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 164 articles , 2 standard articles )

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  1. Balm, Floris; Krikun, Alexander; Romero-Bermúdez, Aurelio; Schalm, Koenraad; Zaanen, Jan: Isolated zeros destroy Fermi surface in holographic models with a lattice (2020)
  2. Dutra do Carmo, E. G.; Leal, R. M. T.; Mansur, W. J.: A new scheme to obtain pollution-free solution for plane waves and to generate a continuous Petrov-Galerkin method for the Helmholtz problem (2020)
  3. Etling, Tommy; Herzog, Roland; Loayza, Estefanía; Wachsmuth, Gerd: First and second order shape optimization based on restricted mesh deformations (2020)
  4. Herrmann, Lukas; Kirchner, Kristin; Schwab, Christoph: Multilevel approximation of Gaussian random fields: fast simulation (2020)
  5. Reguly, István Z.; Mudalige, Gihan R.: Productivity, performance, and portability for computational fluid dynamics applications (2020)
  6. Vassilevski, Yuri; Terekhov, Kirill; Nikitin, Kirill; Kapyrin, Ivan: Parallel finite volume computation on general meshes (2020)
  7. Amestoy, Patrick R.; Buttari, Alfredo; L’Excellent, Jean-Yves; Mary, Theo A.: Bridging the gap between flat and hierarchical low-rank matrix formats: the multilevel block low-rank format (2019)
  8. Bhattacharya, Rabi; Lin, Lizhen: Differential geometry for model independent analysis of images and other non-Euclidean data: recent developments (2019)
  9. Bootland, Niall; Bentley, Alistair; Kees, Christopher; Wathen, Andrew: Preconditioners for two-phase incompressible Navier-Stokes flow (2019)
  10. Droniou, Jérôme; Hennicker, Julian; Masson, Roland: Numerical analysis of a two-phase flow discrete fracture matrix model (2019)
  11. Farrell, Patrick E.; Mitchell, Lawrence; Wechsung, Florian: An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier-Stokes equations at High Reynolds number (2019)
  12. Fu, Shubin; Gao, Kai; Gibson, Richard L. jun.; Chung, Eric T.: An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling (2019)
  13. Gander, Martin J.; Zhang, Hui: A class of iterative solvers for the Helmholtz equation: factorizations, sweeping preconditioners, source transfer, single layer potentials, polarized traces, and optimized Schwarz methods (2019)
  14. Jakob M. Maljaars, Chris N. Richardson, Nathan Sime: LEoPart: a particle library for FEniCS (2019) arXiv
  15. Jiang, J.; Garikipati, K.; Rudraraju, S.: A diffuse interface framework for modeling the evolution of multi-cell aggregates as a soft packing problem driven by the growth and division of cells (2019)
  16. Li, Xinge; Zhang, Yongjie Jessica; Yang, Xuyang; Xu, Haibo; Xu, Guoliang: Point cloud surface segmentation based on volumetric eigenfunctions of the Laplace-Beltrami operator (2019)
  17. Moulin, Johann; Jolivet, Pierre; Marquet, Olivier: Augmented Lagrangian preconditioner for large-scale hydrodynamic stability analysis (2019)
  18. Thomas, S. J.; Ananthan, S.; Yellapantula, S.; Hu, J. J.; Lawson, M.; Sprague, M. A.: A comparison of classical and aggregation-based algebraic multigrid preconditioners for high-fidelity simulation of wind turbine incompressible flows (2019)
  19. Ammon, Martin; Baggioli, Matteo; Jiménez-Alba, Amadeo; Moeckel, Sebastian: A smeared quantum phase transition in disordered holography (2018)
  20. Birgle, N.; Masson, R.; Trenty, L.: A domain decomposition method to couple nonisothermal compositional gas liquid Darcy and free gas flows (2018)

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