Matrix: Schenk_IBMNA/c-54
Description: IBM TJ Watson, non-linear optimization
(undirected graph drawing) |
Matrix properties | |
number of rows | 31,793 |
number of columns | 31,793 |
nonzeros | 385,987 |
structural full rank? | yes |
structural rank | 31,793 |
# of blocks from dmperm | 20 |
# strongly connected comp. | 20 |
explicit zero entries | 5,706 |
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 31793-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 662,692 |
Cholesky flop count | 6.7e+07 |
nnz(L+U), no partial pivoting, with AMD | 1,293,591 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 12,893,737 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 20,126,280 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 5706 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.82553e+08 |
min(svd(A)) | 9.99998e-09 |
cond(A) | 1.82554e+16 |
rank(A) | 31,404 |
sprank(A)-rank(A) | 389 |
null space dimension | 389 |
full numerical rank? | no |
singular value gap | 1.11111 |
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.