Matrix: Norris/heart1
Description: S.Norris, Univ. Auckland. Quasi-static FEM of a heart
(undirected graph drawing) |
Matrix properties | |
number of rows | 3,557 |
number of columns | 3,557 |
nonzeros | 1,385,317 |
structural full rank? | yes |
structural rank | 3,557 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 2,456 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | S. Norris |
editor | T. Davis |
date | 2003 |
kind | 2D/3D problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,931,855 |
Cholesky flop count | 1.3e+09 |
nnz(L+U), no partial pivoting, with AMD | 3,860,153 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 2,528,036 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 5,517,568 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2456 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.00609e+06 |
min(svd(A)) | 0.00218761 |
cond(A) | 4.59905e+08 |
rank(A) | 3,557 |
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.