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BCSSTK21: BCS Structural Engineering Matrices (eigenvalue problems)
Clamped square plate

from set BCSSTRUC3, from the Harwell-Boeing Collection

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From generalized eigenvalue problem Kx=(lambda)Mx. This is matrix K; matrix M is BCSSTM21 from BCSSTRUC3 set.
A standard textbook problem with multiple eigenvalues.


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Visualizations

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Structure Plot City Plot
structure plot city plot


Matrix Statistics

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Size Type
3600 x 3600, 15100 entries real symmetric indefinite
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
26600 3600 11500 11500 0
Column Data Row Data
Average nonzeros per column : 7.4
Standard deviation : 1.1

indexnonzeros
longest129 9
shortest1 4

Average nonzeros per row : 7.4
Standard deviation : 1.1

indexnonzeros
longest129 9
shortest1 4

Bandwidths Profile Storage
lower126 upper126
average |i-j|55 std.dev.57
minmaxave.std.dev.
lower bandwidth1 126 1.2e+02 21
upper bandwidth1 126 1.2e+02 21

Symmetric skyline storage requirement:425478

Heaviest diagonals
offset from main0 -120 120 -6 6 -125 -121 -119 -115 115
nonzeros3600 3480 3480 3420 3420 580 580 580 580 580
accumulated percent13.5326.6239.7052.5665.4167.5969.7771.9574.1476.32

Top 10 out of 21 nonvoid diagonals.
Conditioning
Frobenius norm3e+09 condition number (est.)4.5e+07
2-norm (est.)1.3e+08 diagonal dominanceno


Set Information

Set BCSSTRUC3
Source: John Lewis, Boeing Computer Services, Seattle, WA
Discipline:Dynamic analyses in structural engineering
Accession:Summer 1984 to spring 1985


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Last change in this page: Wed Sep 22 13:33:26 US/Eastern 2004 [Comments: ]