Models (Constrained) Nonlinear Least Squares Problems: cls prob, mgh prob and ls prob: Difference between revisions
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An example of a problem of this class, (that is also found in the TOMLAB Quickguide) is nllsQG: | An example of a problem of this class, (that is also found in the TOMLAB Quickguide) is nllsQG: | ||
< | <source lang="matlab"> | ||
% nllsQG is a small example problem for defining and solving | % nllsQG is a small example problem for defining and solving | ||
% nonlinear least squares using the TOMLAB format. | % nonlinear least squares using the TOMLAB format. | ||
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%Result = tomRun('minos', Prob, 1); | %Result = tomRun('minos', Prob, 1); | ||
%Result = tomRun('oqnlp', Prob, 1); | %Result = tomRun('oqnlp', Prob, 1); | ||
</ | </source> | ||
==cls_prob== | ==cls_prob== |
Latest revision as of 11:30, 21 January 2012
This page is part of TOMLAB Models. See TOMLAB Models. |
The TOMLAB bundle testprob provides three sets of test problems for (constrained) nonlinear least squares: cls_prob, mg_prob and ls_prob.
An example of a (constrained) nonlinear least squares)
The basic structure of a (constrained) nonlinear least squares problem is the following
where , , , and .
The following files are required to define a problem of this category in TOMLAB.
File: tomlab/quickguide/nllsQG r.m, nllsQG J.m
r: Residual vector J: Jacobian matrix
The following file illustrates how to solve an NLLS problem in TOMLAB. Also view the m-files specified above for more information.
File: tomlab/quickguide/nllsQG.m
An example of a problem of this class, (that is also found in the TOMLAB Quickguide) is nllsQG:
% nllsQG is a small example problem for defining and solving
% nonlinear least squares using the TOMLAB format.
Name='Gisela';
t = [0.25; 0.5; 0.75; 1; 1.5; 2; 3; 4; 6; 8; 12; 24; 32; 48; 54; 72; 80;...
96; 121; 144; 168; 192; 216; 246; 276; 324; 348; 386];
y = [30.5; 44; 43; 41.5; 38.6; 38.6; 39; 41; 37; 37; 24; 32; 29; 23; 21;...
19; 17; 14; 9.5; 8.5; 7; 6; 6; 4.5; 3.6; 3; 2.2; 1.6];
x_0 = [6.8729, 0.0108, 0.1248]';
% See help clsAssign for more information.
Prob = clsAssign('nllsQG_r', 'nllsQG_J', [], [], [], Name, x_0, ...
y, t);
% Parameter which is passed to r and J routines.
Prob.uP = 5;
Result = tomRun('clsSolve', Prob, 1);
%Result = tomRun('nlssol', Prob, 1);
% Any nonlinear solver can be used. TOMLAB automatically
% uses gateway routines for problem mapping.
%Result = tomRun('filterSQP', Prob, 1);
%Result = tomRun('knitro', Prob, 1);
%Result = tomRun('conopt', Prob, 1);
%Result = tomRun('snopt', Prob, 1);
%Result = tomRun('npsol', Prob, 1);
%Result = tomRun('minos', Prob, 1);
%Result = tomRun('oqnlp', Prob, 1);
cls_prob
cls_prob consists of 45 constrained nonlinear least squares test problems with up to 14 variables and a mixture of linear and nonlinear constraints. In order to define this problem and solve it execute the following in Matlab:
Prob = probInit('cls_prob',1); Result = tomRun('',Prob);
mgh_prob
In mgh_prob there are 35 nonlinear least squares (More, Garbow, Hillstrom) test problems with up to 40 variables. In order to define this problem and solve it execute the following in Matlab:
Prob = probInit('mgh_prob',1); Result = tomRun('',Prob);
ls_prob
In ls_prob there are 15 nonlinear least squares test problems with up to 20 variables. In order to define this problem and solve it execute the following in Matlab:
Prob = probInit('ls_prob',1); Result = tomRun('',Prob);