Matrix: Bai/mhd4800b
Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMICS
(undirected graph drawing) |
Matrix properties | |
number of rows | 4,800 |
number of columns | 4,800 |
nonzeros | 27,520 |
structural full rank? | yes |
structural rank | 4,800 |
# of blocks from dmperm | 14 |
# strongly connected comp. | 14 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | A. Booten, M. Kooper, H. van der Vorst, S. Poedts, J. Goedbloed |
editor | Z. Bai, D. Day, J. Demmel, J. Dongarra |
date | 1994 |
kind | electromagnetics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 16,160 |
Cholesky flop count | 6.0e+04 |
nnz(L+U), no partial pivoting, with AMD | 27,520 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 16,160 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 28,076 |
SVD-based statistics: | |
norm(A) | 2.19627 |
min(svd(A)) | 2.68988e-14 |
cond(A) | 8.16492e+13 |
rank(A) | 4,798 |
sprank(A)-rank(A) | 2 |
null space dimension | 2 |
full numerical rank? | no |
singular value gap | 2.2693 |
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.