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NOS4: Lanczos with partial reorthogonalization
Finite element approximation to a beam structure.

from set LANPRO, from the Harwell-Boeing Collection

[Download] [Visualizations] [Matrix Statistics] [Set Information]


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Visualizations

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Structure Plot City Plot
structure plot city plot
3D Interactive City Plot

[ VRML Version 2, gzipped ] 84804 bytes


Matrix Statistics

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Size Type
100 x 100, 347 entries real symmetric positive definite
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
594 100 247 247 0
Column Data Row Data
Average nonzeros per column : 5.9
Standard deviation : 1.5

indexnonzeros
longest5 7
shortest4 2

Average nonzeros per row : 5.9
Standard deviation : 1.5

indexnonzeros
longest5 7
shortest4 2

Bandwidths Profile Storage
lower14 upper14
average |i-j|6.7 std.dev.4.7
minmaxave.std.dev.
lower bandwidth1 14 8.7 5.1
upper bandwidth1 14 8.7 5.1

Symmetric skyline storage requirement:866

Heaviest diagonals
offset from main0 -10 10 -2 2 -12 -8 8 12 -13
nonzeros100 45 45 40 40 36 36 36 36 18
accumulated percent16.8424.4131.9938.7245.4551.5257.5863.6469.7072.73

Top 10 out of 19 nonvoid diagonals.
Conditioning
Frobenius norm4.2 condition number (est.)2.7e+03
2-norm (est.)0.85 diagonal dominanceno


Set Information

Set LANPRO
Source: Horst Simon, Boeing Computer Services, Seattle, Washington.
Discipline:Linear equations in structural engineering
Accession:Spring 1982


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Last change in this page: Wed Sep 22 13:33:41 US/Eastern 2004 [Comments: ]