Matrix: Andrianov/pattern1
Description: pattern1 matrix from Alexander Andrianov, SAS Institute Inc.
(undirected graph drawing) |
Matrix properties | |
number of rows | 19,242 |
number of columns | 19,242 |
nonzeros | 9,323,432 |
structural full rank? | yes |
structural rank | 19,242 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | no |
author | A. Andrianov |
editor | T. Davis |
date | 2006 |
kind | optimization problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 48,387,996 |
Cholesky flop count | 2.5e+11 |
nnz(L+U), no partial pivoting, with AMD | 96,756,750 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 135,423,105 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 185,136,884 |
SVD-based statistics: | |
norm(A) | 770.814 |
min(svd(A)) | 3.01161e-82 |
cond(A) | 2.55947e+84 |
rank(A) | 11,293 |
sprank(A)-rank(A) | 7,949 |
null space dimension | 7,949 |
full numerical rank? | no |
singular value gap | 4.08344e+08 |
singular values (MAT file): | click here |
SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
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.