I think the documentation for np.linalg.pinv contains some inaccuracies. Most importantly, Moore-Penrose is not defined by the solution to the least-square problem. It was defined by the unique solution to 4 equations. Since SVD can be easily shown to satisfy the same 4 equations, it is the Moore-Penrose inverse.
Another way that definition is wrong is that the least-square problem does not have to have unique solution. In fact, it can have infinitely many. In this case, Moore-Penrose is the minimum norm solution. All of this is discussed in the Matlab documentation of pinv, which is very good. Hao _______________________________________________ NumPy-Discussion mailing list NumPy-Discussion@scipy.org http://mail.scipy.org/mailman/listinfo/numpy-discussion
