Matrix: Schenk_ISEI/igbt3
Description: Olaf Schenk, Univ. Basel: Integrated Systems Eng., San Jose, semiconductor device
(undirected graph drawing) |
Matrix properties | |
number of rows | 10,938 |
number of columns | 10,938 |
nonzeros | 130,500 |
structural full rank? | yes |
structural rank | 10,938 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 103,506 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 17% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | Integrated Sys. Eng. |
editor | O. Schenk |
date | 2003 |
kind | semiconductor device problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 10938-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 595,714 |
Cholesky flop count | 5.7e+07 |
nnz(L+U), no partial pivoting, with AMD | 1,180,490 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 758,836 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,450,496 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 103506 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.20386e+12 |
min(svd(A)) | 2.89354e-08 |
cond(A) | 4.16051e+19 |
rank(A) | 7,592 |
sprank(A)-rank(A) | 3,346 |
null space dimension | 3,346 |
full numerical rank? | no |
singular value gap | 1.00348 |
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.