Matrix: Bai/tols2000
Description: TOLOSA MATRIX
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 2,000 |
number of columns | 2,000 |
nonzeros | 5,184 |
structural full rank? | yes |
structural rank | 2,000 |
# of blocks from dmperm | 1,983 |
# strongly connected comp. | 1,529 |
explicit zero entries | 0 |
nonzero pattern symmetry | 34% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | S. Godet-Thobie |
editor | Z. Bai, D. Day, J. Demmel, J. Dongarra |
date | 1991 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 4,977 |
Cholesky flop count | 3.5e+04 |
nnz(L+U), no partial pivoting, with AMD | 7,954 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 4,479 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 7,533 |
SVD-based statistics: | |
norm(A) | 5.96336e+06 |
min(svd(A)) | 0.995312 |
cond(A) | 5.99145e+06 |
rank(A) | 2,000 |
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.