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BCSSTK07: BCS Structural Engineering Matrices (eigenvalue matrices)
Medium test problem -- consistent mass

from set BCSSTRUC1, from the Harwell-Boeing Collection

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From generalized eigenvalue problem Kx=(lambda)Mx. This is matrix K; matrix M is BCSSTM07 from BCSSTRUC1 set.


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Visualizations

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

[ VRML Version 2, gzipped ] 211842 bytes


Matrix Statistics

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Size Type
420 x 420, 4140 entries real symmetric positive definite
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
7860 420 3720 3720 0
Column Data Row Data
Average nonzeros per column : 19
Standard deviation : 6.5

indexnonzeros
longest57 28
shortest3 2

Average nonzeros per row : 19
Standard deviation : 6.5

indexnonzeros
longest57 28
shortest3 2

Bandwidths Profile Storage
lower48 upper48
average |i-j|18 std.dev.19
minmaxave.std.dev.
lower bandwidth1 48 36 17
upper bandwidth1 48 36 17

Symmetric skyline storage requirement:15111

Heaviest diagonals
offset from main0 -1 1 -2 2 -3 3 -6 6 -42
nonzeros420 357 357 347 347 334 334 330 330 324
accumulated percent 5.34 9.8914.4318.8423.2627.5131.7635.9540.1544.27

Top 10 out of 43 nonvoid diagonals.
Conditioning
Frobenius norm2.1e+10 condition number (est.)1.2e+07
2-norm (est.)3.5e+09 diagonal dominanceno


Set Information

Set BCSSTRUC1
Source: John Lewis, Boeing Computer Services, Seattle, Washington, USA
Discipline:Dynamic analyses in structural engineering
Accession:Summer 1982


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Last change in this page: Wed Sep 22 13:33:23 US/Eastern 2004 [Comments: ]