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MHD1280A: 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 MHD1280B 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
1280 x 1280, 47906 entries complex unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'A-A*
47906 490 23150 24266 49844 37805
Column Data Row Data
Average nonzeros per column : 37
Standard deviation : 19

indexnonzeros
longest89 66
shortest1 1

Average nonzeros per row : 37
Standard deviation : 14

indexnonzeros
longest86 56
shortest1 1

Bandwidths Profile Storage
lower58 upper60
average |i-j|23 std.dev.15
minmaxave.std.dev.
lower bandwidth0 57 43 10
upper bandwidth0 59 43 10

Symmetric skyline storage requirement:109780

Heaviest diagonals
offset from main12 -12 -13 -14 13 -11 -15 14 17 11
nonzeros786 784 778 744 739 701 700 667 663 662
accumulated percent 1.64 3.28 4.90 6.45 8.00 9.4610.9212.3113.7015.08

Top 10 out of 117 nonvoid diagonals.
Conditioning
Frobenius norm1.3e+05 condition number (est.)Not available.
2-norm (est.)7.9e+04 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 13:37:25 US/Eastern 2004 [Comments: ]