1. © 2006 The MathWorks, Inc. A Summer experience at The MathWorks Malena I. Español Tufts University

2. 2 Outlines  The company  Timeline  Theory  Implementation  Results

3. 3 The Company Products

4. 4 Timeline JuneJulyAugust Start End MEX Files Tests Bugs More Tests Final Presentation Talk at IPTM Demos + Help ILU(0) ILUC MILU Code Product Code Complex Case CSC Build in

5. 5 Preconditioners

6. 6 ILU(0) A L U = * - R Preconditioner: M=L*U

7. 7 ILU(droptol) A L U Droptol=0 Droptol=0.01 Droptol=0.1

8. 8 Data Structure for Sparse Matrices: MATLAB functions

9. 9 Data Structure for Sparse Matrices: Compressed sparse by columns (CSC)

10. 10 ALGORITHMS  ILU(0) – JKI format – Data Structure – Trick to go through the nonzero elements  ILUC – Crout format – Data Structure  MILU

11. 11 Results...coming!

12. 12 Thanks !!!!