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BCSSTK08: BCS Structural Engineering Matrices (eigenvalue matrices)
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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 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.

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

[ VRML Version 2, gzipped ] 360492 bytes

Matrix Statistics

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

longest6 339
shortest773 1

Average nonzeros per row : 12
Standard deviation : 21

longest6 339
shortest773 1

Bandwidths Profile Storage
lower591 upper591
average |i-j|1.4e+02
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.
Frobenius norm1e+11 condition number (est.)4.7e+07
2-norm (est.)7.7e+10 diagonal dominanceno

Set Information

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: ]