The Matrix Market

Home Search Browse Resources

NOS7: Lanczos with partial reorthogonalization
Finite difference approximation to diffusion equation with varying diffusivity in a 3D unit cube with Dirichlet boundary conditions.

from set LANPRO, from the Harwell-Boeing Collection

[Download] [Visualizations] [Matrix Statistics] [Set Information]


Download as

Help: My browser can't read the compressed data files. What now?


Visualizations

Click on image to get an enlarged version. Click on label to get an explanation.

Structure Plot City Plot
structure plot city plot
3D Interactive City Plot

[ VRML Version 2, gzipped ] 125825 bytes


Matrix Statistics

Click on label to get an explanation.

Size Type
729 x 729, 2673 entries real symmetric positive definite
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
4617 729 1944 1944 0
Column Data Row Data
Average nonzeros per column : 6.3
Standard deviation : 0.72

indexnonzeros
longest92 7
shortest1 4

Average nonzeros per row : 6.3
Standard deviation : 0.72

indexnonzeros
longest92 7
shortest1 4

Bandwidths Profile Storage
lower82 upper82
average |i-j|26 std.dev.35
minmaxave.std.dev.
lower bandwidth1 82 74 23
upper bandwidth1 82 74 23

Symmetric skyline storage requirement:53873

Heaviest diagonals
offset from main0 -81 -9 -1 1 9 81
nonzeros729 648 648 648 648 648 648
accumulated percent15.7929.8243.8657.8971.9385.96100.00

Top 7 out of 7 nonvoid diagonals.
Conditioning
Frobenius norm3e+07 condition number (est.)4.1e+09
2-norm (est.)9.9e+06 diagonal dominanceno


Set Information

Set LANPRO
Source: Horst Simon, Boeing Computer Services, Seattle, Washington.
Discipline:Linear equations in structural engineering
Accession:Spring 1982


The Matrix Market is a service of the Mathematical and Computational Sciences Division / Information Technology Laboratory / National Institute of Standards and Technology.

[ Home ] [ Search ] [ Browse ] [ Resources ]

Last change in this page: Wed Sep 22 13:33:41 US/Eastern 2004 [Comments: ]