Hankel matrix, random entries
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i have a hankel matrix X:
row1 = 1:n;
col1 = (n+1):(2*n-1);
% Create the full-rank Hankel matrix of size n^2
H_full = hankel(row1, col1);
% Compute the low-rank approximation
[U,S,V] = svd(H_full);
U = U(:, 1:r);
S = S(1:r, 1:r);
V = V(:, 1:r);
X = U*S*V';
and i want to select random anti digonals and let them in a set called omega
for example i have 5×5 matrix and I want to choose two random anti diagonals and let the indices of the entries belong to these inside a set called omega . so in the 5 by 5 matrix there are 9 anti diagonal and i want to choose second and fourth antidiagonals so omega ={(1,2),(2,1),(1,4),(2,3),(3,2),(4,1)}
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