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mws_com_nle_txt_bisection_examples

# mws_com_nle_txt_bisection_examples - Chapter 03.03...

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Chapter 03.03 Bisection Method of Solving a Nonlinear Equation – More Examples Computer Science Example 1 To find the inverse of a value , one can use the equation a 0 1 ) ( c a c f where c is the inverse of . a Use the bisection 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 1 ac 1 5 . 2 c Let us assume 1 , 0 u c c Check if the function changes sign between and . c u c   1 1 ) 0 ( 5 . 2 0 f c f 5 . 1 1 ) 1 ( 5 . 2 1 f c f u Hence       0 5 . 1 1 1 0 f f c f c f u So there is at least one root between and , that is, between 0 and 1.

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mws_com_nle_txt_bisection_examples - Chapter 03.03...

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