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pyamg

PyAMG: Algebraic Multigrid Solvers in Python

Worth itPyPI Scientific/EngineeringReleased Aug 2025141.9K downloads / moMITPlatform wheel

Decision gist · record as of 2026-08-14

platform wheels — pyamg-5.3.0-cp310-cp310-macosx_10_9_x86_64.whl · pyamg-5.3.0-cp310-cp310-macosx_11_0_arm64.whl · pyamg-5.3.0-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl
v5.3.0 · released 2025-08-24 · Python >=3.9 · 2 runtime deps: numpy, scipy

Yes. PyAMG is a mature, actively maintained library (active status, recent commits) with no known vulnerabilities, permissive MIT licensing, and solid platform coverage. Install friction is moderate due to compiled components, but prebuilt wheels mitigate this. Suitable for anyone solving large sparse linear systems, especially on unstructured problems where classical multigrid is impractical.AI-flagged interpretation of the facts on this page — verify before relying

Before you install

  • Requires numpy and scipy; Python 3.9 or later.
  • Medium install friction due to compiled C++ components, but prebuilt wheels are available for Python 3.9–3.13 on macOS, Linux, and Windows.
  • Active maintenance with recent releases; last commit 2026-03-30.

License · maintenance · safety

MIT (permissive) — MIT license permits commercial and private use with minimal restrictions; suitable for most projects.

last release 2025-08-24 (355 days) · last repo commit 2026-03-30 · 652 stars

0 known vulnerabilities (OSV.dev, 2026-08-14) · 141,888 downloads/mo, #11,231 on PyPI

Verify before relying

import pyamg
import numpy as np
A = pyamg.gallery.poisson((500, 500), format='csr')
ml = pyamg.ruge_stuben_solver(A)
b = np.random.rand(A.shape[0])
x = ml.solve(b, tol=1e-10)
  • Performance characteristics and scalability limits for specific problem sizes or matrix structures
  • Comparative efficiency versus other multigrid or iterative solvers in typical use cases
Same gist for agents: .md · .json

What it is and what it does

PyAMG is a library of Algebraic Multigrid solvers designed to solve large-scale sparse linear systems with optimal or near-optimal efficiency. Unlike geometric multigrid, AMG requires little geometric information about the underlying problem and develops a sequence of coarser grids directly from the input matrix—making it especially useful for problems on unstructured meshes and irregular grids. The library is written primarily in Python with performance-critical C++ components.

The package implements Classical (Ruge-Stuben) AMG and Smoothed Aggregation methods, with experimental support for Adaptive Smoothed Aggregation and Compatible Relaxation. It is commonly used as a preconditioner or standalone solver in scientific computing workflows, particularly for finite-element and finite-difference discretizations. Installation is straightforward via pip or conda, with prebuilt wheels for modern Python versions on major platforms.

Use it for

  • Solve 2D/3D Poisson problems and other elliptic PDEs on unstructured grids where geometric information is unavailable
  • Precondition iterative solvers for large sparse systems arising from finite-element discretizations
  • Accelerate convergence of Krylov subspace methods (e.g., GMRES, CG) via multigrid preconditioning
  • Prototype and develop multilevel solution strategies for research in numerical linear algebra

Worth the install?

AI-flagged interpretation of the facts on this page. Verify before relying on it.

Worth it

Yes.

PyAMG is a mature, actively maintained library (active status, recent commits) with no known vulnerabilities, permissive MIT licensing, and solid platform coverage. Install friction is moderate due to compiled components, but prebuilt wheels mitigate this. Suitable for anyone solving large sparse linear systems, especially on unstructured problems where classical multigrid is impractical.

Install

pyamg on PyPI

Before you install

Medium install friction due to compiled C++ components, but prebuilt wheels are available for Python 3.9–3.13 on macOS, Linux, and Windows. Active maintenance with recent releases; last commit 2026-03-30.

Requires numpy and scipy; Python 3.9 or later.

License in practice

MIT license permits commercial and private use with minimal restrictions; suitable for most projects.

Quickstart

import pyamg
import numpy as np
A = pyamg.gallery.poisson((500, 500), format='csr')
ml = pyamg.ruge_stuben_solver(A)
b = np.random.rand(A.shape[0])
x = ml.solve(b, tol=1e-10)

Verify before relying

  • Performance characteristics and scalability limits for specific problem sizes or matrix structures
  • Comparative efficiency versus other multigrid or iterative solvers in typical use cases

Package facts

LicenseMIT permissive
Python supportSupports the current Python release >=3.9
Install frictionMedium. Platform-specific wheel
Runtime dependencies
2 packages
numpyscipy
MaintenanceActively maintained 355 days since the last release
Last repo commit
First released
Downloads141,888 / month, #11,231 on PyPI 30-day window, as of 2026-08-14
Known vulnerabilitiesNone known OSV.dev, checked 2026-08-14
Classifiers
Development Status :: 5 - Production/StableIntended Audience :: DevelopersIntended Audience :: EducationIntended Audience :: Science/ResearchLicense :: OSI Approved :: MIT LicenseNatural Language :: EnglishOperating System :: OS IndependentProgramming Language :: C++Programming Language :: PythonProgramming Language :: Python :: 3Programming Language :: Python :: 3.10Programming Language :: Python :: 3.11Programming Language :: Python :: 3.12Programming Language :: Python :: 3.9Topic :: EducationTopic :: Scientific/EngineeringTopic :: Scientific/Engineering :: MathematicsTopic :: Software Development :: Libraries :: Python Modules

Evidence: pyamg-5.3.0-cp310-cp310-macosx_10_9_x86_64.whl; pyamg-5.3.0-cp310-cp310-macosx_11_0_arm64.whl; pyamg-5.3.0-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl; pyamg-5.3.0-cp310-cp310-musllinux_1_2_x86_64.whl; pyamg-5.3.0-cp310-cp310-win32.whl; pyamg-5.3.0-cp310-cp310-win_amd64.whl; pyamg-5.3.0-cp311-cp311-macosx_10_9_x86_64.whl; pyamg-5.3.0-cp311-cp311-macosx_11_0_arm64.whl; pyamg-5.3.0-cp311-cp311-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl; pyamg-5.3.0-cp311-cp311-musllinux_1_2_x86_64.whl; pyamg-5.3.0-cp311-cp311-win32.whl; pyamg-5.3.0-cp311-cp311-win_amd64.whl; pyamg-5.3.0-cp312-cp312-macosx_10_13_x86_64.whl; pyamg-5.3.0-cp312-cp312-macosx_11_0_arm64.whl; pyamg-5.3.0-cp312-cp312-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl; pyamg-5.3.0-cp312-cp312-musllinux_1_2_x86_64.whl; pyamg-5.3.0-cp312-cp312-win32.whl; pyamg-5.3.0-cp312-cp312-win_amd64.whl; pyamg-5.3.0-cp313-cp313-macosx_10_13_x86_64.whl; pyamg-5.3.0-cp313-cp313-macosx_11_0_arm64.whl

Tags

Capabilities
algebraic multigrid solversparse matrix linear solverAMG preconditionerlarge-scale linear systemsmultigrid methods pythonsparse matrix solveriterative linear solver
Topics
numerical-linear-algebrasparse-matricesscientific-computing
PyPI keywords
algebraic multigridAMGsparse matrixpreconditioning

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See also nvidia-cusolver · nvidia-cusolver-cu12 · qdldl · pybammsolvers · pybamm · qpsolvers · nvidia-cusolver-cu11 · POT · gekko · amplpy