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At the moment, I think the closest you can get is SWIGging Google's OR-Tools or a similar library. See https://github.com/google/or-tools/issues/953 for discussion on accessing OR-Tools from go. I do not see where the constrained optimization has been wrapped by anyone yet, but it at least seems plausibly possible.
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gonum
Gonum is a set of numeric libraries for the Go programming language. It contains libraries for matrices, statistics, optimization, and more
See: https://github.com/gonum/gonum/issues/354 and https://github.com/gonum/gonum/issues/925#issuecomment-482805916
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