sparse-matrix

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

julia high-performance-computing differential-equations factorization nonlinear-equations sparse-matrix sparse-matrices newton-raphson steady-state bracketing equilibrium newton-method scientific-machine-learning sciml newton-krylov deep-equilibrium-models

UpdatedJul 19, 2025
Julia

JuliaDiff /FiniteDiff.jl

Star268

Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

fast gpu julia sparse derivatives gradients sparse-matrix jacobians coloring hessians banded non-allocating

UpdatedFeb 7, 2025
Julia

ricosjp /monolish

Star200

monolish: MONOlithic LInear equation Solvers for Highly-parallel architecture

cpu hpc gpu matrix linear-algebra openmp cuda scientific-computing blas cpp17 lapack linear-algebra-library sparse-matrix mkl cpp17-library matrix-structures

UpdatedJun 12, 2025
C++

MatMechLab /AsFem

Star198

Advanced Simulation kit based on Finite Element Method (AsFem)

nonlinear finite-elements numerical-methods finite-element-analysis multiphysics sparse-matrix crack damage mechanics newton-raphson solids fracture beginner-code phasefield cahnhilliard asfem chemomechanics

UpdatedJul 11, 2025
C++

pghysels /STRUMPACK

Star175

Structured Matrix Package (LBNL)

hpc linear-algebra linear-systems sparse-linear-systems sparse-matrix preconditioner hss matrix-computations dense-matrices

UpdatedJul 9, 2025
C++

james-bowman /sparse

Star165

Sparse matrix formats for linear algebra supporting scientific and machine learning applications

go golang machine-learning csc vector matrix scientific-computing matrix-multiplication matrices blas csr sparse-linear-systems sparse-matrix bit-vector sparse-matrices gonum dictionary-of-keys coo sparse-representations matrix-format

UpdatedJul 29, 2021
Go

Rust Scientific Libary. ODE and DAE (Runge-Kutta) solvers. Special functions (Bessel, Elliptic, Beta, Gamma, Erf). Linear algebra. Sparse solvers (MUMPS, UMFPACK). Probability distributions. Tensor calculus.

rust interpolation linear-algebra mathematics special-functions scientific-computing quadrature differential-equations eigenvectors sparse-matrix numerical-integration eigenvalues quadrature-integration spectral-methods bessel-function numerical-derivatives gamma-function

UpdatedJul 4, 2025
Rust

qpSWIFT /qpSWIFT

Star144

qpSWIFT is a light-weight sparse quadratic programming solver

python c real-time embedded control robotics sparse-matrix numerical-optimization quadratic-programming interior-point-method

UpdatedMar 24, 2023
C

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sparse-matrix

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eigenteam /eigen-git-mirror

DrTimothyAldenDavis /SuiteSparse

gunrock /gunrock

pydata /sparse

pyamg /pyamg

lessthanoptimal /ejml

conradsnicta /armadillo-code

optimatika /ojAlgo

tlk00 /BitMagic

ing-bank /sparse_dot_topn

OneSparse /OneSparse

kokkos /kokkos-kernels

SciML /NonlinearSolve.jl