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Nov 14, 2017 at 16:37 comment added Igor Rivin @XavierXiao You have changed the question.
Nov 14, 2017 at 16:32 comment added dave2d Thanks, I have read the main theorem, and I think here I want the least square solution, and therefore I don't need the Sylvester equation to hold exactly. Also the rank here is exact, not numerical rank.
Nov 14, 2017 at 5:48 history answered Igor Rivin CC BY-SA 3.0