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JGL009: Small counter example matrices

from set COUNTERX, from the Harwell-Boeing Collection

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


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Visualizations

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Structure Plot
structure plot


Matrix Statistics

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Size Type
9 x 9, 50 entries pattern unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
50 8 31 11 44
Column Data Row Data
Average nonzeros per column : 5.6
Standard deviation : 1.9

indexnonzeros
longest1 8
shortest8 2

Average nonzeros per row : 5.6
Standard deviation : 2.1

indexnonzeros
longest8 9
shortest1 3

Bandwidths Profile Storage
lower9 upper9
average |i-j|2.9 std.dev.2.4
minmaxave.std.dev.
lower bandwidth1 9 4.9 2.8
upper bandwidth1 9 3 3

Symmetric skyline storage requirement:62

Heaviest diagonals
offset from main-1 0 -3 -2 -4 1 -6 -5 -7 6
nonzeros8 8 5 5 4 4 3 3 2 2
accumulated percent16.0032.0042.0052.0060.0068.0074.0080.0084.0088.00

Top 10 out of 16 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: ]