BCSSTK12: BCS Structural Engineering Matrices (eigenvalue matrices)
Ore car -- consistent mass

from set BCSSTRUC1, from the Harwell-Boeing Collection

From generalized eigenvalue problem Kx=(lambda)Mx. This is matrix K; matrix M is BCSSTM12 from BCSSTRUC1 set.
BCSSTK11, BCSSTM11, BCSSTK12 and BCSSTM12 represent the lumped and consistent mass formulation for an ore car model. In both cases the consistent mass formulations lead to non-diagonal mass matrices. The eigenvalues from the two formulations of a model should be similar, but not necessarily equal.

Download as

Compressed MatrixMarket format file: bcsstk12.mtx.gz (102023 bytes)
Compressed Harwell-Boeing format file: bcsstk12.rsa.gz (59052 bytes)

Visualizations

Click on image to get an enlarged version. Click on label to get an explanation.

Structure Plot	City Plot

Matrix Statistics

Size	Type
1473 x 1473, 17857 entries	real symmetric positive definite
Nonzeros
total diagonal below diagonal above diagonal A-A' 34241 1473 16384 16384 0
Column Data	Row Data
Average nonzeros per column : 23 Standard deviation : 6.7 index nonzeros longest 55 33 shortest 9 2	Average nonzeros per row : 23 Standard deviation : 6.7 index nonzeros longest 55 33 shortest 9 2
Bandwidths	Profile Storage
lower 651 upper 651 average |i-j| 62 std.dev. 1.3e+02	min max ave. std.dev. lower bandwidth 1 651 92 1.5e+02 upper bandwidth 1 651 92 1.5e+02 Symmetric skyline storage requirement:135219
Heaviest diagonals
offset from main 0 -1 1 -2 2 -3 3 -51 51 -50 nonzeros 1473 1235 1235 1170 1170 1158 1158 969 969 836 accumulated percent 4.30 7.91 11.52 14.93 18.35 21.73 25.11 27.94 30.77 33.21 Top 10 out of 181 nonvoid diagonals.
Conditioning
Frobenius norm 4.7e+09 condition number (est.) 5.3e+08 2-norm (est.) 6.6e+08 diagonal dominance no

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Last change in this page: Wed Sep 22 13:33:24 US/Eastern 2004 [Comments: ]