Matrix: HB/saylr3
Description: UNSYMMETRIC MATRIX OF PAUL SAYLOR - 10 BY 10 BY 10 3D GRID MAY, 1983
(undirected graph drawing) |
Matrix properties | |
number of rows | 1,000 |
number of columns | 1,000 |
nonzeros | 3,750 |
structural full rank? | yes |
structural rank | 1,000 |
# of blocks from dmperm | 318 |
# strongly connected comp. | 318 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | R. Kendall, D. Peaceman, H. Stone, W. Watts |
editor | P. Saylor |
date | 1984 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 9,590 |
Cholesky flop count | 2.5e+05 |
nnz(L+U), no partial pivoting, with AMD | 18,180 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 17,636 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 32,079 |
SVD-based statistics: | |
norm(A) | 5.04487 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 998 |
sprank(A)-rank(A) | 2 |
null space dimension | 2 |
full numerical rank? | no |
singular value gap | 3.4741e+12 |
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.