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UTM1700B: Tokamak Matrices

from set TOKAMAK, from the SPARSKIT Collection

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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 ] 684189 bytes


Matrix Statistics

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Size Type
1700 x 1700, 21509 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
21509 1700 9848 9961 29252
Column Data Row Data
Average nonzeros per column : 13
Standard deviation : 6.7

indexnonzeros
longest225 20
shortest46 1

Average nonzeros per row : 13
Standard deviation : 6.7

indexnonzeros
longest466 29
shortest1 1

Bandwidths Profile Storage
lower255 upper258
average |i-j|65 std.dev.80
minmaxave.std.dev.
lower bandwidth0 254 1.4e+02 61
upper bandwidth0 257 1.5e+02 62

Nonsymmetric skyline storage 494148

Heaviest diagonals
offset from main0 170 -170 -1 -5 5 1 -2 2 7
nonzeros1700 1440 1376 1292 1177 1143 1099 1036 865 777
accumulated percent 7.9014.6021.0027.0032.4737.7942.9047.7151.7455.35

Top 10 out of 72 nonvoid diagonals.
Conditioning
Frobenius norm41 condition number (est.)1.16e+07
2-norm (est.)2.6 diagonal dominanceno


Set Information

Set TOKAMAK
Source: Peter Brown (Lawrence Livermore National Lab)
Discipline:Nuclear physics (plasmas)


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Last change in this page: Wed Sep 22 13:34:04 US/Eastern 2004 [Comments: ]