What is the best way to create a vector with a special sequence of subvectors

I have say 100 vectors of equal size (v1 to v100) and I want to create a vector V of the following structure: V=[v1-v2 ;...; v1-v100; v2-v3; ... , v2-v100; .... .... .... ; v98-v99 ; v98-v100; v99-v100]. What is the best way to create V?

[Stephen23]

"What is the best way to create V?"

The Best Way: Simply by store your data in one matrix, then your task requires some basic array manipulation.

The Worst Way: Using numbered variables is a sign that you are doing something wrong. Accessing variable names is one way that beginners force themselves into writing slow, complex, buggy code that is hard to debug:

https://www.mathworks.com/matlabcentral/answers/304528-tutorial-why-variables-should-not-be-named-dynamically-eval

[darova]

Only one idea i have: using for loop. What do you think about it?

Answer 1

[Stephen23]

Store the vectors in one matrix, then you just need to use nchoosek to generate the required indices:

>> M = randi(9,5,3) % each row = one vector
M =
   5   6   9
   9   2   5
   4   5   1
   4   8   2
   9   6   6
>> X = nchoosek(1:size(M,1),2);
>> Z = M(X(:,1),:) - M(X(:,2),:)
Z =
  -4   4   4
   1   1   8
   1  -2   7
  -4   0   3
   5  -3   4
   5  -6   3
   0  -4  -1
   0  -3  -1
  -5  -1  -5
  -5   2  -4