Matrix: HB/plat1919
Description: SPLATZMAN SYMMETRIC FINITE DIFFERENCE THREE OCEAN MODEL
(undirected graph drawing) |
Matrix properties | |
number of rows | 1,919 |
number of columns | 1,919 |
nonzeros | 32,399 |
structural full rank? | yes |
structural rank | 1,919 |
# 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? | yes |
positive definite? | yes |
author | J. Lewis |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1975 |
kind | 2D/3D problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 67,262 |
Cholesky flop count | 3.0e+06 |
nnz(L+U), no partial pivoting, with AMD | 132,605 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 77,872 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 147,384 |
SVD-based statistics: | |
norm(A) | 2.92164 |
min(svd(A)) | 5.44618e-17 |
cond(A) | 5.36456e+16 |
rank(A) | 1,916 |
sprank(A)-rank(A) | 3 |
null space dimension | 3 |
full numerical rank? | no |
singular value gap | 64.8543 |
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.