Matrix: HB/lns_131
Description: UNSYMMETRIC MATRIX FROM I.P.J. DEC 1982. LINEARIZED N-S. COMPRESSIBLE
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 131 |
number of columns | 131 |
nonzeros | 536 |
structural full rank? | yes |
structural rank | 131 |
# of blocks from dmperm | 65 |
# strongly connected comp. | 48 |
explicit zero entries | 0 |
nonzero pattern symmetry | 70% |
numeric value symmetry | 2% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | I. Jones |
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 | 560 |
Cholesky flop count | 3.4e+03 |
nnz(L+U), no partial pivoting, with AMD | 989 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 814 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,728 |
SVD-based statistics: | |
norm(A) | 9.7721e+09 |
min(svd(A)) | 7.64218e-06 |
cond(A) | 1.2787e+15 |
rank(A) | 125 |
sprank(A)-rank(A) | 6 |
null space dimension | 6 |
full numerical rank? | no |
singular value gap | 1.95598 |
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.