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 126 articles , 2 standard articles )

Showing results 1 to 20 of 126.
Sorted by year (citations)

1 2 3 ... 5 6 7 next

  1. Ammon, Martin; Baggioli, Matteo; Jiménez-Alba, Amadeo; Moeckel, Sebastian: A smeared quantum phase transition in disordered holography (2018)
  2. Breit, Markus; Queisser, Gillian: What is required for neuronal calcium waves? A numerical parameter study (2018)
  3. Buhr, Andreas; Smetana, Kathrin: Randomized local model order reduction (2018)
  4. Helenbrook, B. T.; Hrdina, J.: High-order adaptive arbitrary-Lagrangian-Eulerian (ALE) simulations of solidification (2018)
  5. Hoehme, Stefan; Bertaux, Francois; Weens, William; Grasl-Kraupp, Bettina; Hengstler, Jan G.; Drasdo, Dirk: Model prediction and validation of an order mechanism controlling the spatiotemporal phenotype of early hepatocellular carcinoma (2018)
  6. Mezzadri, Francesco; Galligani, Emanuele: An inexact Newton method for solving complementarity problems in hydrodynamic lubrication (2018)
  7. Sanderson, Conrad; Curtin, Ryan: A user-friendly hybrid sparse matrix class in C++ (2018)
  8. Shabat, Gil; Shmueli, Yaniv; Aizenbud, Yariv; Averbuch, Amir: Randomized LU decomposition (2018)
  9. Walker, Shawn W.: FELICITY: a Matlab/C++ toolbox for developing finite element methods and simulation modeling (2018)
  10. Adams, Mark F.; Hirvijoki, Eero; Knepley, Matthew G.; Brown, Jed; Isaac, Tobin; Mills, Richard: Landau collision integral solver with adaptive mesh refinement on emerging architectures (2017)
  11. Batty, Christopher: A cell-centred finite volume method for the Poisson problem on non-graded quadtrees with second order accurate gradients (2017)
  12. Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique: Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics (2017)
  13. Filbet, Francis; Herda, Maxime: A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure (2017)
  14. Karpinski, Stefan; Pop, Iuliu Sorin: Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillary effects (2017)
  15. Li, Ang; Serban, Radu; Negrut, Dan: Analysis of a splitting approach for the parallel solution of linear systems on GPU cards (2017)
  16. Schneider, Martin; Agélas, Léo; Enchéry, Guillaume; Flemisch, Bernd: Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes (2017)
  17. Steinke, Christian; Zreid, Imadeddin; Kaliske, Michael: On the relation between phase-field crack approximation and gradient damage modelling (2017)
  18. Zhu, Yao; Sameh, Ahmed H.: $\textPSPIKE+$: A family of parallel hybrid sparse linear system solvers (2017)
  19. Bertoluzza, Silvia; Del Pino, Stéphane; Labourasse, Emmanuel: A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D (2016)
  20. Bodart, Olivier; Cayol, Valérie; Court, Sébastien; Koko, Jonas: XFEM-based fictitious domain method for linear elasticity model with crack (2016)

1 2 3 ... 5 6 7 next