordinate plane. Which point is the intersection of lines EF and GH?

The Dolphins football team gained 16 yards on their first play then lost 11 yards on the next play. Write an addition expression to represent this situation.Find the sum an explain

(a)   Specify that  the sum of  the degrees  of all vertices of a graph  is double the number of edges  in  the graph.                            (b)  Let G be a non directed gra


Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system.  Though, as we will see, this is not all time the easie

how do you find the average of a number