Matrix: Rajat/rajat22
Description: Rajat/rajat22 circuit simulation matrix
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 39,899 |
number of columns | 39,899 |
nonzeros | 195,429 |
structural full rank? | yes |
structural rank | 39,899 |
# of blocks from dmperm | 4,466 |
# strongly connected comp. | 1,384 |
explicit zero entries | 1,835 |
nonzero pattern symmetry | 98% |
numeric value symmetry | 33% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | Rajat |
editor | T. Davis |
date | 2006 |
kind | circuit simulation problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 151,808 |
Cholesky flop count | 7.3e+05 |
nnz(L+U), no partial pivoting, with AMD | 263,717 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 4,714,724 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 23,415,783 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1835 explicit zero entries.
SVD-based statistics: | |
norm(A) | 998383 |
min(svd(A)) | 4.38587e-10 |
cond(A) | 2.27636e+15 |
rank(A) | 39,827 |
sprank(A)-rank(A) | 72 |
null space dimension | 72 |
full numerical rank? | no |
singular value gap | 1.03338 |
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.