Matrix: Zitney/hydr1
Description: Chemical process separation, Steve Zitney, Cray Research
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 5,308 |
number of columns | 5,308 |
nonzeros | 22,680 |
structural full rank? | yes |
structural rank | 5,308 |
# of blocks from dmperm | 1,076 |
# strongly connected comp. | 1 |
explicit zero entries | 1,072 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | S. Zitney |
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 | 2,032,542 |
Cholesky flop count | 2.4e+09 |
nnz(L+U), no partial pivoting, with AMD | 4,059,776 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 29,368 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 73,961 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1072 explicit zero entries.
SVD-based statistics: | |
norm(A) | 2.99217e+06 |
min(svd(A)) | 1.27173e-08 |
cond(A) | 2.35284e+14 |
rank(A) | 5,191 |
sprank(A)-rank(A) | 117 |
null space dimension | 117 |
full numerical rank? | no |
singular value gap | 1.03576 |
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.