The Matrix Market

Home Search Browse Resources

BCSSTK08: BCS Structural Engineering Matrices (eigenvalue matrices)
TV studio

from set BCSSTRUC1, from the Harwell-Boeing Collection

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


From generalized eigenvalue problem Kx=(lambda)Mx. This is matrix K; matrix M is BCSSTM08 from BCSSTRUC1 set.
Matrices BCSSTK08 and BCSSTM08 have several clusters of eigenvalues where a doubleton (eigenvalue with multiplicity two) is very close to a third eigenvalue.


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 ] 360492 bytes


Matrix Statistics

Click on label to get an explanation.

Size Type
1074 x 1074, 7017 entries real symmetric positive definite
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
12960 1074 5943 5943 0
Column Data Row Data
Average nonzeros per column : 12
Standard deviation : 21

indexnonzeros
longest6 339
shortest773 1

Average nonzeros per row : 12
Standard deviation : 21

indexnonzeros
longest6 339
shortest773 1

Bandwidths Profile Storage
lower591 upper591
average |i-j|1.4e+02 std.dev.1.4e+02
minmaxave.std.dev.
lower bandwidth1 591 2.2e+02 1.3e+02
upper bandwidth1 591 2.2e+02 1.3e+02

Symmetric skyline storage requirement:241235

Heaviest diagonals
offset from main0 -3 3 -2 2 -1 1 -4 4 -9
nonzeros1074 351 351 237 237 197 197 163 163 92
accumulated percent 8.2911.0013.7015.5317.3618.8820.4021.6622.9223.63

Top 10 out of 1005 nonvoid diagonals.
Conditioning
Frobenius norm1e+11 condition number (est.)4.7e+07
2-norm (est.)7.7e+10 diagonal dominanceno


Set Information

Set BCSSTRUC1
Source: John Lewis, Boeing Computer Services, Seattle, Washington, USA
Discipline:Dynamic analyses in structural engineering
Accession:Summer 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 13:33:23 US/Eastern 2004 [Comments: ]