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RW496: 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 ] 216058 bytes


Matrix Statistics

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Size Type
496 x 496, 1859 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
1859 0 930 929 2846
Column Data Row Data
Average nonzeros per column : 3.7
Standard deviation : 0.59

indexnonzeros
longest33 4
shortest1 1

Average nonzeros per row : 3.7
Standard deviation : 0.58

indexnonzeros
longest33 4
shortest31 1

Bandwidths Profile Storage
lower31 upper32
average |i-j|11 std.dev.11
minmaxave.std.dev.
lower bandwidth0 30 19 8.4
upper bandwidth0 31 20 8.5

Nonsymmetric skyline storage 18938

Heaviest diagonals
offset from main-1 1 -30 2 31 -29 30 -28 29 -27
nonzeros466 435 30 30 30 29 29 28 28 27
accumulated percent25.0748.4750.0851.6953.3154.8756.4357.9359.4460.89

Top 10 out of 61 nonvoid diagonals.
Conditioning
Frobenius norm13 condition number (est.)1.1e+10
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: ]