Matrix MHD4800B

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.

Download as

Compressed MatrixMarket format file: mhd4800b.mtx.gz (142522 bytes)

Compressed Harwell-Boeing format file: mhd4800b.rua.gz (146948 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, 27520 entries real symmetric indefinite

Nonzeros

total diagonal below diagonal above diagonal A-A'
27520 4800 11360 11360 0

Column Data Row Data

Average nonzeros per column : 5.7
Standard deviation : 2
index nonzeros
longest 22 10
shortest 1 1
Average nonzeros per row : 5.7
Standard deviation : 2
index nonzeros
longest 22 10
shortest 1 1

Bandwidths Profile Storage

lower 19 upper 19
average |i-j| 9.2 std.dev. 7.5

min max ave. std.dev.
lower bandwidth 0 18 16 1.3
upper bandwidth 0 18 16 1.3
Symmetric skyline storage requirement:77141

Heaviest diagonals

offset from main 0 -16 16 -1 1 -15 15 -17 17 -2
nonzeros 4800 3287 3287 2692 2692 2392 2392 1194 1194 599
accumulated percent 17.44 29.39 41.33 51.11 60.89 69.59 78.28 82.62 86.95 89.13

Top 10 out of 19 nonvoid diagonals.

Conditioning

Frobenius norm 5.2 condition number (est.) 1.03e+14
2-norm (est.) 2.2 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: ]