Matrix MHD4800A

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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Compressed MatrixMarket format file: mhd4800a.mtx.gz (896271 bytes)

Compressed Harwell-Boeing format file: mhd4800a.rua.gz (698028 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

4800 x 4800, 102252 entries real unsymmetric

Nonzeros

total diagonal below diagonal above diagonal A-A'
102252 1805 46927 53520 96882

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 4.4
upper bandwidth 0 29 22 4.5
Nonsymmetric skyline storage 202804

Heaviest diagonals

offset from main 6 5 2 4 -6 3 -10 -5 7 -2
nonzeros 3592 3290 2995 2994 2992 2981 2691 2691 2691 2396
accumulated percent 3.51 6.73 9.66 12.59 15.51 18.43 21.06 23.69 26.32 28.67

Top 10 out of 58 nonvoid diagonals.

Conditioning

Frobenius norm 4.1e+05 condition number (est.) 3.19e+47
2-norm (est.) 3.6e+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: ]