| PackageDescription | Highly distributed solution of sparse linear equations
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.
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SuperLU_DIST implements the algorithms for distributed memory,
targetting highly parallel distributed memory hybrid systems. The
numerical factorization routines are already implemented for hybrid
systems with multiple GPUs. Further work will be needed to implement
the other phases of the algorithms on the hybrid systems and to
enhance strong scaling to extreme scale.
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This package provides the superlu-dist shared library. |