How do I make this function check error tolerance and the max number of iterations?
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This is the code I have so far
function [y,N] = sine_taylorN(x,es)
% This function evaluates the Taylor's series (Maclaurin's
% series) of the sine function evaluated at x and determines the number of
% terms required for convergence based on relative error.
% Inputs/Output:
% x = scalar value to be evaluated at
% es = stopping criterion requited for relative error in %
% N = number of terms required in the series for convergence
% to relative error accuracy of es
% y = approximate value of sine(x) by Maclaurin's series
y = 0; er = 100; k = 0; % Initializations
yexact = sin(x);
while er >= es
k = k +1;
y = y + (-1)^(k+1)*x^(2*k-1)/factorial(2*k-1);
er = abs((yexact-y)/yexact)*100; % relative error in percentage
end
N = k;
1 commentaire
Walter Roberson
le 8 Sep 2016
First you need to define what the maximum number of iterations is, and what the behavior is to be if the maximum number is exceeded.
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