Matrix: Simon/raefsky2
Description: INCOMPRESSIBLE FLOW IN PRESSURE DRIVEN PIPE, T=25, A. RAEFSKY, CENTRIC
(undirected graph drawing) |
Matrix properties | |
number of rows | 3,242 |
number of columns | 3,242 |
nonzeros | 293,551 |
structural full rank? | yes |
structural rank | 3,242 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 725 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 10% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Raefsky |
editor | H. Simon |
date | 1993 |
kind | subsequent computational fluid dynamics problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 3242-by-1 |
Notes:
next: - first: Simon/raefsky1
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,123,931 |
Cholesky flop count | 5.4e+08 |
nnz(L+U), no partial pivoting, with AMD | 2,244,620 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,854,625 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,424,313 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 725 explicit zero entries.
SVD-based statistics: | |
norm(A) | 3.72481 |
min(svd(A)) | 0.000876027 |
cond(A) | 4251.94 |
rank(A) | 3,242 |
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.