LinearSolve.jl: High-Performance Unified Linear Solvers

LinearSolve.jl is a unified interface for the linear solving packages of Julia. It interfaces with other packages of the Julia ecosystem to make it easy to test alternative solver packages and pass small types to control algorithm swapping. It also interfaces with the ModelingToolkit.jl world of symbolic modeling to allow for automatically generating high-performance code.

Performance is key: the current methods are made to be highly performant on scalar and statically sized small problems, with options for large-scale systems. If you run into any performance issues, please file an issue.

Installation

To install LinearSolve.jl, use the Julia package manager:

using Pkg
Pkg.add("LinearSolve")

Contributing

Please refer to the SciML ColPrac: Contributor's Guide on Collaborative Practices for Community Packages for guidance on PRs, issues, and other matters relating to contributing to SciML.
See the SciML Style Guide for common coding practices and other style decisions.
There are a few community forums:
- The #diffeq-bridged and #sciml-bridged channels in the Julia Slack
- The #diffeq-bridged and #sciml-bridged channels in the Julia Zulip
- On the Julia Discourse forums
- See also SciML Community page

Roadmap

Wrappers for every linear solver in the Julia language is on the roadmap. If there are any important ones that are missing that you would like to see added, please open an issue. The current algorithms should support automatic differentiation. Pre-defined preconditioners would be a welcome addition.

Reproducibility

The documentation of this SciML package was built using these direct dependencies,

Status `~/work/LinearSolve.jl/LinearSolve.jl/docs/Project.toml`
  [e30172f5] Documenter v1.14.1
  [7ed4a6bd] LinearSolve v3.30.0 `~/work/LinearSolve.jl/LinearSolve.jl`
  [67398393] LinearSolveAutotune v1.6.0
  [c0aeaf25] SciMLOperators v1.5.0

and using this machine and Julia version.

Julia Version 1.11.6
Commit 9615af0f269 (2025-07-09 12:58 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 4 × AMD EPYC 7763 64-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, znver3)
Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)

A more complete overview of all dependencies and their versions is also provided.

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Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`

You can also download the manifest file and the project file.