Algorithm 887: CHOLMOD, Supernodal Sparse Cholesky Factorization and Update/Downdate. CHOLMOD is a set of routines for factorizing sparse symmetric positive definite matrices of the form A or AAT, updating/downdating a sparse Cholesky factorization, solving linear systems, updating/downdating the solution to the triangular system Lx = b, and many other sparse matrix functions for both symmetric and unsymmetric matrices. Its supernodal Cholesky factorization relies on LAPACK and the Level-3 BLAS, and obtains a substantial fraction of the peak performance of the BLAS. Both real and complex matrices are supported. CHOLMOD is written in ANSI/ISO C, with both C and MATLABTM interfaces. It appears in MATLAB 7.2 as x = A when A is sparse symmetric positive definite, as well as in several other sparse matrix functions. (Source:

References in zbMATH (referenced in 44 articles , 1 standard article )

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  1. Garcke, Harald; Hinze, Michael; Kahle, Christian: A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow (2016)
  2. Genctav, Murat; Genctav, Asli; Tari, Sibel: Nonlocal via local-nonlinear via linear: a new part-coding distance field via screened Poisson equation (2016)
  3. Hager, William W.; Zhang, Hongchao: Projection onto a polyhedron that exploits sparsity (2016)
  4. Kalantzis, Vassilis; Li, Ruipeng; Saad, Yousef: Spectral Schur complement techniques for symmetric eigenvalue problems (2016)
  5. Kočvara, Michal; Mohammed, Sudaba: Primal-dual interior point multigrid method for topology optimization (2016)
  6. Pestana, Jennifer; Rees, Tyrone: Null-space preconditioners for saddle point systems (2016)
  7. Vepakomma, Praneeth; Elgammal, Ahmed: A fast algorithm for manifold learning by posing it as a symmetric diagonally dominant linear system (2016)
  8. Bellavia, Stefania; De Simone, Valentina; di Serafino, Daniela; Morini, Benedetta: Updating constraint preconditioners for KKT systems in quadratic programming via low-rank corrections (2015)
  9. Madden, Niall; Russell, Stephen: A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem (2015)
  10. Aune, Erlend; Simpson, Daniel P.; Eidsvik, Jo: Parameter estimation in high dimensional Gaussian distributions (2014)
  11. Martinez Esturo, Janick; Rössl, Christian; Theisel, Holger: Generalized metric energies for continuous shape deformation (2014)
  12. Andersen, Martin S.; Dahl, Joachim; Vandenberghe, Lieven: Logarithmic barriers for sparse matrix cones (2013)
  13. Davis, Timothy A.: Algorithm 930, FACTORIZE: an object-oriented linear system solver for MATLAB (2013)
  14. Franken, Martina; Rumpf, Martin; Wirth, Benedikt: A phase field based PDE constrained optimization approach to time discrete Willmore flow (2013)
  15. Georgescu, Serban; Chow, Peter; Okuda, Hiroshi: GPU acceleration for FEM-based structural analysis (2013)
  16. Hintermüller, M.; Hinze, M.; Kahle, C.: An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system (2013)
  17. Hogg, Jonathan D.; Scott, Jennifer A.: An efficient analyse phase for element problems. (2013)
  18. Krämer, Walter: High performance verified computing using C-XSC (2013)
  19. Maclachlan, Scott; Madden, Niall: Robust solution of singularly perturbed problems using multigrid methods (2013)
  20. Whitehorn, Nathan; van Santen, Jakob; Lafebre, Sven: Penalized splines for smooth representation of high-dimensional Monte Carlo datasets (2013)

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