Multiple plots in one iterative script

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Matty Student
Matty Student on 19 Oct 2022
Answered: Vishesh on 25 Oct 2022
I'm trying to plot two graphs that plot the iterations and respective errors. I'm not sure what I'm doing wrong. Thanks in advance
function BisectMeth(xL, xU, es, itermax)
f = @(x)exp(-x)-x;
xR = xU;
fL = f(xL);
for iter = [1:itermax]
xRold = xR;
xR = (xL +xU)/2;
fR = f(xR);
if xR ~= 0
ea = abs((xR-xRold)/xR)*100;
end
check = fL*fR;
if check <0
xU = xR;
else
if check > 0
xL = xR;
fL = fR;
else
ea = 0;
end
end
if ea < es
break
end
if iter == itermax && ea > es
disp('Max # of iterations reached before acheiving prescribes tolerance')
end
iter = [0:itermax]
AppErr = (xR*ea)/100;
TrueErr = 0.56714329 - xR;
figure(1);
plot(iter,TrueErr);
xlabel('Number of Iterations');
ylabel('True Error');
figure(2);
plot(iter, AppErr);
xlabel('Number of Iterations');
ylabel('Approximate Error');
end
fprintf('Root is %f\n', xR)
fprintf('Approximate error is %f\n',AppErr)
fprintf('True error is %f\n', TrueErr)
end

Answers (1)

Vishesh
Vishesh on 25 Oct 2022
  • Store the values of "AppErr" and "TrueErr" of each iteration together.
  • Plot the graph outside of the iteration.
  • You can use this code for the reference.
function BisectMeth(xL, xU, es, itermax)
f = @(x)exp(-x)-x;
xR = xU;
fL = f(xL);
AppErr=[];
TrueErr=[];
for iter = [1:itermax]
xRold = xR;
xR = (xL +xU)/2;
fR = f(xR);
if xR ~= 0
ea = abs((xR-xRold)/xR)*100;
end
check = fL*fR;
if check <0
xU = xR;
else
if check > 0
xL = xR;
fL = fR;
else
ea = 0;
end
end
if ea < es
break
end
if iter == itermax && ea > es
disp('Max # of iterations reached before acheiving prescribes tolerance')
end
AppErr = [AppErr (xR*ea)/100];
TrueErr = [TrueErr 0.56714329 - xR];
end
iter=1:itermax;
figure(1);
plot(iter,TrueErr);
disp(iter);
disp(TrueErr);
xlabel('Number of Iterations');
ylabel('True Error');
figure(2);
plot(iter, AppErr);
xlabel('Number of Iterations');
ylabel('Approximate Error');
fprintf('Root is %f\n', xR)
fprintf('Approximate error is %f\n',AppErr)
fprintf('True error is %f\n', TrueErr)
end

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