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interior point solver for general convex conic optimization problems

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This undoes the hack I had done in #831, thanks to jump-dev/JuMP.jl#3734.

My apologies for brevity, but the title says it all ;) I'm going through https://github.com/chriscoey/Hypatia.jl/blob/7a5079fc33893d523d3b4e4f9f3be9697057da60/src/Solvers/Solvers.jl#L67 but many of this is for internal use only...

https://arxiv.org/pdf/2202.08489.pdf

speculative

`optimal solution found; terminating` can be confusing

info
interface

When using the 1s vector as the initial point, we restrict the Ps that parameterize the cone (e.g. in our scheme, interpolation points have to come from the domain of...

info
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numerics

- [x] nonnegative (LP) - [x] dual (moment) sum of squares (interpolation-based SOS/WSOS) - [x] second-order - [x] exponential (3-D) - [x] rotated SOC - [x] PSD - [x] L_inf...

help wanted
speculative
MOI
info
interface

currently not helping on examples so I won't merge now

speculative