Matrix: HB/fs_760_3
Description: UNSYMMETRIC FACSIMILE CONVERGENCE MATRIX
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 760 |
number of columns | 760 |
nonzeros | 5,816 |
structural full rank? | yes |
structural rank | 760 |
# of blocks from dmperm | 17 |
# strongly connected comp. | 17 |
explicit zero entries | 160 |
nonzero pattern symmetry | 65% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Curtis |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1983 |
kind | subsequent 2D/3D problem |
2D/3D problem? | yes |
Notes:
next: - first: HB/fs_760_1
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 14,455 |
Cholesky flop count | 3.9e+05 |
nnz(L+U), no partial pivoting, with AMD | 28,150 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 18,178 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 34,184 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 160 explicit zero entries.
SVD-based statistics: | |
norm(A) | 3.09787e+08 |
min(svd(A)) | 3.11917e-12 |
cond(A) | 9.93172e+19 |
rank(A) | 381 |
sprank(A)-rank(A) | 379 |
null space dimension | 379 |
full numerical rank? | no |
singular value gap | 1.1497 |
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.