Matrix: Mallya/lhr07
Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 7,337 |
number of columns | 7,337 |
nonzeros | 154,660 |
structural full rank? | yes |
structural rank | 7,337 |
# of blocks from dmperm | 676 |
# strongly connected comp. | 31 |
explicit zero entries | 1,848 |
nonzero pattern symmetry | 2% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | J. Mallya |
editor | T. Davis |
date | 1994 |
kind | chemical process simulation problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 7337-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 5,655,624 |
Cholesky flop count | 1.1e+10 |
nnz(L+U), no partial pivoting, with AMD | 11,303,911 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 260,245 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 618,397 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1848 explicit zero entries.
SVD-based statistics: | |
norm(A) | 18.3146 |
min(svd(A)) | 4.1592e-21 |
cond(A) | 4.40339e+21 |
rank(A) | 7,315 |
sprank(A)-rank(A) | 22 |
null space dimension | 22 |
full numerical rank? | no |
singular value gap | 6905.46 |
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.