Matrix: Li/li
Description: 3D Finite element matrix, magnetohydrodynamic problem with 5 variables
(undirected graph drawing) |
Matrix properties | |
number of rows | 22,695 |
number of columns | 22,695 |
nonzeros | 1,215,181 |
structural full rank? | yes |
structural rank | 22,695 |
# of blocks from dmperm | 4 |
# strongly connected comp. | 4 |
explicit zero entries | 135,128 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 87% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | B. Li |
editor | T. Davis |
date | 1999 |
kind | electromagnetics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 30,408,095 |
Cholesky flop count | 7.9e+10 |
nnz(L+U), no partial pivoting, with AMD | 60,793,495 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 33,668,257 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 56,815,640 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 135128 explicit zero entries.
SVD-based statistics: | |
norm(A) | 4.35984e+08 |
min(svd(A)) | 3.57095e-06 |
cond(A) | 1.22092e+14 |
rank(A) | 22,640 |
sprank(A)-rank(A) | 55 |
null space dimension | 55 |
full numerical rank? | no |
singular value gap | 1.02609 |
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.