Matrix: Shyy/shyy41
Description: Wei Shyy, Univ. Florida. CFD/Navier-Stokes,viscous flow, fully coupled
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 4,720 |
number of columns | 4,720 |
nonzeros | 20,042 |
structural full rank? | yes |
structural rank | 4,720 |
# of blocks from dmperm | 1,641 |
# strongly connected comp. | 81 |
explicit zero entries | 0 |
nonzero pattern symmetry | 72% |
numeric value symmetry | 18% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | W. Shyy |
editor | T. Davis |
date | 1994 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 82,741 |
Cholesky flop count | 2.9e+06 |
nnz(L+U), no partial pivoting, with AMD | 160,762 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 97,599 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 184,109 |
SVD-based statistics: | |
norm(A) | 188.7 |
min(svd(A)) | 4.93428e-20 |
cond(A) | 3.82427e+21 |
rank(A) | 4,712 |
sprank(A)-rank(A) | 8 |
null space dimension | 8 |
full numerical rank? | no |
singular value gap | 13091.6 |
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.