Matrix: Okunbor/aft02
Description: Acoustic Radiation around aft duct fan. D. Okunbor, Univ Missouri-Rolla
(undirected graph drawing) |
Matrix properties | |
number of rows | 8,184 |
number of columns | 8,184 |
nonzeros | 127,762 |
structural full rank? | yes |
structural rank | 8,184 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 100% |
type | complex |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | W. Eversman, D. Okunbor |
editor | T. Davis |
date | 2001 |
kind | acoustics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 300,506 |
Cholesky flop count | 1.9e+07 |
nnz(L+U), no partial pivoting, with AMD | 592,828 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 558,566 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,326,827 |
SVD-based statistics: | |
norm(A) | 2e+13 |
min(svd(A)) | 0.00591482 |
cond(A) | 3.38134e+15 |
rank(A) | 654 |
sprank(A)-rank(A) | 7,530 |
null space dimension | 7,530 |
full numerical rank? | no |
singular value gap | 1.00303 |
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.