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RW136: Markov Chain Transition Matrix

generated by MVMRWK, from the NEP Collection

[Download] [Visualizations] [Matrix Statistics] [Generator 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 ] 58673 bytes


Matrix Statistics

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Size Type
136 x 136, 479 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
479 0 240 239 732
Column Data Row Data
Average nonzeros per column : 3.5
Standard deviation : 0.77

indexnonzeros
longest18 4
shortest1 1

Average nonzeros per row : 3.5
Standard deviation : 0.76

indexnonzeros
longest18 4
shortest16 1

Bandwidths Profile Storage
lower16 upper17
average |i-j|6 std.dev.5.5
minmaxave.std.dev.
lower bandwidth0 15 9.2 4.6
upper bandwidth0 16 10 4.8

Nonsymmetric skyline storage 2493

Heaviest diagonals
offset from main-1 1 -15 2 16 -14 15 -13 14 -12
nonzeros121 105 15 15 15 14 14 13 13 12
accumulated percent25.2647.1850.3153.4456.5859.5062.4265.1467.8570.35

Top 10 out of 31 nonvoid diagonals.
Conditioning
Frobenius norm7.2 condition number (est.)1.4e+05
2-norm (est.)1.1 diagonal dominanceno


Generator Information

Generator MVMRWK
Source: G.W. Stewart, University of Maryland
Discipline:Probability theory and its applications


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Last change in this page: Wed Sep 22 13:37:32 US/Eastern 2004 [Comments: ]