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MHD4800B: 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 B; matrix A is MHD4800A 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, 27520 entries real symmetric indefinite
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
27520 4800 11360 11360 0
Column Data Row Data
Average nonzeros per column : 5.7
Standard deviation : 2

indexnonzeros
longest22 10
shortest1 1

Average nonzeros per row : 5.7
Standard deviation : 2

indexnonzeros
longest22 10
shortest1 1

Bandwidths Profile Storage
lower19 upper19
average |i-j|9.2 std.dev.7.5
minmaxave.std.dev.
lower bandwidth0 18 16 1.3
upper bandwidth0 18 16 1.3

Symmetric skyline storage requirement:77141

Heaviest diagonals
offset from main0 -16 16 -1 1 -15 15 -17 17 -2
nonzeros4800 3287 3287 2692 2692 2392 2392 1194 1194 599
accumulated percent17.4429.3941.3351.1160.8969.5978.2882.6286.9589.13

Top 10 out of 19 nonvoid diagonals.
Conditioning
Frobenius norm5.2 condition number (est.)1.03e+14
2-norm (est.)2.2 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: ]