Unformatted text preview: 2) 10 = 1 / 1024 < 10-3 . However | p n-p | = 1 /n < 10-3 requires that n > 10 3 . Notice that we are in a situation where the residual is very small while the error is relatively quite large. As we discussed in section this is because the function has 9 derivatives which are zero at the root, so the residual decreases like the error to the tenth power near the root. 6. Do some algebra. Note that there are many diﬀerent ways we can convert the root ﬁnding problem into a ﬁxed point problem. 1...
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- Spring '08
- Math, Complex number, Feldman, Bisection Method, error estimate