Matrix: Schenk_IBMNA/c-41
Description: IBM TJ Watson, non-linear optimization
(undirected graph drawing) |
Matrix properties | |
number of rows | 9,769 |
number of columns | 9,769 |
nonzeros | 101,635 |
structural full rank? | yes |
structural rank | 9,769 |
# of blocks from dmperm | 8 |
# strongly connected comp. | 8 |
explicit zero entries | 110 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | IBM |
editor | O. Schenk |
date | 2006 |
kind | optimization problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 9769-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 153,504 |
Cholesky flop count | 1.0e+07 |
nnz(L+U), no partial pivoting, with AMD | 297,239 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,630,571 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,709,653 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 110 explicit zero entries.
SVD-based statistics: | |
norm(A) | 47781.9 |
min(svd(A)) | 1.00001e-08 |
cond(A) | 4.77816e+12 |
rank(A) | 9,705 |
sprank(A)-rank(A) | 64 |
null space dimension | 64 |
full numerical rank? | no |
singular value gap | 2.55344 |
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.