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Fixed point method question

eoins23456 · 2012-04-05 18:57:41

X(n+1)=1/32(21X(n)+14c/X(n)^3-3c^2/X(n)^7) Given one fixed point c^1/4, I asked to find the other fixed point B of this method and show that X(n) will never converge to B unless X(n)=B. I found B to be (3c/11)^4 but dont know how to show that X(n) wont converge to B Any help appreciated thanks.

05-04-2012 6:57pm

#1

eoins23456

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X(n+1)=1/32(21X(n)+14c/X(n)^3-3c^2/X(n)^7)
Given one fixed point c^1/4, I asked to find the other fixed point B of this method and show that X(n) will never converge to B unless X(n)=B. I found B to be (3c/11)^4 but dont know how to show that X(n) wont converge to B
Any help appreciated thanks.

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