Matrix: Nemeth/nemeth21
Description: Newton-Schultz iteration, Z_k+1=Z_k+(1/2)*(I-(Z_k)^2)*Z_k. This is Z_21
(undirected graph drawing) |
Matrix properties | |
number of rows | 9,506 |
number of columns | 9,506 |
nonzeros | 1,173,746 |
structural full rank? | yes |
structural rank | 9,506 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | K. Nemeth |
editor | T. Davis |
date | 1999 |
kind | subsequent theoretical/quantum chemistry problem |
2D/3D problem? | no |
Notes:
next: Nemeth/nemeth22 first: Nemeth/nemeth01
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 621,655 |
Cholesky flop count | 4.1e+07 |
nnz(L+U), no partial pivoting, with AMD | 1,233,804 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 640,471 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,297,263 |
SVD-based statistics: | |
norm(A) | 0.999999 |
min(svd(A)) | 0.637623 |
cond(A) | 1.56832 |
rank(A) | 9,506 |
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.