UMFPACK

An ANSI C code for sparse LU factorization is presented that combines a column pre-ordering strategy with a right-looking unsymmetric-pattern multifrontal numerical factorization. The pre-ordering and symbolic analysis phase computes an upper bound on fill-in, work, and memory usage during the subsequent numerical factorization. User-callable routines are provided for ordering and analyzing a sparse matrix, computing the numerical factorization, solving a system with the LU factors, transposing and permuting a sparse matrix, and converting between sparse matrix representations.\parThe simple user interface shields the user from the details of the complex sparse factorization data structures by returning simple handles to opaque objects. Additional user-callable routines are provided for printing and extracting the contents of these opaque objects. An even simpler way to use the package is through its MATLAB interface. UMFPACK is incorporated as a built-in operator in MATLAB 6.5 as $x= A^{-1} {\bold b}$ when $A$ is sparse and unsymmetric. (Source: http://dl.acm.org/)


References in zbMATH (referenced in 190 articles , 1 standard article )

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  6. Robert C. Kirby, Lawrence Mitchell: Solver composition across the PDE/linear algebra barrier (2017) arXiv
  7. Suñagua, Porfirio; Oliveira, Aurelio R.L.: A new approach for finding a basis for the splitting preconditioner for linear systems from interior point methods (2017)
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  10. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects (2016)
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  15. Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa: Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient (2016)
  16. de Frutos, Javier; John, Volker; Novo, Julia: Projection methods for incompressible flow problems with WENO finite difference schemes (2016)
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  18. Garcke, Harald; Hinze, Michael; Kahle, Christian: A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow (2016)
  19. Harbrecht, Helmut; Loos, Florian: Optimization of current carrying multicables (2016)
  20. John, Volker: Finite element methods for incompressible flow problems (2016)

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