Matrix: GHS_indef/bloweybl
Description: MATRIX FOR WHICH EARLY VERSION OF MA57 FAILS
(undirected graph drawing) |
Matrix properties | |
number of rows | 30,003 |
number of columns | 30,003 |
nonzeros | 109,999 |
structural full rank? | no |
structural rank | 30,002 |
# of blocks from dmperm | 20,003 |
# strongly connected comp. | 2 |
explicit zero entries | 10,001 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | J. Blowey |
editor | N. Gould |
date | 1992 |
kind | materials problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 99,999 |
Cholesky flop count | 3.6e+05 |
nnz(L+U), no partial pivoting, with AMD | 169,995 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 79,992 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 100,139,986 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 10001 explicit zero entries.
SVD-based statistics: | |
norm(A) | 100.008 |
min(svd(A)) | 4.33152e-19 |
cond(A) | 2.30883e+20 |
rank(A) | 20,028 |
sprank(A)-rank(A) | 9,974 |
null space dimension | 9,975 |
full numerical rank? | no |
singular value gap | 1.16396 |
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.