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MHD4800A: Alfven Spectra in Magnetohydrodynamics

from set MHD, from the NEP Collection

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From generalized eigenvalue problem Ax=(lambda)Bx. This is matrix A; matrix B is MHD4800B from MHD set.


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Visualizations

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Structure Plot City Plot
structure plot city plot


Matrix Statistics

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Size Type
4800 x 4800, 102252 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
102252 1805 46927 53520 96882
Column Data Row Data
Average nonzeros per column : 21
Standard deviation : 12

indexnonzeros
longest45 38
shortest1 1

Average nonzeros per row : 21
Standard deviation : 5.8

indexnonzeros
longest42 33
shortest1 1

Bandwidths Profile Storage
lower30 upper30
average |i-j|11 std.dev.7.3
minmaxave.std.dev.
lower bandwidth0 29 21 4.4
upper bandwidth0 29 22 4.5

Nonsymmetric skyline storage 202804

Heaviest diagonals
offset from main6 5 2 4 -6 3 -10 -5 7 -2
nonzeros3592 3290 2995 2994 2992 2981 2691 2691 2691 2396
accumulated percent 3.51 6.73 9.6612.5915.5118.4321.0623.6926.3228.67

Top 10 out of 58 nonvoid diagonals.
Conditioning
Frobenius norm4.1e+05 condition number (est.)3.19e+47
2-norm (est.)3.6e+05 diagonal dominanceno


Set Information

Set MHD
Source: A. Booten, M.N. Kooper, H.A. van der Vorst, S. Poedts and J.P. Goedbloed University of Utrecht, the Netherlands
Discipline:Plasma physics


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Last change in this page: Wed Sep 22 13:37:26 US/Eastern 2004 [Comments: ]