SuperLU

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.


References in zbMATH (referenced in 162 articles , 2 standard articles )

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  1. Yuan, Wei-Ran; Chen, Pu; Liu, Kai-Xin: High performance sparse solver for unsymmetrical linear equations with out-of-core strategies and its application on meshless methods (2006) ioport
  2. Zlatev, Zahari: Parallel treatment of general sparse matrices (2006)
  3. Arbenz, Peter; Geus, Roman: Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems (2005)
  4. Dong, S.; Kircher, S.; Garland, M.: Harmonic functions for quadrilateral remeshing of arbitrary manifolds (2005)
  5. Haase, Gundolf; Reitzinger, Stefan: Cache issues of algebraic multigrid methods for linear systems with multiple right-hand sides (2005)
  6. Heroux, Michael A.; Bartlett, Roscoe A.; Howle, Vicki E.; Hoekstra, Robert J.; Hu, Jonathan J.; Kolda, Tamara G.; Lehoucq, Richard B.; Long, Kevin R.; Pawlowski, Roger P.; Phipps, Eric T.; Salinger, Andrew G.; Thornquist, Heidi; Tuminaro, Ray S.; Willenbring, James M.; Williams, Alan; Stanley, Kendall S.: An overview of the Trilinos project. (2005)
  7. Li, Xiaoye S.: An overview of SuperLU: algorithms, implementation, and user interface. (2005)
  8. Heil, Matthias: An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems. (2004)
  9. Jardin, S. C.: A triangular finite element with first-derivative continuity applied to fusion MHD applications (2004)
  10. Gertz, E. Michael; Wright, Stephen J.: Object-oriented software for quadratic programming (2003)
  11. Li, Xiaoye S.; Demmel, James W.: SuperLU_DIST: a scalable distributed-memory sparse direct solver for unsymmetric linear systems (2003)
  12. Apel, Thomas; Mehrmann, Volker; Watkins, David: Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures (2002)
  13. Apel, Thomas; Sändig, Anna-Margarete; Solov’ev, Sergey I.: Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes. (2002)
  14. Badía, José M.; Benner, Peter; Mayo, Rafael; Quintana-Ortí, Enrique S.: Solving large sparse Lyapunov equations on parallel computers (2002)
  15. Amestoy, Patrick R.; Duff, Iain S.; L’excellent, Jean Yves; Li, Xiaoye S.: Analysis and comparison of two general sparse solvers for distributed memory computers (2001)
  16. Brown, B. M.; Jimack, P. K.; Mihajlović, M. D.: An efficient direct solver for a class of mixed finite element problems (2001)
  17. Duff, Iain S.: The impact of high-performance computing in the solution of linear systems: Trends and problems (2000)
  18. Davis, Timothy A.; Duff, Jain S.: A combined unifrontal/multifrontal method for unsymmetric sparse matrices (1999)
  19. Demmel, James W.; Eisenstat, Stanley C.; Gilbert, John R.; Li, Xiaoye S.; Liu, Joseph W. H.: A supernodal approach to sparse partial pivoting (1999)
  20. Demmel, James W.; Gilbert, John R.; Li, Xiaoye S.: An asynchronous parallel supernodal algorithm for sparse Gaussian elimination (1999)

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