summation operation for a matrix?

Hello everyone,

I have a matrix with dimensions 36x36. what i want to is this;

x(1,1)+x(1,2)+...+x(1,36) +x(2,1)+x(3,1)+x(4,1)+...+x(36,1) <= (somevalue)

I am using genetic algorithm solver. For another constraint i have, i did this;

con.sumrows=(sum(x,1)<=1);

Is there any simple solution for i want like above line? suggestions are welcomed.

Thank you in advance.

Answer 1

[Voss]

x = (1:36)+(1:36).' % some 36-by-36 matrix

x = 36×36

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

% add first row and first column (exlcuding first element)
sum(x(1,:))+sum(x(2:end,1))

ans = 1402

% or add first row and first column then subtract first element because it
% was included twice
sum(x(1,:))+sum(x(:,1))-x(1,1)

ans = 1402

[Azime Beyza Ari]

thank you for your answer!

Yes it does what i want. But there is my fault by not explanin clearly. It should do it for the first index but it should also do it for other 35 index. How can i do that?

[Torsten]

I have a matrix with dimensions 36x36. what i want to is this;

x(1,1)+x(1,2)+...+x(1,36) +x(2,1)+x(3,1)+x(4,1)+...+x(36,1) <= (somevalue)

You don't have this matrix.

You must construct the matrix which implements this constraint.

In the matrix I set up for the other constraint, just set the ones at the correct positions, and you'll get the above constraint implemented:

https://de.mathworks.com/matlabcentral/answers/1687409-dependent-variable-operations?s_tid=srchtitle

There is no simpler way to do so.

You can have a look here for a simple example:

https://de.mathworks.com/matlabcentral/answers/1688434-how-can-i-define-a-lower-bound-of-the-lp?s_tid=srchtitle

[Azime Beyza Ari]

Yes, i tried that but since my objective function only uses 1296 variable adding y's to Z caused too much error. Instead i wanted to eliminte y and work on x's. Since the whole idea behind y's are being equal to x's summation.