Bisection Method
by:
Engr. Donnalyn C. Cabaces
May 2020
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Bisection Method: Finding Roots of Continuous Functions, Lecture notes of Calculus for Engineers
The Bisection Method is a root-finding algorithm that uses the intermediate value theorem to approximate the root of a continuous function. the method, the conditions for its application, and how to implement it.
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2019/2020
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Bisection Method
by: Engr. Donnalyn C. Cabaces May 2020
- (^) If a function f(x) is continuous between a and b, and f(a) and f(b) are of opposite signs then there exists at least one root between a and b. Let f(a) be negative and f(b) be positive, then the root lies between a and b and the approximate value is given by Xo =(a+b)/
In choosing initial values of a and b, make sure that f(a) is negative and f(b) is positive. Why? Because f(x) = 0 will be between f(a) and f(b).