Matrix: Mallya/lhr04
Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 4,101 |
number of columns | 4,101 |
nonzeros | 81,057 |
structural full rank? | yes |
structural rank | 4,101 |
# of blocks from dmperm | 443 |
# strongly connected comp. | 31 |
explicit zero entries | 1,625 |
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 4101-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,867,599 |
Cholesky flop count | 2.0e+09 |
nnz(L+U), no partial pivoting, with AMD | 3,731,097 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 135,543 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 333,874 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1625 explicit zero entries.
SVD-based statistics: | |
norm(A) | 13.4141 |
min(svd(A)) | 3.25413e-18 |
cond(A) | 4.12219e+18 |
rank(A) | 4,096 |
sprank(A)-rank(A) | 5 |
null space dimension | 5 |
full numerical rank? | no |
singular value gap | 41914.2 |
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.