Matrix: Zitney/extr1b
Description: Chemical process separation sequence, S. Zitney, Cray Research
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 2,836 |
number of columns | 2,836 |
nonzeros | 10,965 |
structural full rank? | yes |
structural rank | 2,836 |
# of blocks from dmperm | 869 |
# strongly connected comp. | 1 |
explicit zero entries | 439 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | S. Zitney |
editor | S. Hadfield, T. Davis |
date | 1994 |
kind | chemical process simulation problem sequence |
2D/3D problem? | no |
Additional fields | size and type |
S | sparse 2836-by-2836 |
A | cell 44-by-1 |
Zeros | cell 44-by-1 |
Notes:
aux.A{i}: ith matrix in sequence. aux.Zeros{i}: binary pattern of explicit zero entries provided in original data. aux.S = union of all patterns.
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 530,459 |
Cholesky flop count | 3.0e+08 |
nnz(L+U), no partial pivoting, with AMD | 1,058,082 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 12,020 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 29,890 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 439 explicit zero entries.
SVD-based statistics: | |
norm(A) | 741300 |
min(svd(A)) | 2.197e-07 |
cond(A) | 3.37414e+12 |
rank(A) | 2,835 |
sprank(A)-rank(A) | 1 |
null space dimension | 1 |
full numerical rank? | no |
singular value gap | 2.72674 |
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.