MUMPS (software)

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Stable release
5.4.0 / April 2021 (2021-04)
Written inC, Fortran 90
Operating systemUnix-like and Windows (through WinMUMPS)

MUMPS (MUltifrontal Massively Parallel sparse direct Solver) is a software application for the solution of large sparse systems of linear algebraic equations on distributed memory parallel computers. It was developed in European project PARASOL (1996–1999) by CERFACS, IRIT-ENSEEIHT and RAL. The software implements the multifrontal method, which is a version of Gaussian elimination for large sparse systems of equations, especially those arising from the finite element method. It is written in Fortran 90 with parallelism by MPI and it uses BLAS and ScaLAPACK kernels for dense matrix computations. Since 1999, MUMPS has been supported by CERFACS, IRIT-ENSEEIHT, and INRIA.

The importance of MUMPS lies in the fact that it is a supported free implementation of the multifrontal method.


  • Amestoy, P.R.; Duff, I.S.; l'Excellent, J.-Y. (2000). "Multifrontal parallel distributed symmetric and unsymmetric solvers". Computer Methods in Applied Mechanics and Engineering. 184 (2–4): 501–520. Bibcode:2000CMAME.184..501A. CiteSeerX doi:10.1016/S0045-7825(99)00242-X. BibteX entry.
  • Amestoy, Patrick R.; Duff, Iain S.; l'Excellent, Jean-Yves; Koster, Jacko (2001). "A fully asynchronous multifrontal solver using distributed dynamic scheduling". SIAM Journal on Matrix Analysis and Applications. 23 (1): 15–41. CiteSeerX doi:10.1137/S0895479899358194. BibteX entry.
  • Amestoy, Patrick R.; Guermouche, Abdou; l’Excellent, Jean-Yves; Pralet, Stéphane (2006). "Hybrid scheduling for the parallel solution of linear systems". Parallel Computing. 32 (2): 136–156. CiteSeerX doi:10.1016/j.parco.2005.07.004. BibteX entry.

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