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 60 articles , 1 standard article )

Showing results 1 to 20 of 60.
Sorted by year (citations)

1 2 3 next

  1. Berkels, Benjamin; Effland, Alexander; Rumpf, Martin: A posteriori error control for the binary Mumford-Shah model (2017)
  2. Russell, Stephen; Madden, Niall: An introduction to the analysis and implementation of sparse grid finite element methods (2017)
  3. Scott, Jennifer: On using Cholesky-based factorizations and regularization for solving rank-deficient sparse linear least-squares problems (2017)
  4. Sencer Nuri Yeralan; Timothy A. Davis; Wissam M. Sid-Lakhdar; Sanjay Ranka: Algorithm 980: Sparse QR Factorization on the GPU (2017)
  5. Bellavia, Stefania; De Simone, Valentina; di Serafino, Daniela; Morini, Benedetta: On the update of constraint preconditioners for regularized KKT systems (2016)
  6. Bouillaguet, Charles; Delaplace, Claire: Sparse Gaussian elimination modulo $p$: an update (2016)
  7. Garcke, Harald; Hinze, Michael; Kahle, Christian: A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow (2016)
  8. Genctav, Murat; Genctav, Asli; Tari, Sibel: Nonlocal via local-nonlinear via linear: a new part-coding distance field via screened Poisson equation (2016)
  9. Hager, William W.; Zhang, Hongchao: Projection onto a polyhedron that exploits sparsity (2016)
  10. Kalantzis, Vassilis; Li, Ruipeng; Saad, Yousef: Spectral Schur complement techniques for symmetric eigenvalue problems (2016)
  11. Kočvara, Michal; Mohammed, Sudaba: Primal-dual interior point multigrid method for topology optimization (2016)
  12. Pestana, Jennifer; Rees, Tyrone: Null-space preconditioners for saddle point systems (2016)
  13. Vepakomma, Praneeth; Elgammal, Ahmed: A fast algorithm for manifold learning by posing it as a symmetric diagonally dominant linear system (2016)
  14. Bellavia, Stefania; De Simone, Valentina; di Serafino, Daniela; Morini, Benedetta: Updating constraint preconditioners for KKT systems in quadratic programming via low-rank corrections (2015)
  15. Madden, Niall; Russell, Stephen: A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem (2015)
  16. Muchmore, Patrick; Marjoram, Paul: Exact likelihood-free Markov chain Monte Carlo for elliptically contoured distributions (2015)
  17. Paillé, Gilles-Philippe; Ray, Nicolas; Poulin, Pierre; Sheffer, Alla; Lévy, Bruno: Dihedral angle-based maps of tetrahedral meshes (2015)
  18. Aune, Erlend; Simpson, Daniel P.; Eidsvik, Jo: Parameter estimation in high dimensional Gaussian distributions (2014)
  19. Gomes, Francisco A.M.; Senne, Thadeu A.: An algorithm for the topology optimization of geometrically nonlinear structures (2014)
  20. Martinez Esturo, Janick; Rössl, Christian; Theisel, Holger: Generalized metric energies for continuous shape deformation (2014)

1 2 3 next