linear-solvers

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

UpdatedJul 20, 2025
Julia

EricDarve /numerical_linear_algebra

Star126

Julia code for the book Numerical Linear Algebra

iterative-methods qr-decomposition linear-solvers singular-value-decomposition matrix-computations numerical-linear-algebra eigendecomposition

UpdatedJan 23, 2023
Jupyter Notebook

numeric-rust /numeric

Star62

N-dimensional matrix class for Rust

rust matrix linear-algebra matrix-multiplication tensor linear-solvers

UpdatedMay 2, 2021
Rust

nikola-m /freeCappuccino

Star54

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

UpdatedMar 9, 2022
Fortran

polyfem /polysolve

Star52

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

UpdatedJun 24, 2025
C++

hpsim /OGL

Star35

The OpenFOAM Ginkgo Layer

hpc gpgpu linear-solvers openfoam-library openfoam-solver

UpdatedJul 15, 2025
C++

c-f-h /ilupp

Star29

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

UpdatedOct 1, 2021
C++

YiZhangCUG /liblcg

Star11

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

conjugate-gradient inverse-problems optimization-algorithms preconditioning linear-solvers linear-system-solver

UpdatedAug 23, 2022
C++

xiaohongchen1991 /krylov-solvers

Star11

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

UpdatedAug 11, 2019
C++

ctkelley /MultiPrecisionArrays.jl

Star11

Mulitprecision Arrays

multiprecision iterative-methods linear-solvers iterative-refinement

UpdatedJul 21, 2025
Julia

real-space /tfQMRgpu

Star9

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

UpdatedDec 9, 2024
C++

SiMoM0 /linear_solver

Star9

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

UpdatedDec 2, 2022
Python

zurutech /stand

Star7

StAnD: A Dataset of Linear Static Analysis Problems

engineering static-analysis structure dataset benchmark-suite linear-solvers

UpdatedJan 27, 2022
C++

real-space /AngstromCube

Star7

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

UpdatedJun 27, 2025
C++

ulagbulag /or-tools-rs

Star7

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

UpdatedMay 18, 2024
Rust

akshay-madar /mixed-integer-programming

Star5

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