Files
OctaveFunctions/Secant.m

31 lines
676 B
Matlab

function [xList, errorList] = Secant(f, p0, p1, errorAllowed)
%
%Secant(f, p0, p1, errorAllowed)
%This function find the root of a function using the Secant Method
%
pkg load symbolic;
warning('off','OctSymPy:sym:rationalapprox');
maxIt = 50;
cnt = 2;
q0 = double(subs(f,p0));
q1 = double(subs(f,p1));
currentError = errorAllowed + 1;
p = 0;
while((cnt <= maxIt) && (currentError >= errorAllowed))
p = p1 - (q1 * (p1 - p0))/(q1 - q0);
currentError = abs(p - p1);
%Add the x and error values to memory
xList(end+1) = p;
errorList(end+1) = currentError;
%Setup for the next run
++cnt;
p0 = p1;
q0 = q1;
p1 = p;
q1 = double(subs(f,p));
end
end