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RW5151: 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 ] 496415 bytes


Matrix Statistics

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Size Type
5151 x 5151, 20199 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
20199 0 10100 10099 30496
Column Data Row Data
Average nonzeros per column : 3.9
Standard deviation : 0.34

indexnonzeros
longest103 4
shortest1 1

Average nonzeros per row : 3.9
Standard deviation : 0.34

indexnonzeros
longest103 4
shortest101 1

Bandwidths Profile Storage
lower101 upper102
average |i-j|34 std.dev.37
minmaxave.std.dev.
lower bandwidth0 100 66 25
upper bandwidth0 101 67 25

Nonsymmetric skyline storage 676798

Heaviest diagonals
offset from main-1 1 -100 2 101 -99 100 -98 99 -97
nonzeros5051 4950 100 100 100 99 99 98 98 97
accumulated percent25.0149.5150.0150.5051.0051.4951.9852.4652.9553.43

Top 10 out of 201 nonvoid diagonals.
Conditioning
Frobenius norm42 condition number (est.)Not available.
2-norm (est.)1.2 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: ]