The Matrix Market

Home Search Browse Resources

NOS1: Lanczos with partial reorthogonalization
Finite element approximation to biharmonic operator on a beam with one end free and one end fixed. 80 elements with 3 DOF per node.

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 ] 151918 bytes


Matrix Statistics

Click on label to get an explanation.

Size Type
237 x 237, 627 entries real symmetric positive definite
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
1017 237 390 390 0
Column Data Row Data
Average nonzeros per column : 4.3
Standard deviation : 0.97

indexnonzeros
longest5 5
shortest1 2

Average nonzeros per row : 4.3
Standard deviation : 0.97

indexnonzeros
longest5 5
shortest1 2

Bandwidths Profile Storage
lower5 upper5
average |i-j|2.3 std.dev.1.4
minmaxave.std.dev.
lower bandwidth1 5 4.3 0.6
upper bandwidth1 5 4.3 0.6

Symmetric skyline storage requirement:1017

Heaviest diagonals
offset from main0 -3 3 -4 -2 2 4
nonzeros237 234 234 78 78 78 78
accumulated percent23.3046.3169.3276.9984.6692.33100.00

Top 7 out of 7 nonvoid diagonals.
Conditioning
Frobenius norm1.3e+10 condition number (est.)2.5e+07
2-norm (est.)2.5e+09 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: ]