Matrix: Simon/raefsky3
Description: FLUID STRUCTURE INTERACTION TURBULENCE PROBLEM BY A. RAEFSKY, CENTRIC
(undirected graph drawing) |
Matrix properties | |
number of rows | 21,200 |
number of columns | 21,200 |
nonzeros | 1,488,768 |
structural full rank? | yes |
structural rank | 21,200 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 48% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Raefsky |
editor | H. Simon |
date | 1993 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 21200-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 4,177,384 |
Cholesky flop count | 1.4e+09 |
nnz(L+U), no partial pivoting, with AMD | 8,333,568 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 8,621,160 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 17,243,112 |
SVD-based statistics: | |
norm(A) | 7.98806 |
min(svd(A)) | 4.03303e-11 |
cond(A) | 1.98066e+11 |
rank(A) | 21,200 |
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 (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
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.