Direct methods for sparse matrices
Direct methods for sparse matrices
Updating the inverse of a matrix
SIAM Review
A set of level 3 basic linear algebra subprograms
ACM Transactions on Mathematical Software (TOMS)
The role of elimination trees in sparse factorization
SIAM Journal on Matrix Analysis and Applications
ACM Transactions on Mathematical Software (TOMS)
Sparse matrices in matlab: design and implementation
SIAM Journal on Matrix Analysis and Applications
Block sparse Cholesky algorithms on advanced uniprocessor computers
SIAM Journal on Scientific Computing
An Efficient Algorithm to Compute Row and Column Counts for Sparse Cholesky Factorization
SIAM Journal on Matrix Analysis and Applications
Modification of the minimum-degree algorithm by multiple elimination
ACM Transactions on Mathematical Software (TOMS)
An Approximate Minimum Degree Ordering Algorithm
SIAM Journal on Matrix Analysis and Applications
Highly Scalable Parallel Algorithms for Sparse Matrix Factorization
IEEE Transactions on Parallel and Distributed Systems
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Proceedings of the IFIP TC2/WG2.5 working conference on Quality of numerical software: assessment and enhancement
Node Selection Strategies for Bottom-Up Sparse Matrix Ordering
SIAM Journal on Matrix Analysis and Applications
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
Modifying a Sparse Cholesky Factorization
SIAM Journal on Matrix Analysis and Applications
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
Basic Linear Algebra Subprograms for Fortran Usage
ACM Transactions on Mathematical Software (TOMS)
Corrigenda: “An Extended Set of FORTRAN Basic Linear Algebra Subprograms”
ACM Transactions on Mathematical Software (TOMS)
Computer Solution of Large Sparse Positive Definite
Computer Solution of Large Sparse Positive Definite
Multiple-Rank Modifications of a Sparse Cholesky Factorization
SIAM Journal on Matrix Analysis and Applications
PASTIX: a high-performance parallel direct solver for sparse symmetric positive definite systems
Parallel Computing - Parallel matrix algorithms and applications
The design and implementation of a new out-of-core sparse cholesky factorization method
ACM Transactions on Mathematical Software (TOMS)
A column approximate minimum degree ordering algorithm
ACM Transactions on Mathematical Software (TOMS)
Algorithm 849: A concise sparse Cholesky factorization package
ACM Transactions on Mathematical Software (TOMS)
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
ACM Transactions on Mathematical Software (TOMS)
Experiences of sparse direct symmetric solvers
ACM Transactions on Mathematical Software (TOMS)
A sparse proximal implementation of the LP dual active set algorithm
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
High-performance implementation of the level-3 BLAS
ACM Transactions on Mathematical Software (TOMS)
Dynamic Supernodes in Sparse Cholesky Update/Downdate and Triangular Solves
ACM Transactions on Mathematical Software (TOMS)
Controlled field generation for quad-remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Dynamic Supernodes in Sparse Cholesky Update/Downdate and Triangular Solves
ACM Transactions on Mathematical Software (TOMS)
SBA: A software package for generic sparse bundle adjustment
ACM Transactions on Mathematical Software (TOMS)
Packing circles and spheres on surfaces
ACM SIGGRAPH Asia 2009 papers
DOLFIN: Automated finite element computing
ACM Transactions on Mathematical Software (TOMS)
Reduced state representation in delayed-state SLAM
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Information-based compact pose SLAM
IEEE Transactions on Robotics
Unified simulation of elastic rods, shells, and solids
ACM SIGGRAPH 2010 papers
ACM SIGGRAPH 2010 papers
Algorithm 907: KLU, A Direct Sparse Solver for Circuit Simulation Problems
ACM Transactions on Mathematical Software (TOMS)
Tradeoff analysis and optimization of power delivery networks with on-chip voltage regulation
Proceedings of the 47th Design Automation Conference
Interactive content-aware zooming
Proceedings of Graphics Interface 2010
Bundle adjustment in the large
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Sparse non-linear least squares optimization for geometric vision
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Locality-Driven Parallel Static Analysis for Power Delivery Networks
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Robotics and Autonomous Systems
Incremental manifold learning by spectral embedding methods
Pattern Recognition Letters
SMI 2011: Full Paper: Template-based quadrilateral meshing
Computers and Graphics
Communications of the ACM
Spatio-temporal analysis for parameterizing animated lines
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Non-Photorealistic Animation and Rendering
Preconditioned stochastic gradient descent optimisation for monomodal image registration
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
The university of Florida sparse matrix collection
ACM Transactions on Mathematical Software (TOMS)
Algorithm 915, SuiteSparseQR: Multifrontal multithreaded rank-revealing sparse QR factorization
ACM Transactions on Mathematical Software (TOMS)
Hypergraph-Based Unsymmetric Nested Dissection Ordering for Sparse LU Factorization
SIAM Journal on Scientific Computing
Design of a Multicore Sparse Cholesky Factorization Using DAGs
SIAM Journal on Scientific Computing
Fast static analysis of power grids: algorithms and implementations
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iSAM2: Incremental smoothing and mapping using the Bayes tree
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Factorization-Based graph repartitionings
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Global parametrization by incremental flattening
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Foundations and Trends® in Machine Learning
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Computers and Graphics
Updated sparse cholesky factors for corotational elastodynamics
ACM Transactions on Graphics (TOG)
Detail-aware spatial deformation transfer
Computer Animation and Virtual Worlds
Example-based inverse kinematics using cage
Computer Animation and Virtual Worlds
Active strokes: coherent line stylization for animated 3D models
NPAR '12 Proceedings of the Symposium on Non-Photorealistic Animation and Rendering
SIAM Journal on Scientific Computing
Generalized subgraph preconditioners for large-scale bundle adjustment
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Deterministic random walk preconditioning for power grid analysis
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PowerRush: efficient transient simulation for power grid analysis
Proceedings of the International Conference on Computer-Aided Design
Journal of Computational Physics
Robust fairing via conformal curvature flow
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Globally optimal direction fields
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Proceedings of the Conference on Design, Automation and Test in Europe
Depth synthesis and local warps for plausible image-based navigation
ACM Transactions on Graphics (TOG)
Algorithm 930: FACTORIZE: An object-oriented linear system solver for MATLAB
ACM Transactions on Mathematical Software (TOMS)
Generalized Hermitian Radial Basis Functions Implicits from polygonal mesh constraints
The Visual Computer: International Journal of Computer Graphics
Urban pattern: layout design by hierarchical domain splitting
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Geodesics in heat: A new approach to computing distance based on heat flow
ACM Transactions on Graphics (TOG)
Special Section on CAD/Graphics 2013: Confidence-driven image co-matting
Computers and Graphics
Parameter estimation in high dimensional Gaussian distributions
Statistics and Computing
Amesos2 and Belos: Direct and iterative solvers for large sparse linear systems
Scientific Programming
Topology optimization using an explicit interface representation
Structural and Multidisciplinary Optimization
Design multiple-layer gradient coils using least-squares finite element method
Structural and Multidisciplinary Optimization
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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\b when A is sparse symmetric positive definite, as well as in several other sparse matrix functions.