Matrix: DNVS/ship_001
Description: DNV-Ex 2 : Ship structure, predesign model-1999-01-17
(undirected graph drawing) |
Matrix properties | |
number of rows | 34,920 |
number of columns | 34,920 |
nonzeros | 3,896,496 |
structural full rank? | yes |
structural rank | 34,920 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 747,734 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | C. Damhaug |
editor | J. Koster |
date | 1999 |
kind | structural problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 16,410,406 |
Cholesky flop count | 1.2e+10 |
nnz(L+U), no partial pivoting, with AMD | 32,785,892 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 20,435,201 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 47,931,029 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 747734 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.7879e+12 |
min(svd(A)) | 0.564658 |
cond(A) | 3.16634e+12 |
rank(A) | 34,888 |
sprank(A)-rank(A) | 32 |
null space dimension | 32 |
full numerical rank? | no |
singular value gap | 1.08248 |
singular values (MAT file): | click here |
SVD method used: | s = svd (full (A)) |
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.