ACM Transactions on Mathematical Software (TOMS)
Interactive topology-aware surface reconstruction
ACM SIGGRAPH 2007 papers
Efficient representation and analysis of power grids
Proceedings of the conference on Design, automation and test in Europe
Optimization Methods & Software - THE JOINT EUROPT-OMS CONFERENCE ON OPTIMIZATION, 4-7 JULY, 2007, PRAGUE, CZECH REPUBLIC, PART II
Regularisation of 3D Signed Distance Fields
SCIA '09 Proceedings of the 16th Scandinavian Conference on Image Analysis
Geometry-aware direction field processing
ACM Transactions on Graphics (TOG)
A sparse counterpart of Reichel and Gragg's package QRUP
Journal of Computational and Applied Mathematics
ℓ1-Sparse reconstruction of sharp point set surfaces
ACM Transactions on Graphics (TOG)
Efficient simulation of power grids
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems - Special section on the ACM IEEE international conference on formal methods and models for codesign (MEMOCODE) 2009
Technical Section: Fitting 3D garment models onto individual human models
Computers and Graphics
Customizing 3D garments based on volumetric deformation
Computers in Industry
Design multiple-layer gradient coils using least-squares finite element method
Structural and Multidisciplinary Optimization
| Hi-index | 0.00 |
Given a sparse, symmetric positive definite matrix C and an associated sparse Cholesky factorization LDL$\tr$, we develop sparse techniques for updating the factorization after a symmetric modification of a row and column of C. We show how the modification in the Cholesky factorization associated with this rank-2 modification of C can be computed efficiently using a sparse rank-1 technique developed in [T. A. Davis and W. W. Hager, SIAM J. Matrix Anal. Appl., 20 (1999), pp. 606--627]. We also determine how the solution of a linear system Lx = b changes after changing a row and column of C or after a rank-r change in C.