Matrix: HB/will57
Description: UNSYMMETRIC PATTERN OF ORDER 57 GIVEN BY WILLOUGHBY IN REID, 1970
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 57 |
number of columns | 57 |
nonzeros | 281 |
structural full rank? | yes |
structural rank | 57 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 87% |
numeric value symmetry | 87% |
type | binary |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | R. Willoughby |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1970 |
kind | semiconductor device problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 191 |
Cholesky flop count | 6.8e+02 |
nnz(L+U), no partial pivoting, with AMD | 325 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 235 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 450 |
SVD-based statistics: | |
norm(A) | 6.14869 |
min(svd(A)) | 2.24858e-17 |
cond(A) | 2.73448e+17 |
rank(A) | 50 |
sprank(A)-rank(A) | 7 |
null space dimension | 7 |
full numerical rank? | no |
singular value gap | 1.95656e+14 |
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.