Matrix MHD3200A

MHD3200A: 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 MHD3200B from MHD set.

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Compressed MatrixMarket format file: mhd3200a.mtx.gz (595474 bytes)

Compressed Harwell-Boeing format file: mhd3200a.rua.gz (463541 bytes)

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Visualizations

Click on image to get an enlarged version. Click on label to get an explanation.

Structure Plot	City Plot

Size Type

3200 x 3200, 68026 entries real unsymmetric

Nonzeros

total diagonal below diagonal above diagonal A-A'
68026 1205 31216 35605 64482

Column Data Row Data

Average nonzeros per column : 21
Standard deviation : 12
index nonzeros
longest 45 38
shortest 1 1
Average nonzeros per row : 21
Standard deviation : 5.8
index nonzeros
longest 42 33
shortest 1 1

Bandwidths Profile Storage

lower 30 upper 30
average |i-j| 11 std.dev. 7.3

min max ave. std.dev.
lower bandwidth 0 29 21 4.5
upper bandwidth 0 29 22 4.6
Nonsymmetric skyline storage 135004

Heaviest diagonals

offset from main 6 5 2 4 -6 3 -10 -5 7 -2
nonzeros 2392 2188 1995 1994 1992 1968 1791 1791 1791 1596
accumulated percent 3.52 6.73 9.67 12.60 15.52 18.42 21.05 23.68 26.32 28.66

Top 10 out of 58 nonvoid diagonals.

Conditioning

Frobenius norm 1.8e+05 condition number (est.) 6.51e+39
2-norm (est.) 1.6e+05 diagonal dominance no

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: ]