BCSSTK06: BCS Structural Engineering Matrices (eigenvalue matrices)
Medium test problem -- lumped mass

from set BCSSTRUC1, from the Harwell-Boeing Collection

From generalized eigenvalue problem Kx=(lambda)Mx. This is matrix K; matrix M is BCSSTM06 from BCSSTRUC1 set.
BCSSTK06 and BCSSTM06 repesent the lumped (diagonal) mass formulation for the same problem for which BCSSTK07 and BCSSTM07 form the consistent mass formulation.

Download as

Compressed MatrixMarket format file: bcsstk06.mtx.gz (27307 bytes)
Compressed Harwell-Boeing format file: bcsstk06.rsa.gz (18778 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 ] 211843 bytes

Matrix Statistics

Size	Type
420 x 420, 4140 entries	real symmetric positive definite
Nonzeros
total diagonal below diagonal above diagonal A-A' 7860 420 3720 3720 0
Column Data	Row Data
Average nonzeros per column : 19 Standard deviation : 6.5 index nonzeros longest 57 28 shortest 3 2	Average nonzeros per row : 19 Standard deviation : 6.5 index nonzeros longest 57 28 shortest 3 2
Bandwidths	Profile Storage
lower 48 upper 48 average |i-j| 18 std.dev. 19	min max ave. std.dev. lower bandwidth 1 48 36 17 upper bandwidth 1 48 36 17 Symmetric skyline storage requirement:15111
Heaviest diagonals
offset from main 0 -1 1 -2 2 -3 3 -6 6 -42 nonzeros 420 357 357 347 347 334 334 330 330 324 accumulated percent 5.34 9.89 14.43 18.84 23.26 27.51 31.76 35.95 40.15 44.27 Top 10 out of 43 nonvoid diagonals.
Conditioning
Frobenius norm 2.1e+10 condition number (est.) 1.2e+07 2-norm (est.) 3.5e+09 diagonal dominance no

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Last change in this page: Wed Sep 22 13:33:23 US/Eastern 2004 [Comments: ]