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Jan 9, 2018 at 21:46 vote accept Ludwig
Jan 1, 2018 at 14:08 history edited Ludwig CC BY-SA 3.0
Added clarification.
Jan 1, 2018 at 10:59 history edited Ludwig CC BY-SA 3.0
edited body
Dec 31, 2017 at 13:38 history edited Ludwig CC BY-SA 3.0
added 12 characters in body
Dec 31, 2017 at 12:45 answer added Peter Michor timeline score: 4
Dec 31, 2017 at 10:00 history edited Ludwig CC BY-SA 3.0
added 15 characters in body
Dec 31, 2017 at 9:04 comment added Ludwig @IgorRivin: I edited the OP in order to deal with a well-defined $Y$.
Dec 31, 2017 at 9:01 history edited Ludwig CC BY-SA 3.0
Edited initial assumption
Dec 30, 2017 at 17:54 comment added Igor Rivin Since multiplying $Y$ on the left by an orthogonal matrix gives you another $Y,$ I still don't know what you mean...
Dec 30, 2017 at 17:35 comment added Ludwig @IgorRivin: According to the accepted answer to this MO question mathoverflow.net/questions/150427/…, I think that the (classical notion of) differential of $Y$ w.r.t. $X$ is well-defined under certain assumption concerning invertibility of $(I\otimes Y^\top)$. See also my edit.
Dec 30, 2017 at 17:31 history edited Ludwig CC BY-SA 3.0
added 18 characters in body
Dec 30, 2017 at 17:14 history edited Ludwig CC BY-SA 3.0
Added attempt of solution.
Dec 28, 2017 at 18:35 comment added Igor Rivin Since $Y$ is not well-defined, what exactly do you mean by its differential?
Dec 28, 2017 at 16:54 history edited Ludwig CC BY-SA 3.0
added 17 characters in body
Dec 28, 2017 at 15:40 history edited Ludwig CC BY-SA 3.0
added 7 characters in body
Dec 28, 2017 at 15:18 history asked Ludwig CC BY-SA 3.0