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This document demonstrates the implementation of the secant method to find the root of a polynomial function using matlab. The function f(x) = x^3 - 2x - 5 is used as an example, and the secant method is applied iteratively to find the root with an accuracy of 10 iterations. The code prints out the root and the error at each iteration.
Typology: Exercises
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clc; f=@(x) x^3-2*x-5; a=2; b=3;
for i=1: x0=a; x1=b; fprintf('\n Hence root lies between (%.4f,%.0f)',a,b) x2(i)=x0-(x1-x0)/(f(x1)-f(x0))*f(x0); if f(x2(i))> b=x2(i); else a=x2(i); end fprintf('\n Therefore, x2=%.4f \n Here, f(x2)=%.4f',x2(i),f(x2(i))) p=x2(i); end for i=1: error(i)=p-x2(i); end Answer=p
