How Store a set of Matrices independently after each iteration is done in a for loop.

Hello Matlab again, I am going to ask my question more accurately this time. I am trying to modify an existing code to where I have a set of matrices saved independently after each iteration is complete. The Matrix that I need to be saved each time is 3D ( MN(:,:,14680). it has 14680 of (5*5) matrices stacked up in it. So basically if my outside loop iterates for 5 times, I need to get 5 MN matrices as output saved (MN1, MN2, MN3,MN4, and MN5). I attached a more simplified version of my code ( I tried using "cat" but did not work correctly

)

function [MNPr1,MSA1,MSA1Trans] = Prb_Trans_CR7(X, Lam,Y,UnitArea,n,m)

Xv=X for k=1:2;

    X(:,2)=X(:,2)+k; %Incrementally increase all values in X(:,2) by 1
[Mtest,MN, MN1, MN2, MN3, Mtest1, Mtest2] = Predict_all( X,Lam,Y)
[ MS1, MS2,MS3,MSA1,MSA2, MSA3, MSA ] = MatrixCountnew(Mtest1,Mtest2, MN1, MN2, MN3,Y,UnitArea,n)
MNPr1= cat(4,MN1) %For every iteration, I must have one MNPr1 that has MN1 matrix stored in it
MSA1Trans(k)=cat(4,MSA1); % Stores all the MSA1 matrices after each iteration. 
X=Xv;% Must reset the values of X(:,2) to original X(:,2) before next iteration starts.
end

Answer 1

[Jos (10584)]

Do not create names like MN1, MN2 etc. What if you have a 1000 matrices likes this? They are all related,, but have different variable names which makes coding very hard ...

If each output is a 3D matrix of the same size, you can stack them in a 4D matrix.

for k=1:5,
   MN(:,:,:,k) = rand(2,3,4) ;
end

To access an individual matrix:

CurrentMN = MN(:,:,:,3)

If they are not of the same size, or if you do not want to deal with 4 dimensions, you can try a structure or cell array

for k=1:5,
   MNstruct(k).values = rand(2,3,2*k) ;
   MNcell{k} = rand(2,4,k+1) ;
end

To access an individual matrix:

     MNstruct(2).values
     MNcell{4}

[Amine Ben Ayara]

Hello Jos, and thank you so much for taking the time to answer. Very helpful input you gave me. So I get how to store matrices within a 4D matrix, but how and where do you think in my code I should make the modification in order to store a set of MN every time an iteration happens. For example, 5 iterations ( i=1:5; the Final 4D matrix should contain 5 sets of MN so I have a specific MN as an output by the end of each loop. Do I make any sense? haha Thank you so much