Matrix GR 30 30

GR 30 30: Finite-difference Laplacians

from set LAPLACE, from the Harwell-Boeing Collection

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Compressed MatrixMarket format file: gr_30_30.mtx.gz (12422 bytes)

Compressed Harwell-Boeing format file: gr_30_30.rsa.gz (7007 bytes)

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Visualizations

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Structure Plot	City Plot

	3D Interactive City Plot
	[ VRML Version 2, gzipped ] 175538 bytes

Size Type

900 x 900, 4322 entries real symmetric positive definite

Nonzeros

total diagonal below diagonal above diagonal A-A'
7744 900 3422 3422 0

Column Data Row Data

Average nonzeros per column : 8.6
Standard deviation : 1
index nonzeros
longest 32 9
shortest 1 4
Average nonzeros per row : 8.6
Standard deviation : 1
index nonzeros
longest 32 9
shortest 1 4

Bandwidths Profile Storage

lower 32 upper 32
average |i-j| 20 std.dev. 14

min max ave. std.dev.
lower bandwidth 1 32 31 5.4
upper bandwidth 1 32 31 5.4
Symmetric skyline storage requirement:27870

Heaviest diagonals

offset from main 0 -30 -1 1 30 -31 -29 29 31
nonzeros 900 870 870 870 870 841 841 841 841
accumulated percent 11.62 22.86 34.09 45.33 56.56 67.42 78.28 89.14 100.00

Top 9 out of 9 nonvoid diagonals.

Conditioning

Frobenius norm 2.5e+02 condition number (est.) 3.8e+02
2-norm (est.) 12 diagonal dominance weak

Set Information

Set LAPLACE
Source:	Roger Grimes, Boeing Computer Services, Seattle, Washington.
Discipline:	Partial differential equations
Accession:	Summer 1983

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Last change in this page: Wed Sep 22 13:33:42 US/Eastern 2004 [Comments: ]