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BCSSTK26: BCS Structural Engineering Matrices (eigenvalue problems and linear equations)
Seismic analysis, nuclear power station

from set BCSSTRUC4, from the Harwell-Boeing Collection

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From generalized eigenvalue problem Kx=(lambda)Mx. This is matrix K; matrix M is BCSSTM26 from BCSSTRUC4 set.
BCSSTK26/BCSSTM26 is from a vibration station. It is of interest because the number of eigenvalues needed for the seismic analysis was quite large - the lowest 197. The large number effectively defeats sparse eigenvalue routines that do not shift, and stands as a real benchmark for shifted algorithms.

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Structure Plot City Plot
structure plot city plot

Matrix Statistics

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Size Type
1922 x 1922, 16129 entries real symmetric indefinite
totaldiagonalbelow diagonalabove diagonalA-A'
30336 1922 14207 14207 0
Column Data Row Data
Average nonzeros per column : 16
Standard deviation : 5.7

longest1572 33
shortest224 3

Average nonzeros per row : 16
Standard deviation : 5.7

longest1572 33
shortest224 3

Bandwidths Profile Storage
lower234 upper234
average |i-j|74
lower bandwidth1 234 1e+02 74
upper bandwidth1 234 1e+02 74

Symmetric skyline storage requirement:191968

Heaviest diagonals
offset from main0 -2 2 -1 1 -4 4 -3 3 -5
nonzeros1922 1233 1233 1155 1155 647 647 592 592 308
accumulated percent 6.3410.4014.4618.2722.0824.2126.3428.3030.2531.26

Top 10 out of 467 nonvoid diagonals.
Frobenius norm4e+11 condition number (est.)2.3e+08
2-norm (est.)1.6e+11 diagonal dominanceno

Set Information

Source: Andy Mera, Randy Cigel, and John Lewis, Boeing Computer Services, Seattle, Washington.
Discipline:Dynamic analyses in structural engineering.
Accession:Summer 1984 and spring 1986

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