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migarstka authored May 7, 2024
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</p>

<p align="center">
<a href="#features">Features</a> •
<a href="#installation">Installation</a> •
<a href="NEWS.md">News</a> •
<a href="#citing-">Citing</a> •
<a href="#contributing">Contributing</a>
<a href="# -features">Features</a> •
<a href="# -installation">Installation</a> •
<a href="CHANGELOG.md">Changelog</a> •
<a href="# -citing-">Citing</a> •
<a href="# -contributing">Contributing</a>
</p>

This is a Julia implementation of the _Conic operator splitting method_ (COSMO) solver. It can solve large convex conic optimization problems of the following form:
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* __Quad SDPs__: Positive semidefinite programs with quadratic objective functions are natively supported
* __Safeguarded acceleration__: robust and faster convergence to higher precision using [COSMOAccelerators](https://github.com/oxfordcontrol/COSMOAccelerators.jl)
* __Infeasibility detection__: Infeasible problems are detected without a homogeneous self-dual embedding of the problem
* __JuMP / Convex.jl support__: We provide an interface to MathOptInterface (MOI), which allows you to describe your problem in [JuMP](https://github.com/JuliaOpt/JuMP.jl) and [Convex.jl](https://github.com/JuliaOpt/Convex.jl).
* __JuMP / Convex.jl support__: We provide an interface to MathOptInterface (MOI), which allows you to describe your problem in [JuMP](https://github.com/jump-dev/JuMP.jl) and [Convex.jl](https://github.com/jump-dev/Convex.jl).
* __Warm starting__: COSMO supports warm starting of the decision variables
* __Custom sets and linear solver__: Customize COSMO's components by defining your own convex constraint sets and by choosing from a number of direct and indirect linear system solvers, for example, [QDLDL](https://github.com/oxfordcontrol/qdldl), [Pardiso](https://github.com/JuliaSparse/Pardiso.jl), [Conjugate Gradient](https://juliamath.github.io/IterativeSolvers.jl/dev/) and [MINRES](https://juliamath.github.io/IterativeSolvers.jl/dev/)
* __Arbitrary precision types__: You can solve problems with any floating point precision.
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