What is the convergence condition for the fixed point iteration method?
a) [g'(x) <1
b) |g'(x) > 1
c) g'(x) = 1
d) ]g"(x) > 1
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By the previous theorem the sequence (xn) defined by xn+1 = (1 + xn)1/5 converges to a root of x5 − x − 1 = 0 in the interval [0,2]. ... The previous theorem essentially says that if the starting point is sufficiently close to the fixed point then the chance of convergence of the iterative process is high.
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