Matrix: Simon/olafu
Description: STRUCTURE FROM NASA LANGLEY, ACCURACY PROBLEM ON Y-MP
(undirected graph drawing) |
Matrix properties | |
number of rows | 16,146 |
number of columns | 16,146 |
nonzeros | 1,015,156 |
structural full rank? | yes |
structural rank | 16,146 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | H. Simon |
editor | H. Simon |
date | 1993 |
kind | structural problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 16146-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 3,095,636 |
Cholesky flop count | 1.1e+09 |
nnz(L+U), no partial pivoting, with AMD | 6,175,126 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 3,459,709 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 7,347,770 |
SVD-based statistics: | |
norm(A) | 9.4787e+11 |
min(svd(A)) | 1.24542 |
cond(A) | 7.61085e+11 |
rank(A) | 16,145 |
sprank(A)-rank(A) | 1 |
null space dimension | 1 |
full numerical rank? | no |
singular value gap | 2.18987 |
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.