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As there is no direct function for the bisection rule in MATLAB, we define the code or logic for it manually. The bisection method is used to find the root of any polynomial function. For this example, we will input the following values:Īs we can see in the output, we have obtained the root of our input function as 1.7344, after we input our guess values for the first time. We will use the code above and will pass the inputs as asked. In this example, we will take a polynomial function of degree 2 and will find its roots using the bisection method. Next, let us see an example where we are not asked for the guess values the second time Example #3
The code will again ask for firstValue and endValueĪs we can see in the output, we have obtained the root of our input function as 2.5.Pass the input function as 3*x.^3 + 2*x.^2.For this example, we will input the following values: In this example, we will take a polynomial function of degree 3 and will find its roots using the bisection method. Pass the firstValue as 2 and endValue as 3 this timeĪs we can see in the output, we have obtained the root of our input function as 2.5.If the root does not lie between 1 & 2, then the code will again ask for firstValue and endValue.For our first example, we will input the following values: If f (endValue) * f (iter1)If f (endValue) * f (initialValue) 0 i.e, the product f (endValue) * f (iter1) is positive, then the root of input function will lie between the range. ĪllowedError = input ('Enter the error allowed:').