Hi Prashanth,
To assign ranks based on the ordinal value of the diagonal elements in a matrix, you can follow the steps outlined below:
- Extract the diagonal elements of the matrix.
- While extracting the diagonal elements, also store their original indices. This is crucial because you will need to map the sorted diagonal elements back to their original positions in the matrix.
- Sort the extracted diagonal elements in ascending (or descending) order. Sorting will help you determine the ordinal ranks of these elements.
- After sorting, assign ranks to the diagonal elements based on their order in the sorted list. The highest element gets the rank of 5 in this case, the next highest gets the rank of 4, and so on.
The below MATLAB code snippet demonstrates the process:
%data
table1 = [1.0000, 0.2727, 0.3182, 0.0455, 0.2727;
0.2727, 0.2727, 0, 0, 0;
0.3182, 0, 0.4545, 0.1818, 0;
0.0455, 0, 0.1818, 0.2727, 0.0909;
0.2727, 0, 0, 0.0909, 0.3636];
table1Size = size(table1);
%extracting the diagonal elements and storing the original indices for the same
diags = [diag(table1) [1:table1Size(1)]'];
%sorting the diagonal elements in descending element
diags = sortrows(diags, 'descend');
%initializing rank with the size of the matrix
rank = table1Size(1);
table2 = zeros(table1Size);
for i = 1 : table1Size(1)
position = diags(i, 2); %extracting the original position of the diagonal element
table2(position, position) = rank; %assigning the rank
rank = rank - 1; %decreamenting the rank for the next diagonal element
end
disp(table2)
Hope this helps!
