How to input and operate matrices using loop?

I have 1000 matrices with names C1, C2 ...... C1000. I want to input these matrices, using loop, into my function and operate them in this way:

D1 = 0.5*sum(diag((C1)-(C2)*(inv(C2)-inv(C1))))

D2 = 0.5*sum(diag((C2)-(C3)*(inv(C3)-inv(C2))))

.

.

.

Dn = 0.5*sum(diag((Cn)-(Cn+1)*(inv(Cn+1)-inv(Cn))))

Then i want to store the values of D in a vector named Distance.

Distance=[D1,D2,....,Dn]

Can anyone help me?

[David Miller]

You can create arrays to store these matrices. You have a 1000x1 array called D where each row element corresponds to a certain matrix. Row m corresponds to D(m). Same thing with the C matrices. Create an array named C that is 1000x1 where each row element corresponds to a certain C, namely row element m corresponds to matrix C(m).

for i = 1:1000
  D(i,1) = f(C(i,1));
end

Here f is the function you would like to use.

[Umair Khan]

Yes, this works now. Thanks David

[Stephen23]

@Umair Khan: David Miller has given your the correct solution to this task: use arrays and indexing.

You original question was about "input and operate matrices using loop": doing this is a slow and buggy way to write code, and should be avoided (e.g. by using arrays and indexing). Read this to know why:

https://www.mathworks.com/matlabcentral/answers/196952-how-to-create-new-variables-in-batches-with-strcat

[Umair Khan]

@Stephen Cobeldick: The solution of David works fine.

In your suggested page, i found that dynamically creation of variables is bad and we should use, for example, cell arrays. In david's solution we used cell arrays. Means its fine???

[Stephen23]

@Umair Khan: David Miller's solution is good (it should really have been submitted as an answer).

Note that David actually uses numeric array, not a cell array as you state.

Answer 1

[John]

Concatenate all of your matrices to create a 3D array C and index the 3rd dimension using your loop variable i.e. C(:,:,1) would index the matrix C1