NOS7: Lanczos with partial reorthogonalization
Finite difference approximation to diffusion equation with varying diffusivity in a 3D unit cube with Dirichlet boundary conditions.

from set LANPRO, from the Harwell-Boeing Collection

Download as

Compressed MatrixMarket format file: nos7.mtx.gz (10145 bytes)
Compressed Harwell-Boeing format file: nos7.rsa.gz (7616 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 ] 125825 bytes

Matrix Statistics

Size	Type
729 x 729, 2673 entries	real symmetric positive definite
Nonzeros
total diagonal below diagonal above diagonal A-A' 4617 729 1944 1944 0
Column Data	Row Data
Average nonzeros per column : 6.3 Standard deviation : 0.72 index nonzeros longest 92 7 shortest 1 4	Average nonzeros per row : 6.3 Standard deviation : 0.72 index nonzeros longest 92 7 shortest 1 4
Bandwidths	Profile Storage
lower 82 upper 82 average |i-j| 26 std.dev. 35	min max ave. std.dev. lower bandwidth 1 82 74 23 upper bandwidth 1 82 74 23 Symmetric skyline storage requirement:53873
Heaviest diagonals
offset from main 0 -81 -9 -1 1 9 81 nonzeros 729 648 648 648 648 648 648 accumulated percent 15.79 29.82 43.86 57.89 71.93 85.96 100.00 Top 7 out of 7 nonvoid diagonals.
Conditioning
Frobenius norm 3e+07 condition number (est.) 4.1e+09 2-norm (est.) 9.9e+06 diagonal dominance no

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Last change in this page: Wed Sep 22 13:33:41 US/Eastern 2004 [Comments: ]