Matrix: Puri/ABACUS_shell_ld
Description: ABAQUS benchmark: pt.loaded fluid-filled spherical shell
(undirected graph drawing) |
Matrix properties | |
number of rows | 23,412 |
number of columns | 23,412 |
nonzeros | 218,484 |
structural full rank? | yes |
structural rank | 23,412 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 89% |
type | complex |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | S. Puri |
editor | T. Davis |
date | 2009 |
kind | model reduction problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | sparse 23412-by-1 |
c | sparse 1-by-23412 |
K | sparse 23412-by-23412 |
M | sparse 23412-by-23412 |
E | sparse 23412-by-23412 |
TSSOAR | full 901-by-1 |
Mzeros | sparse 23412-by-23412 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 988,060 |
Cholesky flop count | 1.1e+08 |
nnz(L+U), no partial pivoting, with AMD | 1,952,708 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,643,800 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,073,542 |
SVD-based statistics: | |
norm(A) | 1.12834e+13 |
min(svd(A)) | 0.000569176 |
cond(A) | 1.98241e+16 |
rank(A) | 2,048 |
sprank(A)-rank(A) | 21,364 |
null space dimension | 21,364 |
full numerical rank? | no |
singular value gap | 1.00025 |
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.