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UTM5940: 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


Matrix Statistics

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Size Type
5940 x 5940, 83842 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
83842 5940 39235 38667 114590
Column Data Row Data
Average nonzeros per column : 14
Standard deviation : 5.9

indexnonzeros
longest670 20
shortest86 1

Average nonzeros per row : 14
Standard deviation : 6.3

indexnonzeros
longest1736 30
shortest1 1

Bandwidths Profile Storage
lower495 upper498
average |i-j|1.2e+02 std.dev.1.6e+02
minmaxave.std.dev.
lower bandwidth0 494 3e+02 92
upper bandwidth0 497 3e+02 93

Nonsymmetric skyline storage 3602728

Heaviest diagonals
offset from main0 330 -330 -1 -5 5 1 -2 2 7
nonzeros5940 5432 5304 5144 4695 4549 4241 4120 3243 3093
accumulated percent 7.0813.5619.8926.0331.6237.0542.1147.0250.8954.58

Top 10 out of 72 nonvoid diagonals.
Conditioning
Frobenius norm77 condition number (est.)1.91e+09
2-norm (est.)2.5 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: ]