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can anybody help me with this
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Consider the two equations
p = cos(p), p = sin(p)
with solutions 0.7390851332151607 (approximately) and 0 respectively. Implement three programs for
the solution of these two equations.
(a) Fixed point iteration: pk+1 = g(pk).
(b) Fixed point iteration with Aitken acceleration.
(c) Steffensen’s acceleration.
In each case, begin with p0 = .5. Terminate when |pk − cos(pk)| < 10−12 or |pk − sin(pk)| < 10−12.
Comment on the number of iterations required in each case.
2. Use the theorems from class to answer and explain the following: Do you expect fixed point iteration
:rolleyes:i try to write this problem in c++ but didn't work can somebody please help me with this. thank you
p = cos(p), p = sin(p)
with solutions 0.7390851332151607 (approximately) and 0 respectively. Implement three programs for
the solution of these two equations.
(a) Fixed point iteration: pk+1 = g(pk).
(b) Fixed point iteration with Aitken acceleration.
(c) Steffensen’s acceleration.
In each case, begin with p0 = .5. Terminate when |pk − cos(pk)| < 10−12 or |pk − sin(pk)| < 10−12.
Comment on the number of iterations required in each case.
2. Use the theorems from class to answer and explain the following: Do you expect fixed point iteration
:rolleyes:i try to write this problem in c++ but didn't work can somebody please help me with this. thank you
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Join Date: Aug 2005
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No one is gonna write that for you.
Read this:
http://math.fullerton.edu/mathews/n2...fensenMod.html
Read this:
http://math.fullerton.edu/mathews/n2...fensenMod.html
*Voted best profile in the world*
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Join Date: Dec 2005
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A pot of gold at the end of the rainbow
> i try to write this problem in c++ but didn't work can somebody please help me with this
Well post it, then we can really start to help you rather than do the work for you (which isn't going to happen), or we make wild guesses as to what your question really is.
> i try to write this problem in c++ but didn't work can somebody please help me with this
Well post it, then we can really start to help you rather than do the work for you (which isn't going to happen), or we make wild guesses as to what your question really is.
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Join Date: Jan 2007
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Junior Poster
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Originally Posted by live_atl 
Consider the two equations
p = cos(p), p = sin(p)
with solutions 0.7390851332151607 (approximately) and 0 respectively. Implement three programs for
the solution of these two equations.
(a) Fixed point iteration: pk+1 = g(pk).
(b) Fixed point iteration with Aitken acceleration.
(c) Steffensen’s acceleration.
In each case, begin with p0 = .5. Terminate when |pk − cos(pk)| < 10−12 or |pk − sin(pk)| < 10−12.
Comment on the number of iterations required in each case.
2. Use the theorems from class to answer and explain the following: Do you expect fixed point iteration
:rolleyes:i try to write this problem in c++ but didn't work can somebody please help me with this. thank you
Good luck, LamaBot
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