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Incorrect

82Size
Leading solution size is 72.
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

Test Suite

Test
Code Input and Output
1
Fail
 
%% Haftka & Gurdal, Figure 5.7.1 example
f = @(x) 0.5*x;
g = @(x) 2-x;
x0 = 5;
[xmin,fmin]=sumt_interior(f,g,x0) %#ok<*NOPTS>
xcorrect=2;
assert(norm(xmin-xcorrect)<2e-3)
assert(abs(fmin-f(xcorrect))<1e-3)
Error: Assertion failed.
2
Pass
 
%%
f = @(x) 0.5*x;
g = @(x) 2-x;
x0 = 5;
[xmin,fmin]=sumt_interior(f,g,x0,1) % 1 iteration for unit penalty value
xr1=4;
assert(norm(xmin-xr1)<1e-4)
assert(abs(fmin-f(xr1))<1e-4)
xmin =
     4
fmin =
     2
3
Pass
 
%% Vanderplaats, Figure 5-4 example
f = @(x) sum(x);
g = @(x) [x(1) - 2*x(2) - 2
          8 - 6*x(1) + x(1).^2 - x(2)];
x0 = [3; 3];
[xmin,fmin]=sumt_interior(f,g,x0,1) % 1 iteration
xr2=[1.8686
     2.1221];
assert(norm(xmin-xr2)<1e-2)
assert(abs(fmin-f(xr2))<1e-2)
xmin =
    1.8686
    2.1221
fmin =
    3.9906
4
Fail
 
%%
f = @(x) sum(x);
g = @(x) [x(1) - 2*x(2) - 2
          8 - 6*x(1) + x(1).^2 - x(2)];
x0 = [2.1; 0.1];
r  = 2^12;
[xmin,fmin]=sumt_interior(f,g,x0,r) % Final iteration
xcorrect=[2; 0];
assert(norm(xmin-xcorrect)<5e-3)
assert(abs(fmin-f(xcorrect))<2e-3)
Error: Assertion failed.