# \#newton

**URL:** https://discourse.julialang.org/tag/newton/536.md

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## [Interior-Point Newton tries points outside of the constraint set](https://discourse.julialang.org/t/interior-point-newton-tries-points-outside-of-the-constraint-set/127215)

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**Author:** [@JADekker](https://discourse.julialang.org/u/JADekker)\
**Replies:** 5\
**Last updated:** [March 21, 2025, 2:12pm UTC](https://discourse.julialang.org/t/interior-point-newton-tries-points-outside-of-the-constraint-set/127215 "2025-03-21T14:12:59Z")

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Hi, I’m using Interior-Point Newton to solve a constrained optimization problem where my objective function is not (always) defined outside the constraint set. I found that Interior-Point Newton sometimes tries points ou…

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## [SOS Julia Newton Polytopes](https://discourse.julialang.org/t/sos-julia-newton-polytopes/101369)

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**Author:** [@ilovemath](https://discourse.julialang.org/u/ilovemath)\
**Replies:** 0\
**Last updated:** [July 8, 2023, 9:08pm UTC](https://discourse.julialang.org/t/sos-julia-newton-polytopes/101369 "2023-07-08T21:08:58Z")

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I am trying to investigate the details in which Newton polytope reduction is being incorporated in the sum of squares constraints for SumOfSquares/JuMP. Firstly, is the Newton polytope reduction being exploited automati…

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## [Solving for the steady-state of a large nonlinear ODE in SciML](https://discourse.julialang.org/t/solving-for-the-steady-state-of-a-large-nonlinear-ode-in-sciml/50613)

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**Author:** [@briochemc](https://discourse.julialang.org/u/briochemc)\
**Replies:** 32\
**Last updated:** [April 19, 2021, 10:01am UTC](https://discourse.julialang.org/t/solving-for-the-steady-state-of-a-large-nonlinear-ode-in-sciml/50613 "2021-04-19T10:01:05Z")

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I have a few questions: What is the difference in scope between NonlinearSolve.jl and NLSolvers.jl/NLsolve.jl? What are the pros/cons of NonlinearSolve.jl vs NLSolvers.jl/NLsolve.jl? Are there any plans to include the …