A [recent discussion](https://discourse.julialang.org/t/pure-julia-sparse-cholesky/131293) links a number of linear algebra-related packages: * [CliqueTrees.jl](https://github.com/AlgebraicJulia/CliqueTrees.jl) notably https://github.com/AlgebraicJulia/CliqueTrees.jl/blob/main/src/chol_facts.jl. Sparse * [LDLFactorizations.jl](https://github.com/JuliaSmoothOptimizers/LDLFactorizations.jl) * [QDLDL.jl](https://github.com/oxfordcontrol/QDLDL.jl) * [NextLA.jl](https://github.com/NextLinearAlgebra/NextLA.jl) Dense?