cvx matlab toolbox for a specific problem

2023 2 28
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i use cvx matlab toolbox to solve a non convex problem and it solved . I give you the code:
n = 3;
l=2*10^5
w=2*10^5
R=1.5
u=1;
a=4*10^(-20);
b=36*10^(-20);
c=36*10^(-20);
h=0.2; %0,4 maximum
cvx_begin
variables x(n) y(n) z(n)
maximize( x(n)+y(n)+z(n)-u*(sum(a * (pow_p(x(1),3)+ pow_p(x(2),3)+pow_p(x(3),3))) +sum((c* (pow_p(z(1),3)+ pow_p(z(2),3)+pow_p(z(3),3))))+ sum((b* (pow_p(y(1),3)+ pow_p(y(2),3)+pow_p(y(3),3)))+h)))
subject to
%x(n)+y(n)+z(n)-u*(sum(a * x(1:n).^3 + b*( y(1:n).^3)+h))=V
x(n)+y(n)+z(n)> 1
0 < x(n)
x(n) < l
0 < y(n)
y(n) < w
y(n)+z(n) < (1/15)*R
z(n) < (1/15)*R
0<z(n)
cvx_end
Can anyone explain if the cvx tool has the potential to solve problems like this? It says that was solved with SDPT3.

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Marianna
Marianna
2023-2-28

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