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JGL011: Small counter example matrices

from set COUNTERX, from the Harwell-Boeing Collection

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Visualizations

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Structure Plot
structure plot


Matrix Statistics

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Size Type
11 x 11, 76 entries pattern unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
76 10 48 18 64
Column Data Row Data
Average nonzeros per column : 6.9
Standard deviation : 2.6

indexnonzeros
longest2 10
shortest9 3

Average nonzeros per row : 6.9
Standard deviation : 2.9

indexnonzeros
longest9 11
shortest1 4

Bandwidths Profile Storage
lower11 upper11
average |i-j|3.6 std.dev.3
minmaxave.std.dev.
lower bandwidth1 11 5.4 3.6
upper bandwidth1 11 3.6 3.8

Symmetric skyline storage requirement:88

Heaviest diagonals
offset from main0 -1 -2 -3 -4 -5 1 -6 -8 -7
nonzeros10 9 8 7 6 5 5 4 3 3
accumulated percent13.1625.0035.5344.7452.6359.2165.7971.0575.0078.95

Top 10 out of 19 nonvoid diagonals.
Conditioning
Pattern matrix. No conditioning information.


Set Information

Set COUNTERX
Source: John Lewis, Boeing Computer Services, Seattle, Washington.
Discipline:Simple counter examples to Hellerman and Rarick algorithm
Accession:Summer 1983


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