Question

Use the fixed point iteration method to find a root for the function g(x)=2^(-x) in the...

Use the fixed point iteration method to find a root for the function g(x)=2^(-x) in the interval [0,1] with an error of 0.03%

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
fixed point iteration method solve x^2+3x-18
fixed point iteration method solve x^2+3x-18
Find n for which the nth iteration by the fixed point method is guaranteed to approximate...
Find n for which the nth iteration by the fixed point method is guaranteed to approximate the root of f(x) = x − cos x on [0, π/3] with an accuracy within 10−8 using x0 = π/4 Answer: n = 127 iterations or n = 125 iterations. Please show work to get to answer
Apply fixed-point iteration to find the smallest positive solution of sin x = e −0.5x in...
Apply fixed-point iteration to find the smallest positive solution of sin x = e −0.5x in the interval [0.1, 1] to 5 decimal places. Use x0 = 1 and make sure that the conditions for convergence of the iteration sequence are satisfied.
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) = 0 has a unique solution x = b in the interval (−1/2, 0), and you can use this without justification. (a) Show that Newton's method of starting point x0 = 0 gives a number sequence with b <··· <xn+1 <xn <··· <x1 <x0 = 0 (The word "curvature" should be included in the argument!) (b) Calculate x1 and x2. Use theorem 2 in section...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) = 0 has a unique solution x = b in the interval (−1/2, 0), and you can use this without justification. (a) Show that Newton's method of starting point x0 = 0 gives a number sequence with b <··· <xn+1 <xn <··· <x1 <x0 = 0 (The word "curvature" should be included in the argument!) (b) Calculate x1 and x2. Use theorem 2 in section...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) = 0 has a unique solution x = b in the interval (−1/2, 0), and you can use this without justification. (a) Show that Newton's method of starting point x0 = 0 gives a number sequence with b <··· <xn+1 <xn <··· <x1 <x0 = 0 (The word "curvature" should be included in the argument!) (b) Calculate x1 and x2. Use theorem 2 in section...
Newton's method: For a function ?(?)=ln?+?2−3f(x)=ln⁡x+x2−3 a. Find the root of function ?(?)f(x) starting with ?0=1.0x0=1.0....
Newton's method: For a function ?(?)=ln?+?2−3f(x)=ln⁡x+x2−3 a. Find the root of function ?(?)f(x) starting with ?0=1.0x0=1.0. b. Compute the ratio |??−?|/|??−1−?|2|xn−r|/|xn−1−r|2, for iterations 2, 3, 4 given ?=1.592142937058094r=1.592142937058094. Show that this ratio's value approaches |?″(?)/2?′(?)||f″(x)/2f′(x)| (i.e., the iteration converges quadratically). In error computation, keep as many digits as you can.
Using Matlab, find an approximation by the method of false position for the root of function...
Using Matlab, find an approximation by the method of false position for the root of function f(x) = ex −x2 + 3x−2 accurate to within 10−5 (absolute error) on the interval [0,1]. Please answer and show code. Pseudo Code for Method of False Position: Given [a,b] containing a zero of f(x); tolerance = 1.e-7; nmax = 1000; itcount = 0; error = 1; while (itcount <=nmax && error >=tolerance) itcount = itcount + 1; x= a - ((b-a)/(f(b)-f(a)))f(a) error =abs(f(x));...
consider solving x=cos(x) using fixed point iteration to find p, the fixed point. Show that the...
consider solving x=cos(x) using fixed point iteration to find p, the fixed point. Show that the convergence is linear for any starting value p0 sufficiently close to p.
Find the fixed point of e-e^(x) to within 0.1 by using xed point iteration.
Find the fixed point of e-e^(x) to within 0.1 by using xed point iteration.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT