sage.manifolds: Connect to Pymanopt

[mkoeppe]

https://www.pymanopt.org/ provides numerical optimization algorithms over various families of manifolds (Sphere, Stiefel, Grassmann, ...) and their products.

I propose to

• add these manifolds as Sage classes
• each providing a method _manopt_ that produces the corresponding pymanopt class
• the default implementation of _manopt_ would create an instance of a subclass of https://www.pymanopt.org/docs/api-reference.html#pymanopt.manifolds.manifold.Manifold that implements the required methods using SageManifold's symbolic computation.

CC: @egourgoulhon @mjungmath @dimpase

Component: manifolds

Issue created by migration from https://trac.sagemath.org/ticket/30495

[mkoeppe]

Description changed:

--- 
+++ 
@@ -1,2 +1,8 @@
-https://www.pymanopt.org/
+https://www.pymanopt.org/ provides numerical optimization algorithms over various families of manifolds (`Sphere`, `Stiefel`, `Grassmann`, ...) and their products.

+I propose to
+- add these manifolds as Sage classes
+- each providing a method `_manopt_` that produces the corresponding pymanopt class
+- the default implementation of `_manopt_` would create an instance of a subclass of https://www.pymanopt.org/docs/api-reference.html#pymanopt.manifolds.manifold.Manifold that implements the required methods using SageManifold's symbolic computation.
+
+

[mkoeppe]

comment:3

Setting new milestone based on a cursory review of ticket status, priority, and last modification date.