arpack ☆

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Description:
Routines to solve large scale eigenvalue problems

Type: Formula | Latest Version: 3.9.1@1 | Tracked Since: Dec 17, 2025

Links: Homepage | formulae.brew.sh

Category: Developer tools

Tags: scientific-computing linear-algebra eigenvalue-solver fortran mathematics

Install: brew install arpack

About:
ARPACK-ng is a collection of Fortran77 subroutines designed to solve large scale eigenvalue problems. It implements the Implicitly Restarted Arnoldi Method, which is highly efficient for computing a few eigenpairs of large sparse matrices. This makes it essential for scientific computing tasks where full diagonalization is computationally infeasible.

Key Features:

Implicitly Restarted Arnoldi Method (IRAM) implementation
Support for standard, symmetric, and generalized eigenvalue problems
Reverse Communication interface for flexible integration
Parallel support via MPI (ScaLAPACK) for distributed memory systems

Use Cases:

Scientific computing for eigenvalue analysis in structural mechanics
Eigenvalue solvers for large sparse matrices in quantum physics simulations
Component in large-scale scientific software packages like Quantum ESPRESSO

Alternatives:

SLEPc – SLEPc is a more modern, scalable eigensolver built on PETSc, offering better performance for very large distributed systems but with a heavier dependency stack.
Eigen – Eigen is a C++ template library for linear algebra that includes dense and sparse matrix solvers, often preferred for C++ native projects over Fortran-based ARPACK.

License: BSD-3-Clause

Dependencies: eigen, gcc, open-mpi, openblas

Bottles available for: arm64_tahoe, arm64_sequoia, arm64_sonoma, arm64_ventura, sonoma, ventura, arm64_linux, x86_64_linux

Version History

Detected	Rev	Change	Commit
Sep 11, 2025 12:16pm	1	VERSION_BUMP	95ef3e0f
Nov 18, 2024 3:27pm	1	VERSION_BUMP	42141e86
Oct 1, 2024 1:27pm	0	VERSION_BUMP	434ec5b6
Sep 30, 2024 11:09pm	0	VERSION_BUMP	e0d0d1e0
Sep 27, 2024 2:20pm	0	VERSION_BUMP	faec7504