On 10/17/22 00:44, Simon Wiesheier wrote:
I plan to work with the correlation matrix (related to the inverse of J^t J).
If J has condition number about 1e13, do you think I can work on J^t J
without getting into numerical problems?
It always depends on what you want to do with it. If your goal is to show that
the problem has a few large and a few small singular vectors, you don't need
to know them accurately. If you want to multiply with the matrix, the
ill-conditioning is likely also not going to hurt very much. If you want to
solve a linear system with it, that might be a different story.
Best
W.
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Wolfgang Bangerth email: bange...@colostate.edu
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