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The Bisection method is based on the principle that a continuous function which is positive at one point x- a and negative at another point x -b has a root zero) at some point x = c in the interval a

The Bisection method is based on the principle that a continuous function which is positive at one point x- a and negative at another point x -b has a root zero) at some point x = c in the interval a

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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16. The Bisection method is based on the principle that a continuous function which is positive at one point x a and negative at another point x b has a root zero) at some point x =c in the interval a <c< b and that the point a+b which bisects the interval (a, b), is a reasonable approximation of c. Starting with the two points a = 2, b = 3, application of the bisection method on the function x3 - 3x - 3 gives the value after the third bisection pracess. (a) x3 = 2.215 (b) x3 = 2.115 (c) x3 = 2.125 (d) x3 = 2.225
Transcribed Image Text:16. The Bisection method is based on the principle that a continuous function which is positive at one point x a and negative at another point x b has a root zero) at some point x =c in the interval a <c< b and that the point a+b which bisects the interval (a, b), is a reasonable approximation of c. Starting with the two points a = 2, b = 3, application of the bisection method on the function x3 - 3x - 3 gives the value after the third bisection pracess. (a) x3 = 2.215 (b) x3 = 2.115 (c) x3 = 2.125 (d) x3 = 2.225
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