Matrix: Simon/raefsky5
Description: LANDING HYDROFOIL AIRPLANE FSE MODEL, ARTHUR RAEFSKY, CENTRIC ENG.
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 6,316 |
number of columns | 6,316 |
nonzeros | 167,178 |
structural full rank? | yes |
structural rank | 6,316 |
# of blocks from dmperm | 6,316 |
# strongly connected comp. | 6,316 |
explicit zero entries | 1,480 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Raefsky |
editor | H. Simon |
date | 1993 |
kind | structural problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 6316-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 871,032 |
Cholesky flop count | 1.9e+08 |
nnz(L+U), no partial pivoting, with AMD | 1,735,748 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 335,143 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,329,503 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1480 explicit zero entries.
SVD-based statistics: | |
norm(A) | 2.02494e+11 |
min(svd(A)) | 0.000522981 |
cond(A) | 3.87192e+14 |
rank(A) | 1,801 |
sprank(A)-rank(A) | 4,515 |
null space dimension | 4,515 |
full numerical rank? | no |
singular value gap | 1.00781 |
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.