BCSSTK08: BCS Structural Engineering Matrices (eigenvalue matrices)
TV studio

from set BCSSTRUC1, from the Harwell-Boeing Collection

From generalized eigenvalue problem Kx=(lambda)Mx. This is matrix K; matrix M is BCSSTM08 from BCSSTRUC1 set.
Matrices BCSSTK08 and BCSSTM08 have several clusters of eigenvalues where a doubleton (eigenvalue with multiplicity two) is very close to a third eigenvalue.

Download as

Compressed MatrixMarket format file: bcsstk08.mtx.gz (44011 bytes)
Compressed Harwell-Boeing format file: bcsstk08.rsa.gz (35238 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 ] 360492 bytes

Matrix Statistics

Size	Type
1074 x 1074, 7017 entries	real symmetric positive definite
Nonzeros
total diagonal below diagonal above diagonal A-A' 12960 1074 5943 5943 0
Column Data	Row Data
Average nonzeros per column : 12 Standard deviation : 21 index nonzeros longest 6 339 shortest 773 1	Average nonzeros per row : 12 Standard deviation : 21 index nonzeros longest 6 339 shortest 773 1
Bandwidths	Profile Storage
lower 591 upper 591 average |i-j| 1.4e+02 std.dev. 1.4e+02	min max ave. std.dev. lower bandwidth 1 591 2.2e+02 1.3e+02 upper bandwidth 1 591 2.2e+02 1.3e+02 Symmetric skyline storage requirement:241235
Heaviest diagonals
offset from main 0 -3 3 -2 2 -1 1 -4 4 -9 nonzeros 1074 351 351 237 237 197 197 163 163 92 accumulated percent 8.29 11.00 13.70 15.53 17.36 18.88 20.40 21.66 22.92 23.63 Top 10 out of 1005 nonvoid diagonals.
Conditioning
Frobenius norm 1e+11 condition number (est.) 4.7e+07 2-norm (est.) 7.7e+10 diagonal dominance no

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