BCSSTM12: 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 M; matrix K is BCSSTK12 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: bcsstm12.mtx.gz (62630 bytes)
Compressed Harwell-Boeing format file: bcsstm12.rsa.gz (37634 bytes)

Visualizations

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

Structure Plot	City Plot
	3D Interactive City Plot
	[ VRML Version 2, gzipped ] 538847 bytes

Matrix Statistics

Size	Type
1473 x 1473, 10566 entries	real symmetric positive semi-definite
Nonzeros
total diagonal below diagonal above diagonal A-A' 19659 1473 9093 9093 0
Column Data	Row Data
Average nonzeros per column : 13 Standard deviation : 5.2 index nonzeros longest 55 22 shortest 9 2	Average nonzeros per row : 13 Standard deviation : 5.2 index nonzeros longest 55 22 shortest 9 2
Bandwidths	Profile Storage
lower 650 upper 650 average |i-j| 63 std.dev. 1.3e+02	min max ave. std.dev. lower bandwidth 1 650 91 1.5e+02 upper bandwidth 1 650 91 1.5e+02 Symmetric skyline storage requirement:134315
Heaviest diagonals
offset from main 0 -3 3 -51 51 -48 48 -54 54 -1 nonzeros 1473 1101 1101 969 969 772 772 757 757 483 accumulated percent 7.49 13.09 18.69 23.62 28.55 32.48 36.41 40.26 44.11 46.56 Top 10 out of 159 nonvoid diagonals.
Conditioning
Frobenius norm 82 condition number (est.) 8.9e+05 2-norm (est.) 13 diagonal dominance no

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