Matrix: Bai/rdb2048
Description: REACTION-DIFFUSION BRUSSELATOR MODEL
(undirected graph drawing) |
Matrix properties | |
number of rows | 2,048 |
number of columns | 2,048 |
nonzeros | 12,032 |
structural full rank? | yes |
structural rank | 2,048 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 79% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | K. Meerbergen |
editor | Z. Bai, D. Day, J. Demmel, J. Dongarra |
date | 1994 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Notes:
This matrix (Bai/rdb2048) is the same as the original NEP RDB2048L matrix (as of Nov 2006). Either the name changed since 1996 and the L was added in the NEP collection, or the L was dropped when the matrix as added to the UF Sparse Matrix Collection in 1996. The name cannot be corrected here without disrupting the UF Sparse Matrix Collection. To make matters worse, there is now a matrix in the NEP collection with the name RDB2048, as of Nov 2006. The NEP RDB2048 matrix was added to this collection in Nov 2006, as Bai/rdb2038_noL matrix.
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 42,141 |
Cholesky flop count | 1.8e+06 |
nnz(L+U), no partial pivoting, with AMD | 82,234 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 76,629 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 140,021 |
SVD-based statistics: | |
norm(A) | 73.7649 |
min(svd(A)) | 0.100922 |
cond(A) | 730.909 |
rank(A) | 2,048 |
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 (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.