MATLAB: Formula for setting Diagonals

sparsesyntax

Basically, I'm creating a very large matrix (1000000 x 1000000) in which I will do operations such as finding eigenvalues on. Only certain diagonals are used, and they all follow simple formulas.
The main diagonal is just A(i,i) = 2 * i
I figured that I need to use a sparse matrix, but I don't know how to set the diagonal efficiently. A while loop that iterates through the diagonals and sets each element takes an EXTREMELY long time
Is there something along the lines of diag(2*i) or some effective formulated way to this?

Best Answer

"A = spdiags(B,d,A) replaces the diagonals specified by d with the columns of B. The output is sparse."