Matrix: HB/mbeause
Description: U NONSYMMETRIC MATRIX U.S. ECONOMY 1972 -SZYLD-I.E.A.-NYU-
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 496 |
number of columns | 496 |
nonzeros | 41,063 |
structural full rank? | no |
structural rank | 447 |
# of blocks from dmperm | 28 |
# strongly connected comp. | 66 |
explicit zero entries | 0 |
nonzero pattern symmetry | 22% |
numeric value symmetry | 1% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | D. Szyld |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1982 |
kind | economic problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 68,611 |
Cholesky flop count | 1.3e+07 |
nnz(L+U), no partial pivoting, with AMD | 136,726 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 67,408 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 120,300 |
SVD-based statistics: | |
norm(A) | 21755.1 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 447 |
sprank(A)-rank(A) | 0 |
null space dimension | 49 |
full numerical rank? | no |
singular value gap | 2.9819e+09 |
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.