Matrix: HB/bcsstm13
Description: SYMMETRIC MASS MATRIX, FLUID FLOW GENERALIZED EIGENVALUES
(undirected graph drawing) |
Matrix properties | |
number of rows | 2,003 |
number of columns | 2,003 |
nonzeros | 21,181 |
structural full rank? | no |
structural rank | 1,241 |
# of blocks from dmperm | 574 |
# strongly connected comp. | 1,334 |
explicit zero entries | 762 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | J. Lewis |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1982 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 44,844 |
Cholesky flop count | 4.2e+06 |
nnz(L+U), no partial pivoting, with AMD | 87,685 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 50,629 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 99,266 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 762 explicit zero entries.
SVD-based statistics: | |
norm(A) | 257.927 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 1,241 |
sprank(A)-rank(A) | 0 |
null space dimension | 762 |
full numerical rank? | no |
singular value gap | 6.62076e+11 |
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.