mws_com_nle_txt_newton_examples

mws_com_nle_txt_newton_examples - Chapter 03.04...

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Chapter 03.04 Newton-Raphson Method of Solving a Nonlinear Equation – More Examples Computer Science Example 1 To find the inverse of a number , one can use the equation a 0 1 ) ( c a c f where c is the inverse of . a Use the Newton-Raphson method of finding roots of equations to find the inverse of 5 . 2 a . Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error at the end of each iteration and the number of significant digits at least correct at the end of each iteration. Solution 0 1 ) ( c a c f  2 1 c c f  c f c f c c i i i ) ( 1 2 1 1 i i i c c a c i i i c a c c 1 2 i i i c a c c 2 a c c i i 2 2 Let us take the initial guess of the root of   0 c f as 5 . 0 0 c . 03.04.1
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03.04.2 Chapter 03.04 Iteration 1 The estimate of the root is a c c c 2 0 0 1 2 = ) 5 . 2 ( ) 5 . 0 ( ) 5 . 0 ( 2
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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mws_com_nle_txt_newton_examples - Chapter 03.04...

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