Matrix: Hohn/fd18
Description: M. Hohn, Univ Utah. Single-material crack problem, finite diff log grid
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 16,428 |
number of columns | 16,428 |
nonzeros | 63,406 |
structural full rank? | yes |
structural rank | 16,428 |
# of blocks from dmperm | 1,061 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | M. Hohn |
editor | T. Davis |
date | 2003 |
kind | materials problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 16428-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 8,300,663 |
Cholesky flop count | 1.5e+10 |
nnz(L+U), no partial pivoting, with AMD | 16,584,898 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 766,230 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,452,963 |
SVD-based statistics: | |
norm(A) | 5.44158e+08 |
min(svd(A)) | 0.00836892 |
cond(A) | 6.50213e+10 |
rank(A) | 16,428 |
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 (A)) ; |
status: | SVD did not converge. |
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.