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. Maurer, Daniel; Wieners, Christian: A parallel block \textitLUdecomposition method for distributed finite element matrices (2011) ioport
  2. Pandolfi, Anna; Napoli, Gaetano: A numerical investigation on configurational distortions in nematic liquid crystals (2011)
  3. Peerenboom, K. S. C.; van Dijk, J.; ten Thije Boonkkamp, J. H. M.; Liu, Lei; Goedheer, W. J.; van der Mullen, J. J. A. M.: Mass conservative finite volume discretization of the continuity equations in multi-component mixtures (2011)
  4. Sanches, R. A. K.; Bornemann, P. B.; Cirak, F.: Immersed b-spline (i-spline) finite element method for geometrically complex domains (2011)
  5. Aprovitola, Andrea; D’ambra, Pasqua; Denaro, Filippo; Di Serafino, Daniela; Filippone, Salvatore: Scalable algebraic multilevel preconditioners with application to CFD (2010)
  6. Beneš, Michal; Matouš, Karel: Asynchronous multi-domain variational integrators for nonlinear hyperelastic solids (2010)
  7. Bientinesi, Paolo; Eijkhout, Victor; Kim, Kyungjoo; Kurtz, Jason; Van De Geijn, Robert: Sparse direct factorizations through unassembled hyper-matrices (2010)
  8. Faragó, István; Havasi, Ágnes; Zlatev, Zahari: Efficient implementation of stable Richardson extrapolation algorithms (2010)
  9. Hall, J. A. J.: Towards a practical parallelisation of the simplex method (2010)
  10. Reuter, Martin: Hierarchical shape segmentation and registration via topological features of Laplace-Beltrami eigenfunctions (2010) ioport
  11. Berggren, Martin; Ekstrom, Sven-Erik; Nordstrom, Jan: A discontinuous Galerkin extension of the vertex-centered edge-based finite volume method (2009)
  12. Schmidt, K.; Kauf, P.: Computation of the band structure of two-dimensional photonic crystals with (hp) finite elements (2009)
  13. Zierenberg, Jennifer R.; Fujioka, Hideki; Hirschl, Ronald B.; Bartlett, Robert H.; Grotberg, James B.: Oxygen and carbon dioxide transport in time-dependent blood flow past fiber rectangular arrays (2009)
  14. Chen, Tianbing; Strain, John: Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems (2008)
  15. Demkowicz, Leszek F.; Kurtz, Jason; Pardo, David; Paszyński, Maciej; Rachowicz, Waldemar; Zdunek, Adam: Computing with (hp)-adaptive finite elements. Vol. II: Frontiers: Three-dimensional elliptic and Maxwell problems with applications. (2008)
  16. González, Manuel; González, Francisco; Dopico, Daniel; Luaces, Alberto: On the effect of linear algebra implementations in real-time multibody system dynamics (2008)
  17. Heil, Matthias; Hazel, Andrew L.; Boyle, Jonathan: Solvers for large-displacement fluid-structure interaction problems: Segregated versus monolithic approaches (2008)
  18. Kees, C. E.; Farthing, M. W.; Dawson, C. N.: Locally conservative, stabilized finite element methods for variably saturated flow (2008)
  19. Koziara, Tomasz; Bićanić, Nenad: Semismooth Newton method for frictional contact between pseudo-rigid bodies (2008)
  20. Sala, Marzio; Spotz, William F.; Heroux, Michael A.: PyTrilinos: High-performance distributed-memory solvers for Python (2008)