SuperLU-DIST
SuperLU is a general purpose library for the direct solution of large, sparse, nonsymmetric systems of linear equations on high performance machines. The library is written in C and is callable from either C or Fortran. The library routines will perform 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.
This software is also referenced in ORMS.
This software is also referenced in ORMS.
Keywords for this software
References in zbMATH (referenced in 90 articles , 1 standard article )
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- Polizzi, Eric; Sameh, Ahmed: SPIKE: A parallel environment for solving banded linear systems (2007)
- Bollhöfer, Matthias; Schenk, Olaf: Combinatorial aspects in sparse elimination methods (2006)
- Heil, Matthias; Hazel, Andrew L.: \textttoomph-lib -- an object-oriented multi-physics finite-element library (2006)
- Schenk, Olaf; Gärtner, Klaus: On fast factorization pivoting methods for sparse symmetric indefinite systems (2006)
- Zlatev, Zahari; Dimov, Ivan: Computational and numerical challenges in environmental modelling (2006)
- Guarracino, M. R.; Perla, F.; Zanetti, P.: A parallel computational kernel for sparse nonsymmetric eigenvalue problems on multicomputers (2005)
- Li, Xiaoye S.: An overview of SuperLU: algorithms, implementation, and user interface. (2005)
- Smith, N. P.; Nickerson, D. P.; Crampin, E. J.; Hunter, P. J.: Multiscale computational modelling of the heart (2004)
- Li, Xiaoye S.; Demmel, James W.: SuperLU_DIST: a scalable distributed-memory sparse direct solver for unsymmetric linear systems (2003)
- Li, Xiaoye S.; Martin, Michael C.; Thompson, Brandon J.; Tung, Teresa; Yoo, Daniel J.; Demmel, James W.; Bailey, David H.; Henry, Greg; Hida, Yozo; Iskandar, Jimmy; Kahan, William; Kang, Suh Y.; Kapur, Anil: Design, implementation and testing of extended and mixed precision BLAS (2002)