Matrix: FIDAP/ex40
Description: TEST MATRIX FROM FIDAP: EX40.MAT
(undirected graph drawing) |
Matrix properties | |
number of rows | 7,740 |
number of columns | 7,740 |
nonzeros | 456,188 |
structural full rank? | yes |
structural rank | 7,740 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 1,824 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 77% |
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 | 1,612,967 |
Cholesky flop count | 5.8e+08 |
nnz(L+U), no partial pivoting, with AMD | 3,218,194 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,408,294 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,107,372 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1824 explicit zero entries.
SVD-based statistics: | |
norm(A) | 7.24983 |
min(svd(A)) | 2.6331e-06 |
cond(A) | 2.75335e+06 |
rank(A) | 7,740 |
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.