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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; LAPACK; SparseMatrix; PETSc; CSparse; Matlab; SuperLU; MA57; AMD; PARDISO; MUMPS; Eigen; BLAS; R; GitHub; ARPACK; LDL; FEniCS; METIS; NETLIB LP Test Set
Cited in: 128 Documents
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Cited by 291 Authors

8 Davis, Timothy Alden
6 Rumpf, Martin
5 Madden, Niall
4 Scott, Jennifer
3 Boman, Erik G.
3 Boyd, Stephen Poythress
3 Calo, Victor Manuel
3 Darve, Eric
3 Farrell, Patrick E.
3 Hager, William W.
3 MacLachlan, Scott P.
3 Rojas, Sergio
3 Sassen, Josua
3 Wirth, Benedikt
2 Andersen, Martin S.
2 Banerjee, Sudipto
2 Bellavia, Stefania
2 Berkels, Benjamin
2 Brubeck, Pablo D.
2 Dahl, Joachim
2 De Simone, Valentina
2 D’Elia, Marta
2 di Serafino, Daniela
2 Finley, Andrew O.
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 Mangion, Andrew Zammit
2 Morini, Benedetta
2 Nhan, Thái Anh
2 Peruzzi, Michele
2 Petra, Cosmin G.
2 Rajamanickam, Sivasankaran
2 Russell, Stephen J.
2 Saad, Yousef
2 Sander, Oliver
2 Scheichl, Robert
2 Senne, Thadeu A.
2 Sigmund, Ole
2 Suesse, Thomas
2 Vandenberghe, Lieven
1 Aage, Niels
1 Akyildiz, Ömer Deniz
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 Azzimonti, Dario
1 Bae, Daesung
1 Bakalakos, Serafeim
1 Balzer, Jonathan
1 Bao, Hujun
1 Bartel, Andreas
1 Bastian, Peter
1 Behnoudfar, Pouria
1 Benavoli, Alessio
1 Bergamaschi, Luca
1 Bollhöfer, Matthias
1 Bommes, David
1 Bouillaguet, Charles
1 Burtscheidt, Johanna
1 Cambier, Léopold
1 Capodaglio, Giacomo
1 Carlebach, Eyal
1 Castrillon-Candas, Julio Enrique
1 Chen, Chao
1 Chiang, Naiyuan
1 Chow, Edmond
1 Chow, Peter
1 Cier, Roberto J.
1 Claus, Matthias
1 Clausen, Anders
1 Clemens, Markus
1 Coey, Chris
1 Côme, Etienne
1 Conti, Sergio
1 Cook, Bruce D.
1 Crane, Keenan
1 Crouch, Jessica
1 Cui, Tiangang
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 Maria
1 De Sterck, Hans
1 Delaplace, Claire
1 Demkowicz, Leszek F.
1 Desbrun, Mathieu
1 Detommaso, Gianluca
1 Donfack, Simplice
1 Dopico, Daniel Dopico
...and 191 more Authors
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Cited in 52 Serials

18 SIAM Journal on Scientific Computing
10 Computer Methods in Applied Mechanics and Engineering
8 ACM Transactions on Mathematical Software
5 Computational Mechanics
4 SIAM Journal on Matrix Analysis and Applications
3 Computers & Mathematics with Applications
3 Journal of Computational Physics
3 ACM Transactions on Graphics
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3 Computational Optimization and Applications
3 Numerical Linear Algebra with Applications
3 Advances in Computational Mathematics
3 Optimization Methods & Software
3 Mathematical Programming Computation
2 Computer Physics Communications
2 Inverse Problems
2 Computer Aided Geometric Design
2 Journal of Scientific Computing
2 Numerical Algorithms
2 SIAM Journal on Optimization
2 Journal of Mathematical Imaging and Vision
2 Optimization and Engineering
2 Journal of Machine Learning Research (JMLR)
2 Statistics and Computing
1 Scandinavian Journal of Statistics
1 Mathematics of Computation
1 International Journal for Numerical Methods in Engineering
1 Journal of the American Statistical Association
1 Journal of Optimization Theory and Applications
1 Applied Numerical Mathematics
1 COMPEL
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1 Journal of Statistical Computation and Simulation
1 Computational Statistics and Data Analysis
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1 Applied and Computational Harmonic Analysis
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
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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
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1 International Journal of Numerical Analysis and Modeling
1 Lecture Notes in Computational Science and Engineering
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