Matrix: Yoshiyasu/mesh_deform
Description: image mesh deformation problem, Y. Yoshiyasu, Keio Univ, Japan
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| (bipartite graph drawing) |
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| Matrix properties | |
| number of rows | 234,023 |
| number of columns | 9,393 |
| nonzeros | 853,829 |
| structural full rank? | yes |
| structural rank | 9,393 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | real |
| structure | rectangular |
| Cholesky candidate? | no |
| positive definite? | no |
| author | Y Yoshiyasu |
| editor | T. Davis |
| date | 2009 |
| kind | computer graphics/vision problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 234023-by-3 |
| D | sparse 234023-by-234023 |
Notes:
This problem one is template deformation using the vector field from the Yoshiyasu/image_interp problem, solved with v=(A2'*D*A2)/(A2'*D*b2), where D is a diagonal matrix containing weights. Structures of A2 and b2 are a little bit more complex than A1 and b1 (in the image_interp problem), but they are similar. Both systems are not very time-consuming themselves, but this process iterates more than 10 times for 10 views. [Note by T. Davis: since C is of high rank, update/downdate will not be effective, since it is meant for low-rank changes.]
| Ordering statistics: | result |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 199,077,634 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,122,590 |
| SVD-based statistics: | |
| norm(A) | 44.5338 |
| min(svd(A)) | 0.0381728 |
| cond(A) | 1166.64 |
| rank(A) | 9,393 |
| sprank(A)-rank(A) | 0 |
| null space dimension | 0 |
| full numerical rank? | yes |
| singular values (MAT file): | click here |
| SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
| status: | ok |

For a description of the statistics displayed above, click here.
Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.