during using the manopt toolbox, I have a problem:
In your book, I learned that whether the current point is a stationary point can be determined by whether gradnorm is close to 0.
For my optimization problem, if I initialize randomly, then the gradnorm reduce to 0 quickly with iterations, which meets my expectation, and I believe that I obtain a local optimal.
However, if I initialize it by the solution of another conventional algorithm, then, the manopt can not work, i.e., no iteration will be operated, with the warning that "Last stepsize smaller than minimum allowed",
So I think the initialization resulting from the conventioanl algorithm may already be a local optimal. However, its gradnorm is much larger than 0, which puzzles me.
Is this a usual case? Or there must be something wrong?
(As the optimization function is quite easy so I think the derivation of Euclidean gradient is correct)
Thanks for your time,