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linear-solvers

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ddemidov / amgcl

Star 873

C++ library for solving large sparse linear systems with algebraic multigrid method

c-plus-plus cpp opencl openmp mpi cuda gpgpu scientific-computing amg sparse-linear-systems multigrid linear-solvers
  • Updated Aug 3, 2026
  • C++

conradsnicta / armadillo-code

Star 525

Armadillo: fast C++ library for linear algebra (matrix maths) & scientific computing

statistics matlab linear-algebra solver openmp matrix-factorization matrix-functions scientific-computing expression-template gaussian-mixture-models armadillo blas math-library lapack linear-algebra-library sparse-matrix rcpparmadillo linear-solvers signal-processing-algorithms matrix-inverse
  • Updated May 28, 2026

SciML / LinearSolve.jl

Sponsor
Star 293

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

gpu julia linear-algebra distributed-computing differential-equations factorization amg multigrid krylov-methods linear-solvers scientific-machine-learning preconditioners sciml newton-krylov
  • Updated Aug 18, 2026
  • Julia

EricDarve / numerical_linear_algebra

Star 136

Julia code for the book Numerical Linear Algebra

iterative-methods qr-decomposition linear-solvers singular-value-decomposition matrix-computations numerical-linear-algebra eigendecomposition
  • Updated Jan 23, 2023
  • Jupyter Notebook

numeric-rust / numeric

Star 63

N-dimensional matrix class for Rust

rust matrix linear-algebra matrix-multiplication tensor linear-solvers
  • Updated May 2, 2021
  • Rust

polyfem / polysolve

Star 58

Easy-to-use linear and non-linear solver

wrapper newton cpp eigen pardiso suitesparse solvers nonlinear-optimization adam stochastic-gradient-descent linear-solvers linesearch hypre iterative-solvers amgcl lbfgs-optimizer
  • Updated Aug 11, 2026
  • C++

nikola-m / freeCappuccino

Star 57

A three-dimensional unstructured finite volume code for fluid flow simulations.

fortran simulation mpi tensor cfd finite-volume numerical-methods turbulence fluid-dynamics linear-solvers
  • Updated Mar 9, 2022
  • Fortran

hpsim / OGL

Star 42

The OpenFOAM Ginkgo Layer

hpc gpgpu linear-solvers openfoam-library openfoam-solver
  • Updated May 15, 2026
  • C++

c-f-h / ilupp

Star 35

A C++/Python library for incomplete LU factorizations based on Jan Mayer's ILU++

linear-algebra linear-systems preconditioning linear-solvers ilu incomplete-lu-factorizations
  • Updated Oct 1, 2021
  • C++

ParCoreLab / aCG

Star 16

GPU-accelerated linear solvers based on the conjugate gradient (CG) method, supporting NVIDIA and AMD GPUs with GPU-aware MPI, NCCL, RCCL or NVSHMEM

hpc gpu cuda hip conjugate-gradient rccl multi-gpu linear-solvers nccl exascale-computing nvshmem
  • Updated Mar 14, 2026
  • C

xiaohongchen1991 / krylov-solvers

Star 12

A simple C++ library of Krylov subspace methods for solving linear systems

c-plus-plus conjugate-gradient gmres linear-solvers krylov-subspace-methods boost-ublas
  • Updated Aug 11, 2019
  • C++

YiZhangCUG / liblcg

Star 11

C++ Library of the Linear Conjugate Gradient Methods (LibLCG)

conjugate-gradient inverse-problems optimization-algorithms preconditioning linear-solvers linear-system-solver
  • Updated Aug 23, 2022
  • C++

ulagbulag / or-tools-rs

Star 11

Unofficial Rust wrappers to the C++ library Google OR-Tools, open source software for combinatorial optimization

rust csp graph optimization routing sat linear-solvers combinatorial-optimization gra or-tools
  • Updated May 18, 2024
  • Rust

ctkelley / MultiPrecisionArrays.jl

Star 11

Mulitprecision Arrays

multiprecision iterative-methods linear-solvers iterative-refinement
  • Updated Aug 2, 2026
  • Julia

real-space / tfQMRgpu

Star 11

A CUDA implementation of the transpose-free Quasi-Minimal Residual method

c library cplusplus fortran gpu cuda complex-numbers gpu-computing sparse-linear-systems multiprecision sparse-matrix linear-solvers sparse-linear-solver iterative-algorithms block-sparsity sparse- unified-memory tfqmr
  • Updated Sep 2, 2025
  • C++

zurutech / stand

Star 9

StAnD: A Dataset of Linear Static Analysis Problems

engineering static-analysis structure dataset benchmark-suite linear-solvers
  • Updated Jan 27, 2022
  • C++

real-space / AngstromCube

Star 9

A parallel and GPU-accelerated Code for Real-Space All-Electron Linear-Scaling Density Functional Theory

spectrum openmp density-functional-theory gpu-acceleration finite-difference sparse-linear-systems electron-density sparse-matrix hamiltonian linear-solvers electronic-structure electronic-structure-calculations sparse-linear-solver pseudopotential cuda-programming projector-augmented-wave mpi-parallelization non-collinear-magnetism local-density-approximation tfqmr
  • Updated Aug 7, 2026
  • C++

SiMoM0 / linear_solver

Star 9

A simple linear solver for the simplex method in tableau form and gomory's cut.

python simplex linear-programming tableau operations-research integer-programming linear-solvers linear-optimization simplex-method dual-simplex gomory gomory-cut
  • Updated Dec 2, 2022
  • Python

hypre-space / hypredrive

Star 9

Flexible engine for solving linear systems with hypre

hpc linear-systems linear-solvers math-libraries
  • Updated Aug 10, 2026
  • C

akshay-madar / mixed-integer-programming

Star 5

Implemented MILP for profit optimization as part of prescriptive analytics solution for NY based Fortune 200 CPG industry partner, using branch-and-bound algorithm

optimization milp ortools branch-and-bound linear-solvers
  • Updated Apr 17, 2020
  • Jupyter Notebook

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