Matrix: FIDAP/ex19
Description: TEST MATRIX FROM FIDAP: EX19.MAT
(undirected graph drawing) |
Matrix properties | |
number of rows | 12,005 |
number of columns | 12,005 |
nonzeros | 259,577 |
structural full rank? | yes |
structural rank | 12,005 |
# of blocks from dmperm | 607 |
# strongly connected comp. | 607 |
explicit zero entries | 302 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 43% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Baggag, Y. Saad |
editor | A. Baggag, Y. Saad |
date | 1994 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 300,771 |
Cholesky flop count | 1.1e+07 |
nnz(L+U), no partial pivoting, with AMD | 589,537 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 395,455 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,100,667 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 302 explicit zero entries.
SVD-based statistics: | |
norm(A) | 5.11197e+07 |
min(svd(A)) | 2.37172e-05 |
cond(A) | 2.15539e+12 |
rank(A) | 11,966 |
sprank(A)-rank(A) | 39 |
null space dimension | 39 |
full numerical rank? | no |
singular value gap | 1.02238 |
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.