Matrix: GHS_psdef/ramage02
Description: FINITE ELEMENT PROBLEM. NAVIER-STOKES AND CONTINUITY EQUATIONS.
(undirected graph drawing) |
Matrix properties | |
number of rows | 16,830 |
number of columns | 16,830 |
nonzeros | 2,866,352 |
structural full rank? | yes |
structural rank | 16,830 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | no |
author | A. Ramage |
editor | N. Gould, Y. Hu, J. Scott |
date | 2004 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 17,785,665 |
Cholesky flop count | 2.9e+10 |
nnz(L+U), no partial pivoting, with AMD | 35,554,500 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 21,310,586 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 47,317,399 |
SVD-based statistics: | |
norm(A) | 199.574 |
min(svd(A)) | 7.3767e-111 |
cond(A) | 2.70546e+112 |
rank(A) | 4,562 |
sprank(A)-rank(A) | 12,268 |
null space dimension | 12,268 |
full numerical rank? | no |
singular value gap | 4.88564e+10 |
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.