Matrix: HB/west0989
Description: U 7 STAGE COLUMN SECTION, ALL SECTIONS RIGOROUS ( CHEM. ENG. )
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 989 |
number of columns | 989 |
nonzeros | 3,518 |
structural full rank? | yes |
structural rank | 989 |
# of blocks from dmperm | 270 |
# strongly connected comp. | 2 |
explicit zero entries | 19 |
nonzero pattern symmetry | 2% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Westerberg |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1983 |
kind | chemical process simulation problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 38,100 |
Cholesky flop count | 4.3e+06 |
nnz(L+U), no partial pivoting, with AMD | 75,211 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 3,614 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 9,236 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 19 explicit zero entries.
SVD-based statistics: | |
norm(A) | 319127 |
min(svd(A)) | 3.23645e-07 |
cond(A) | 9.86043e+11 |
rank(A) | 989 |
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: | 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.