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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 dierent ways we can convert the root nding problem into a xed point problem. 1...
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This note was uploaded on 01/30/2012 for the course MATH 131a taught by Professor Hitrik during the Spring '08 term at UCLA.
- Spring '08