BCSSTM26: BCS Structural Engineering Matrices (eigenvalue problems and linear equations)
Seismic analysis, nuclear power station

from set BCSSTRUC4, from the Harwell-Boeing Collection

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.

Download as

Compressed MatrixMarket format file: bcsstm26.mtx.gz (17122 bytes)
Compressed Harwell-Boeing format file: bcsstm26.rsa.gz (18477 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 ] 233559 bytes

Matrix Statistics

Size	Type
1922 x 1922, 1922 entries	real symmetric positive definite
Nonzeros
total diagonal below diagonal above diagonal A-A' 1922 1922 0 0 0
Column Data	Row Data
Average nonzeros per column : 1 Standard deviation : 0 index nonzeros longest 1 1 shortest 1 1	Average nonzeros per row : 1 Standard deviation : 0 index nonzeros longest 1 1 shortest 1 1
Bandwidths	Profile Storage
lower 1 upper 1 average |i-j| 0 std.dev. 0	min max ave. std.dev. lower bandwidth 1 1 1 0 upper bandwidth 1 1 1 0 Symmetric skyline storage requirement:1922
Heaviest diagonals
offset from main 0 nonzeros 1922 accumulated percent 100.00 Top 1 out of 1 nonvoid diagonals.
Conditioning
Frobenius norm 11 condition number (est.) 2.6e+05 2-norm (est.) 1.5 diagonal dominance yes

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