Matrix: HB/nnc1374
Description: U NATIONAL NUCLEAR CORP. FISSION REACTOR SIESMIC STUDIES
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 1,374 |
number of columns | 1,374 |
nonzeros | 8,588 |
structural full rank? | yes |
structural rank | 1,374 |
# of blocks from dmperm | 57 |
# strongly connected comp. | 1 |
explicit zero entries | 18 |
nonzero pattern symmetry | 82% |
numeric value symmetry | 59% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | National Nuclear Corp. |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1982 |
kind | 2D/3D problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 13,888 |
Cholesky flop count | 2.2e+05 |
nnz(L+U), no partial pivoting, with AMD | 26,402 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 34,806 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 76,396 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 18 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1102.12 |
min(svd(A)) | 2.9585e-12 |
cond(A) | 3.72526e+14 |
rank(A) | 1,308 |
sprank(A)-rank(A) | 66 |
null space dimension | 66 |
full numerical rank? | no |
singular value gap | 5.69136 |
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.