Matrix: Hohn/fd15
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 | 11,532 |
number of columns | 11,532 |
nonzeros | 44,206 |
structural full rank? | yes |
structural rank | 11,532 |
# of blocks from dmperm | 887 |
# 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 11532-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 4,048,671 |
Cholesky flop count | 5.1e+09 |
nnz(L+U), no partial pivoting, with AMD | 8,085,810 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 453,719 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 885,744 |
SVD-based statistics: | |
norm(A) | 1.93793e+08 |
min(svd(A)) | 0.00395196 |
cond(A) | 4.90371e+10 |
rank(A) | 11,532 |
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.