linalg question:cholesky for semidefinite, or LDL, QR equivalent for squared matrix
https://github.com/numpy/numpy/pull/4079 I'm looking for the equivalent of Cholesky for possibly singular, symmetric matrices using numpy or scipy linalg. details: I'm writing a function that can either take the data x (nobs, k_vars) or the moment matrix x.T.dot(x) (k_vars, k_vars), and I want to get the same result in both cases. Given data x, all I need is the R of the QR decomposition. If the moment matrix is not singular, then I can get the same with the Cholesky decomposition. However, what's the equivalent of R in QR if x is not of full rank and the moment matrix is singular? QR on the moment matrix gives different numbers and I don't know how to recover the correct R. requirement: I need the same sequential decomposition as qr and cholesky to be used for sequential least squares. Thanks, Josef
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josef.pktd@gmail.com