Matrix: VanVelzen/std1_Jac3_db
Description: Chemical process simulation, Nils van Velzen (diagonal blocks only)
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 21,982 |
number of columns | 21,982 |
nonzeros | 531,826 |
structural full rank? | yes |
structural rank | 21,982 |
# of blocks from dmperm | 11,091 |
# strongly connected comp. | 11,091 |
explicit zero entries | 0 |
nonzero pattern symmetry | 36% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | N. van Velzen |
editor | T. Davis |
date | 2006 |
kind | chemical process simulation problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 21982-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 2,408,434 |
Cholesky flop count | 1.4e+09 |
nnz(L+U), no partial pivoting, with AMD | 4,794,886 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,446,824 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,992,985 |
SVD-based statistics: | |
norm(A) | 4.82686e+11 |
min(svd(A)) | 1.16449e-11 |
cond(A) | 4.14506e+22 |
rank(A) | 8,940 |
sprank(A)-rank(A) | 13,042 |
null space dimension | 13,042 |
full numerical rank? | no |
singular value gap | 1.0032 |
singular values (MAT file): | click here |
SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
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.