how can I use Newton's method to find the extremum with error < 10^-4 ?

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Geir
Geir 2013-10-15
编辑： Nishitha Ayyalapu 2013-10-15
f = @(x) 20.*exp(-(x-4).^4) + 6.*sin((pi./7).*x) + 0.4.*x + 20 ;
df = -80.*exp(-(x-4).^4).*((x-4).^3) + ((6./7).*pi).*cos((pi./7).*x) + 0.4 ;

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Nishitha Ayyalapu
Nishitha Ayyalapu 2013-10-15
编辑：Nishitha Ayyalapu 2013-10-15
These functions can do the job: Derivative-free approach:
fminsearch
Derivate based approach
fminunc
You can find more about the available optimization tools here:
http://www.mathworks.com/help/optim/functionlist.html
http://www.mathworks.com/help/matlab/optimization.html
Hope this helps!!

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