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Mar 25, 2017 at 6:04 vote accept Markus Sprecher
Nov 1, 2016 at 13:21 answer added Nicolas Boumal timeline score: 8
Oct 29, 2016 at 8:53 comment added Christian Clason Since you're asking specifically about matrix manifolds, you should take a look at Absil et al.'s book Optimization Algorithms on Matrix Manifolds, press.princeton.edu/titles/8586.html. The main advantage is indeed not needing a parametrization (which can be very unwieldy and prevent good descent steps, which suffer from additional smallness conditions if the parametrization is only local). The disadvantage is that you need to compute geodesics (which replace the vector-space descent directions), which can be very expensive to compute.
Oct 28, 2016 at 22:23 comment added Suvrit Try manopt.org
Oct 28, 2016 at 20:39 history asked Markus Sprecher CC BY-SA 3.0