Matrix: Mallya/lhr14
Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 14,270 |
number of columns | 14,270 |
nonzeros | 305,750 |
structural full rank? | yes |
structural rank | 14,270 |
# of blocks from dmperm | 1,564 |
# strongly connected comp. | 31 |
explicit zero entries | 2,108 |
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 | 1994 |
kind | chemical process simulation problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 14270-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 21,108,917 |
Cholesky flop count | 8.5e+10 |
nnz(L+U), no partial pivoting, with AMD | 42,203,564 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 650,912 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,338,115 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2108 explicit zero entries.
SVD-based statistics: | |
norm(A) | 19.9128 |
min(svd(A)) | 2.32377e-22 |
cond(A) | 8.56917e+22 |
rank(A) | 13,996 |
sprank(A)-rank(A) | 274 |
null space dimension | 274 |
full numerical rank? | no |
singular value gap | 4.86889 |
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.