ARC130: Original Harwell sparse matrix test collection
Laser problem

from set SMTAPE, from the Harwell-Boeing Collection

Jacobian of a nonlinear system of ordinary differential equations (ODEs) modeling a laser. Due to A. R. Curtis, October 1974.

Download as

Compressed MatrixMarket format file: arc130.mtx.gz (12287 bytes)
Compressed Harwell-Boeing format file: arc130.rua.gz (12408 bytes)

Visualizations

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

Structure Plot	City Plot
	3D Interactive City Plot
	[ VRML Version 2, gzipped ] 154076 bytes

Matrix Statistics

Size	Type
130 x 130, 304 entries	real unsymmetric
Nonzeros
total diagonal below diagonal above diagonal A-A' 1037 130 567 340 1366
Column Data	Row Data
Average nonzeros per column : 8 Standard deviation : 18 index nonzeros longest 18 124 shortest 21 1	Average nonzeros per row : 8 Standard deviation : 7.5 index nonzeros longest 2 39 shortest 16 1
Bandwidths	Profile Storage
lower 126 upper 106 average |i-j| 39 std.dev. 36	min max ave. std.dev. lower bandwidth 0 125 62 39 upper bandwidth 0 105 48 32 Nonsymmetric skyline storage 14165
Heaviest diagonals
offset from main 0 -3 -1 -4 -2 1 5 -8 -7 -6 nonzeros 130 14 14 13 13 13 13 12 12 12 accumulated percent 12.54 13.89 15.24 16.49 17.74 19.00 20.25 21.41 22.57 23.72 Top 10 out of 180 nonvoid diagonals.
Conditioning
Frobenius norm 4.9e+05 condition number (est.) 1.1e+10 2-norm (est.) 2.4e+05 diagonal dominance no

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Last change in this page: Wed Sep 22 13:33:52 US/Eastern 2004 [Comments: ]