Matrix: Mallya/lhr07c
Description: Light hydrocarbon recovery, corrected version of LHR07
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 7,337 |
number of columns | 7,337 |
nonzeros | 156,508 |
structural full rank? | yes |
structural rank | 7,337 |
# of blocks from dmperm | 672 |
# strongly connected comp. | 31 |
explicit zero entries | 0 |
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 | 1997 |
kind | chemical process simulation problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 5,667,528 |
Cholesky flop count | 1.1e+10 |
nnz(L+U), no partial pivoting, with AMD | 11,327,719 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 269,468 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 603,211 |
SVD-based statistics: | |
norm(A) | 18.3146 |
min(svd(A)) | 7.65545e-13 |
cond(A) | 2.39236e+13 |
rank(A) | 7,336 |
sprank(A)-rank(A) | 1 |
null space dimension | 1 |
full numerical rank? | no |
singular value gap | 5128.12 |
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.