Timeline for Solving multilinear equations

14 events

when toggle format	what		by	license	comment
Jun 19, 2020 at 9:12	history	edited	Vladimir Dotsenko		edited tags
May 29, 2020 at 16:16	vote	accept	Alexi
May 28, 2020 at 18:55	history	became hot network question
May 28, 2020 at 16:51	comment	added	Federico Poloni		In numerical practice, I would use something like Newton's method or homotopy continuation.
May 28, 2020 at 16:50	comment	added	Federico Poloni		@Alexi Exactly, no. With the trick in Vladimir Dotsenko's answer you can easily write a degree-5 polynomial equation in this form, by adding extra variables for $x^2, x^3, x^4$. Evil Abel foils our plans again.
May 28, 2020 at 16:27	comment	added	Alexi		@ZachTeitler Can we possibly solve this exactly (like we can do for linear equations), or is there some reason why this is impossible?
May 28, 2020 at 16:15	comment	added	Zach Teitler		When you say "solve", are you asking for a numerical solution, or what?
May 28, 2020 at 14:34	history	edited	Alexi		edited tags
May 28, 2020 at 14:25	history	edited	Alexi	CC BY-SA 4.0	deleted 86 characters in body
May 28, 2020 at 13:22	history	edited	Alexi	CC BY-SA 4.0	added 24 characters in body
May 28, 2020 at 11:52	answer	added	Vladimir Dotsenko		timeline score: 8
May 28, 2020 at 11:49	comment	added	Emil Jeřábek		This is as hard as solving general polynomial equations.
May 28, 2020 at 11:05	history	edited	Alexi		edited tags
May 28, 2020 at 10:55	history	asked	Alexi	CC BY-SA 4.0