Matrix: Mallya/lhr10c
Description: Light hydrocarbon recovery, corrected version of LHR10
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 10,672 |
number of columns | 10,672 |
nonzeros | 232,633 |
structural full rank? | yes |
structural rank | 10,672 |
# of blocks from dmperm | 908 |
# strongly connected comp. | 31 |
explicit zero entries | 0 |
nonzero pattern symmetry | 1% |
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 | 11,914,369 |
Cholesky flop count | 3.5e+10 |
nnz(L+U), no partial pivoting, with AMD | 23,818,066 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 370,538 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 847,036 |
SVD-based statistics: | |
norm(A) | 18.9066 |
min(svd(A)) | 2.55817e-13 |
cond(A) | 7.39067e+13 |
rank(A) | 10,670 |
sprank(A)-rank(A) | 2 |
null space dimension | 2 |
full numerical rank? | no |
singular value gap | 55.0044 |
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.