Matrix: Grund/bayer09
Description: Unsymmetric Matrix bayer09, Bayer AG, F. Grund, May 1995.
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 3,083 |
number of columns | 3,083 |
nonzeros | 11,767 |
structural full rank? | yes |
structural rank | 3,083 |
# of blocks from dmperm | 1,872 |
# strongly connected comp. | 2 |
explicit zero entries | 9,449 |
nonzero pattern symmetry | 2% |
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 |
Additional fields | size and type |
b | full 3083-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 488,537 |
Cholesky flop count | 2.8e+08 |
nnz(L+U), no partial pivoting, with AMD | 973,991 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 21,459 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 48,212 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 9449 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.20638e+09 |
min(svd(A)) | 5.3079e-12 |
cond(A) | 2.27279e+20 |
rank(A) | 2,692 |
sprank(A)-rank(A) | 391 |
null space dimension | 391 |
full numerical rank? | no |
singular value gap | 1.00347 |
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.