Matrix: GHS_indef/mario001
Description: SMALLER MATRIX FROM MARIO FOR WHICH MA47 ANALYSE IS SLOW
(undirected graph drawing) |
Matrix properties | |
number of rows | 38,434 |
number of columns | 38,434 |
nonzeros | 204,912 |
structural full rank? | yes |
structural rank | 38,434 |
# of blocks from dmperm | 312 |
# strongly connected comp. | 312 |
explicit zero entries | 1,244 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | |
editor | N. Gould, Y. Hu, J. Scott |
date | 2004 |
kind | 2D/3D problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 415,067 |
Cholesky flop count | 1.8e+07 |
nnz(L+U), no partial pivoting, with AMD | 791,700 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,193,383 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,904,746 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1244 explicit zero entries.
SVD-based statistics: | |
norm(A) | 2.6078 |
min(svd(A)) | 0.000139406 |
cond(A) | 18706.5 |
rank(A) | 38,434 |
sprank(A)-rank(A) | 0 |
null space dimension | 0 |
full numerical rank? | yes |
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.