mumpy
Python bindings for the MUMPS package MUMPS: a parallel sparse direct solver
Installation
On Linux
Either install mumps
with:
sudo apt-get instal libmumps-scotch-dev
Both on Linux and OSX
or use the conda
package on conda-forge
conda config --add channels conda-forge
conda install cython mumps numpy scipy libgfortran
pip install git+git@github.com:basnijholt/mumpy.git
and use the following build.conf
(if on Linux, not needed for OSX)
[mumps]
include_dirs = $CONDA_PREFIX/include
library_dirs = $CONDA_PREFIX/lib
libraries = zmumps mumps_common pord metis esmumps scotch scotcherr mpiseq gfortran
extra_link_args = -Wl,-rpath=$CONDA_PREFIX/lib
Usage
import scipy.sparse.linalg as sla
from scipy.sparse import identity
import mumpy.mumps as mumps
def sparse_diag(matrix, k, sigma, **kwargs):
"""Call sla.eigsh with mumps support.
Please see scipy.sparse.linalg.eigsh for documentation.
Notes
-----
mumpy only works with complex numbers at the moment.
"""
class LuInv(sla.LinearOperator):
def __init__(self, A):
inst = mumps.MUMPSContext()
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)