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BCSSTM26: 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 M; matrix K is BCSSTK26 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
3D Interactive City Plot

[ VRML Version 2, gzipped ] 233559 bytes

Matrix Statistics

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Size Type
1922 x 1922, 1922 entries real symmetric positive definite
totaldiagonalbelow diagonalabove diagonalA-A'
1922 1922 0 0 0
Column Data Row Data
Average nonzeros per column : 1
Standard deviation : 0

longest1 1
shortest1 1

Average nonzeros per row : 1
Standard deviation : 0

longest1 1
shortest1 1

Bandwidths Profile Storage
lower1 upper1
average |i-j|0
lower bandwidth1 1 1 0
upper bandwidth1 1 1 0

Symmetric skyline storage requirement:1922

Heaviest diagonals
offset from main0
accumulated percent100.00

Top 1 out of 1 nonvoid diagonals.
Frobenius norm11 condition number (est.)2.6e+05
2-norm (est.)1.5 diagonal dominanceyes

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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Last change in this page: Wed Sep 22 13:33:27 US/Eastern 2004 [Comments: ]