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CHOLMOD

swMATH ID: 4412
Software Authors: Chen, Y., Davis, T.A., Hager, W.W., Rajamanickam, S
Description: 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.
Homepage: http://www.cise.ufl.edu/research/sparse/cholmod/
Related Software: UMFPACK; SparseMatrix; LAPACK; AMD; Matlab; CSparse; SuperLU; MUMPS; PARDISO; Eigen; PETSc; MA57; BLAS; LDL; CUTEst; COLAMD; SuiteSparseQR; METIS; NETLIB LP Test Set; WSMP
Cited in: 106 Publications
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Cited by 236 Authors

9 Davis, Timothy Alden
5 Madden, Niall
5 Rumpf, Martin
4 Scott, Jennifer A.
3 Boman, Erik G.
3 Boyd, Stephen Poythress
3 Calo, Victor Manuel
3 Hager, William W.
3 MacLachlan, Scott P.
3 Rojas, Sergio
3 Wirth, Benedikt
2 Andersen, Martin S.
2 Bellavia, Stefania
2 Berkels, Benjamin
2 Dahl, Joachim
2 Darve, Eric
2 De Simone, Valentina
2 di Serafino, Daniela
2 Gomes, Francisco A. M.
2 Gonzalez, Manuel
2 Hinze, Michael
2 Hogg, Jonathan D.
2 Kahle, Christian
2 Li, Ruipeng
2 Luaces, Alberto
2 Morini, Benedetta
2 Nhan, Thái Anh
2 Rajamanickam, Sivasankaran
2 Russell, Stephen J.
2 Saad, Yousef
2 Sassen, Josua
2 Senne, Thadeu A.
2 Vandenberghe, Lieven
1 Al Akhras, H.
1 Andersen, Hans-Erik
1 Andreassen, Erik
1 Anitescu, Mihai
1 Antonietti, Paola Francesca
1 Argyros, Antonis A.
1 Aune, Erlend
1 Bae, Daesung
1 Bakalakos, Serafeim
1 Balzer, Jonathan
1 Banerjee, Sudipto
1 Bao, Hujun
1 Bartel, Andreas
1 Bastian, Peter
1 Behnoudfar, Pouria
1 Bollhöfer, Matthias
1 Bommes, David
1 Bouillaguet, Charles
1 Cambier, Léopold
1 Carlebach, Eyal
1 Chen, Chao
1 Chow, Edmond G. W.
1 Chow, Peter
1 Cier, Roberto J.
1 Clausen, Anders
1 Clemens, Markus
1 Cook, Bruce D.
1 Crane, Keenan
1 Crouch, Jessica
1 Datta, Abhirup
1 de Dreuzy, Jean-Raynald
1 De Gersem, Herbert
1 de Hoop, Maarten V.
1 De Marchi, Alberto
1 De Ponti, Jacopo
1 De Sterck, Hans
1 Delaplace, Claire
1 D’Elia, Marta
1 Demkowicz, Leszek F.
1 Desbrun, Mathieu
1 Donfack, Simplice
1 Dopico, Daniel Dopico
1 Druinsky, Alex
1 Eckstein, Jonathan
1 Effland, Alexander
1 Eftekhari, Aryan
1 Eidsvik, Jo
1 Elgammal, Ahmed
1 Elguedj, Thomas
1 Erhel, Jocelyne
1 Erickson, Brittany A.
1 Erlandson, Lucas
1 Ern, Alexandre
1 Essid, Montacer
1 Falgout, Robert D.
1 Fan, Shanhui
1 Fang, Yu
1 Fialko, S. Yu.
1 Fialko, Sergiy
1 Finley, Andrew O.
1 Formaggia, Luca
1 Foster, John T. jun.
1 Fougner, Christopher
1 Franken, Martina
1 Garcke, Harald
1 Gavrea, Bogdan I.
1 Genctav, Asli
...and 136 more Authors
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Cited in 46 Serials

15 SIAM Journal on Scientific Computing
9 Computer Methods in Applied Mechanics and Engineering
8 ACM Transactions on Mathematical Software
4 Computational Mechanics
4 SIAM Journal on Matrix Analysis and Applications
3 Journal of Computational Physics
3 ACM Transactions on Graphics
3 Computational Optimization and Applications
3 Numerical Linear Algebra with Applications
2 Computer Physics Communications
2 Computer Aided Geometric Design
2 Journal of Scientific Computing
2 Mathematical Programming. Series A. Series B
2 SIAM Journal on Optimization
2 Journal of Mathematical Imaging and Vision
2 Optimization Methods & Software
2 Optimization and Engineering
2 Mathematical Programming Computation
1 Computers & Mathematics with Applications
1 Inverse Problems
1 Mathematics of Computation
1 International Journal for Numerical Methods in Engineering
1 Journal of Optimization Theory and Applications
1 Applied Numerical Mathematics
1 COMPEL
1 Numerical Algorithms
1 Journal of Statistical Computation and Simulation
1 Advances in Engineering Software
1 Applied and Computational Harmonic Analysis
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Multibody System Dynamics
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Journal of Machine Learning Research (JMLR)
1 Structural and Multidisciplinary Optimization
1 Statistical Applications in Genetics and Molecular Biology
1 International Journal of Numerical Analysis and Modeling
1 Lecture Notes in Computational Science and Engineering
1 Foundations and Trends in Machine Learning
1 Journal of Computational and Graphical Statistics
1 Statistics and Computing

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