Matrix: GHS_indef/aug3dcqp
Description: Gould, Hu, & Scott: expanded system-3D PDE (CUTEr)
(undirected graph drawing) |
Matrix properties | |
number of rows | 35,543 |
number of columns | 35,543 |
nonzeros | 128,115 |
structural full rank? | yes |
structural rank | 35,543 |
# of blocks from dmperm | 2 |
# strongly connected comp. | 2 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | N. Gould |
editor | N. Gould |
date | 1994 |
kind | 2D/3D problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 923,509 |
Cholesky flop count | 3.0e+08 |
nnz(L+U), no partial pivoting, with AMD | 1,811,475 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 6,562,149 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 11,649,713 |
SVD-based statistics: | |
norm(A) | 2.50594e+08 |
min(svd(A)) | 1.33519e-07 |
cond(A) | 1.87684e+15 |
rank(A) | 28,387 |
sprank(A)-rank(A) | 7,156 |
null space dimension | 7,156 |
full numerical rank? | no |
singular value gap | 1.00138 |
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.