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Unformatted text preview: Compare your new results to those found using the bisection method. Which method is converging faster? False position — with values quoted correct too 4d.p. n 1 2 3 4 5 a n . 5556 0 . 9955 1 . 3048 1 . 4949 b n 3 3 3 3 3 p n . 5556 0 . 9955 1 . 3048 1 . 4949 1 . 6004 f ( a n )f ( b n ) + + + + + f ( p n )Our ﬁnal false position estimate is p 6 = 1 . 6555 correct to 4d.p. which has a rather larger error! In this case bisection seems to be converging faster to the root p ≈ 1 . 7100 MATH2051 Homework 1 20101018...
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This note was uploaded on 02/09/2011 for the course MATH 2051 taught by Professor Dr.a.wacher during the Fall '11 term at Durham.
 Fall '11
 Dr.A.Wacher
 Numerical Analysis

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