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# Sparse Linear Algebra
```@meta
DocTestSetup = :(using LinearAlgebra, SparseArrays, SuiteSparse)
```
Sparse matrix solvers call functions from [SuiteSparse](http://suitesparse.com). The following factorizations are available:
| Type | Description |
|:--------------------------------- |:--------------------------------------------- |
| `SuiteSparse.CHOLMOD.Factor` | Cholesky factorization |
| `SuiteSparse.UMFPACK.UmfpackLU` | LU factorization |
| `SuiteSparse.SPQR.QRSparse` | QR factorization |
Other solvers such as [Pardiso.jl](https://github.com/JuliaSparse/Pardiso.jl/) are as external packages. [Arpack.jl](https://julialinearalgebra.github.io/Arpack.jl/stable/) provides `eigs` and `svds` for iterative solution of eigensystems and singular value decompositions.
These factorizations are described in the [`Linear Algebra`](@ref man-linalg) section of the manual:
1. [`cholesky`](@ref)
2. [`ldlt`](@ref)
3. [`lu`](@ref)
4. [`qr`](@ref)
```@docs
SuiteSparse.CHOLMOD.lowrankupdate
SuiteSparse.CHOLMOD.lowrankupdate!
SuiteSparse.CHOLMOD.lowrankdowndate
SuiteSparse.CHOLMOD.lowrankdowndate!
SuiteSparse.CHOLMOD.lowrankupdowndate!
```
```@meta
DocTestSetup = nothing
```
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