How To multiply this Formula to run this code Please

Dear Eng.

How I can formulate this as either vectors or numeric only to unify the folmlua

A(i,:) = A(i,:) + h(i)*[0, ones(1,i-1), 0, ones(1,n-i)];

I mean to avoid multipling Numeric by Vector

In order to apply this:

n = 3

h(1) = 0.6;

h(2) = 0.8;

h(3) = 1;

T = 4;

% Objective function: minimize total power transmitted by all users

f = ones(n, 1);

% Inequality constraints: signal-to-interference ratio must exceed threshold

A = zeros(n,n);

b = zeros(n,1);

for i = 1:n

A(i,i) = -h(i);

A(i,:) = A(i,:) + h(i)*[0, ones(1,i-1), 0, ones(1,n-i)];

b(i) = -T*h(i);

end

% Lower bounds: power transmitted by each user must be non-negative

lb = zeros(n,1);

% Solve using linprog

[x, fval] = linprog(f, A, b, [], [], lb);

% Display results

disp('Optimal power transmitted by each user:');

disp(x);

disp(['Minimum total power transmitted: ', num2str(fval)]);

Thank You so much

[Torsten]

How do you want to set the elements of the matrix A ?

The vector

[0, ones(1,i-1), 0, ones(1,n-i)];

has length n+1, thus cannot be a row of the matrix A which has to be mxn.

[Dalia ElNakib]

To set Matrix A to be (3*3) Please

Can you help me in that please? in order to be compatible with the Length of this command

Many Thanks for your cooperation

Answer 1

[MarKf]

The fact that there is the need for a loop for these operations, that b is not simply obtained with b=-T.*h, that [ones(1,i-1), 0, ones(1,n-i)] produces [0 1 1] [1 0 1] [1 1 0] for each iteration and the diagonal value is added to it, I'm guessing that OP simply needs to eliminate the first 0 from that vector. I hope this code is not used to control infrastructure or anything important.

n = 3;
h = [0.6 0.8 1];
T = 4;
A = zeros(n);
b = zeros([n,1]);
for i = 1:n
    A(i,i) = -h(i);
    A(i,:) = A(i,:) + h(i)*[ones(1,i-1), 0, ones(1,n-i)];
    b(i) = -T*h(i);
end

[Dalia ElNakib]

Thank you so much

Really helpful