(Supernodal LU)

Copyright and License

SuperLU is a general purpose library for the direct solution of large, sparse, nonsymmetric systems of linear equations. The library is written in C and is callable from either C or Fortran program. It uses MPI, OpenMP and CUDA to support various forms of parallelism. It supports both real and complex datatypes, both single and double precision, and 64-bit integer indexing. The library routines performs an LU decomposition with partial pivoting and triangular system solves through forward and back substitution. The LU factorization routines can handle non-square matrices but the triangular solves are performed only for square matrices. The matrix columns may be preordered (before factorization) either through library or user supplied routines. This preordering for sparsity is completely separate from the factorization. Working precision iterative refinement subroutines are provided for improved backward stability. Routines are also provided to equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error bounds for the refined solutions.
Serial SuperLU package also contains ILU routines, using numerical threshold-based dropping, with partial pivoting (ILUTP).

SuperLU package comes in three different flavors:

FAQ (Frequently Asked Questions)

The Users' Guide (Tech report LBNL-44289) describes all three libraries. (Last update: June 2018)

How to Cite SuperLU in a publication.

User Mailing List is used to announce changes, new releases, etc.

Please send email if you have used any versions of the library.

This is my survey article about sparse direct solvers of various flavours.

Usage of SuperLU (page is under construction)

This project has been funded by DOE, NSF and DARPA.

     X. Sherry Li
     Jim Demmel
     Nan Ding
     John Gilbert
     Laura Grigori
     Yang Liu
     Piyush Sao
     Meiyue Shao
     Ichitaro Yamazaki

Other Contributors:
     Pietro Cicotti, UCSD
     Daniel Schreiber
     Jinqchong Teo
     Yu Wang
     Eric Zhang, Albany High

SuperLU Version 6.0.1

SuperLU_MT Version 4.0.0

SuperLU_DIST Version 9.0.0