krylov-methods

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ginkgo-project /ginkgo

Star539

Numerical linear algebra software package

hpc linear-algebra openmp cuda hip gpu-computing sparse-linear-systems spmv preconditioning krylov-methods oneapi dpcpp

UpdatedDec 17, 2025
C++

SciML /LinearSolve.jl

Sponsor

Star274

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

UpdatedDec 17, 2025
Julia

SciML /ExponentialUtilities.jl

Sponsor

Star105

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

gpu high-performance julia exponential differential-equations krylov krylov-methods krylov-subspace-methods matrix-exponential expokit scientific-machine-learning sciml matrix-exponentials expmv kiops

UpdatedDec 16, 2025
Julia

JuliaQuantumControl /QuantumPropagators.jl

Star20

Propagators for Quantum Dynamics and Optimal Control

julia quantum quantum-mechanics numerical-methods chebyshev krylov-methods

UpdatedDec 15, 2025
Julia

Jhuighuy /StormRuler

Star16

A very high order FVM framework

hpc solver high-performance-computing cfd multiphysics computational-fluid-dynamics unstructured-meshes krylov-methods finite-volume-methods

UpdatedApr 14, 2024
C++

Helmholtz-AI-Energy /pyGinkgo

Star15

PyGinkgo is a Python binding for the Ginkgo framework, providing access to Ginkgo's powerful linear algebra capabilities from Python.

high-performance-computing gpu-computing preconditioning krylov-methods sparse-linear-algebra

UpdatedNov 17, 2025
Python

szymonmaszke /numpp

Star12

Research library for compile time optimization

docker contributions research algebra cpp travis-ci matrices cpp17 research-project numerical-methods compile-time numerical-optimization research-paper symbolic-computation compilation krylov-methods numerical-library

UpdatedDec 16, 2018
C++

RalphAS /PeriodicSchurDecompositions.jl

Star10

Julia package for periodic Schur decompositions of matrix products

julia linear-algebra periodic eigenvalues krylov-methods

UpdatedAug 12, 2025
Julia

athtareq /iterativeKrylovAlgorithms

Star10

Intro algorithms to iterative Krylov methods for solving large sparse systems

matlab gmres krylov-methods lanczos fom krylov-subspace-methods arnoldi-algorithm

UpdatedFeb 16, 2022
MATLAB

komahanb /linear-nonlinear-algebra

Star4

Fortran/Python linear algebra utilities

linear-algebra linear-algebra-library conjugate-gradient krylov-methods gauss-seidel gauss-jacobi preconditioned-conjugate-gradient steepest-descent

UpdatedOct 31, 2018
Fortran

hdelan /MSc-HPC-Final-Project

Star1

In this project I implement a CUDA Lanczos method to approximate the matrix exponential. The matrix exponential is an important centrality measure for large, sparse graphs.

graph-algorithms cuda krylov-methods