Matrix: Grund/bayer08
Description: Unsymmetric Matrix bayer08, Bayer AG, F. Grund, Oct 1995.
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 3,008 |
number of columns | 3,008 |
nonzeros | 20,698 |
structural full rank? | yes |
structural rank | 3,008 |
# of blocks from dmperm | 1,273 |
# strongly connected comp. | 1 |
explicit zero entries | 6,878 |
nonzero pattern symmetry | 1% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | Bayer |
editor | F. Grund |
date | 1997 |
kind | chemical process simulation problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 589,860 |
Cholesky flop count | 3.5e+08 |
nnz(L+U), no partial pivoting, with AMD | 1,176,712 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 109,791 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 193,751 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6878 explicit zero entries.
SVD-based statistics: | |
norm(A) | 8.4398e+09 |
min(svd(A)) | 9.85e-19 |
cond(A) | 8.56832e+27 |
rank(A) | 2,563 |
sprank(A)-rank(A) | 445 |
null space dimension | 445 |
full numerical rank? | no |
singular value gap | 1.00037 |
singular values (MAT file): | click here |
SVD method used: | s = piro_band_svd (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.