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Bindings and Python interface for the MUMPS sparse solver

Project description

Python-MUMPS

Python bindings for the MUMPS: a parallel sparse direct solver.

Scope

This package targets MUMPS packaged by conda-forge using Cython bindings. It aims to provide a full wrapper of the MUMPS sequential API. Its primary target OS is Linux.

Next steps include:

  • Support for Windows and OSX
  • Support for distributed (MPI) MUMPS

Installation

python-mumps works with Python 3.10 and higher on Linux, Windows and Mac.

The recommended way to install python-mumps is using mamba/conda.

mamba install -c conda-forge python-mumps

python-mumps can also be installed from PyPI, however this is a more involved procedure that requires separately installing the MUMPS library and a C compiler.

Usage example

The following example shows how Python-MUMPS can be used to implement sparse diagonalization with Scipy.

import scipy.sparse.linalg as sla
from scipy.sparse import identity
import mumps


def sparse_diag(matrix, k, sigma, **kwargs):
    """Call sla.eigsh with mumps support.

    See scipy.sparse.linalg.eigsh for documentation.
    """
    class LuInv(sla.LinearOperator):
        def __init__(self, A):
            inst = mumps.Context()
            inst.analyze(A, ordering='pord')
            inst.factor(A)
            self.solve = inst.solve
            sla.LinearOperator.__init__(self, A.dtype, A.shape)

        def _matvec(self, x):
            return self.solve(x.astype(self.dtype))

    opinv = LuInv(matrix - sigma * identity(matrix.shape[0]))
    return sla.eigsh(matrix, k, sigma=sigma, OPinv=opinv, **kwargs)

Development

python-mumps recommends Spin. Get spin with:

pip install spin

Then to build, test and install python-mumps:

spin build
spin test -- --lf  # (Pytest arguments go after --)
spin install

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