The Matrix Market

Home Search Browse Resources

FS 760 2: Chemical kinetics problems
STRAT stratospheric ionization study -- 2nd output time step

from set FACSIMILE, from the Harwell-Boeing Collection

[Download] [Visualizations] [Matrix Statistics] [Set Information]


Mixed kinetics diffusion problem from study of ionization in the stratosphere with 38 chemical species. The diffusion terms are small compared with the kinetics terms but large compared with 1 (particularly for the last matrix in the set).


Download as

Help: My browser can't read the compressed data files. What now?


Visualizations

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

Structure Plot City Plot
structure plot city plot
Spectral Portrait
spectral portrait


Matrix Statistics

Click on label to get an explanation.

Size Type
760 x 760, 5976 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
5739 760 2534 2445 6744
Column Data Row Data
Average nonzeros per column : 7.6
Standard deviation : 4.5

indexnonzeros
longest41 21
shortest181 1

Average nonzeros per row : 7.6
Standard deviation : 4.4

indexnonzeros
longest41 21
shortest181 1

Bandwidths Profile Storage
lower741 upper741
average |i-j|2.1e+02 std.dev.2.2e+02
minmaxave.std.dev.
lower bandwidth0 740 3.2e+02 2.3e+02
upper bandwidth0 740 2.8e+02 2.3e+02

Nonsymmetric skyline storage 452740

Heaviest diagonals
offset from main0 -1 1 -20 40 20 -40 100 120 300
nonzeros760 418 418 258 180 160 119 117 106 100
accumulated percent13.2420.5327.8132.3135.4438.2340.3042.3444.1945.93

Top 10 out of 72 nonvoid diagonals.
Conditioning
Frobenius norm4.5e+08 condition number (est.)1.1e+16
2-norm (est.)3.1e+08 diagonal dominanceno


Set Information

Set FACSIMILE
Source: Alan Curtis, Computer Science and Systems Division, AERE Harwell.
Discipline:Chemical kinetics
Accession:August 1983


The Matrix Market is a service of the Mathematical and Computational Sciences Division / Information Technology Laboratory / National Institute of Standards and Technology.

[ Home ] [ Search ] [ Browse ] [ Resources ]

Last change in this page: Wed Sep 22 13:33:38 US/Eastern 2004 [Comments: ]