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opt14_run.m
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opt14_run.m
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%% OPT14_RUN
%
% Modified:
%
% 08 January 2008
%
%---------------------------------------------------------------------
% Nonlinear Equation Example
%---------------------------------------------------------------------
fprintf('---------------------------------------------------------\n')
fprintf('Running testcase_14: exact solutions (, )\n')
fprintf('---------------------------------------------------------\n')
fname = 'opt14_fgh';
options = [];
options.verbose = 0;
options.max_iterations = 180;
options.max_fevals = 180;
options.method = 'newton';
fprintf('Newton:\n')
options.globalization = 'trust_region';
x0 = [ -.8; .8; -.8 ];
x = entrust(fname, x0, options);
fprintf('Newtons method produced (%10.7e,%10.7e,%10.7e)\n\n',x(1),x(2),x(3))
f = opt14_fgh ( x, 'f' );
fprintf('Value of F(X) = %10.7e\n\n', f );
x0 = [ 2; -1; 1 ];
x = entrust(fname, x0, options);
fprintf('Newtons method produced (%10.7e,%10.7e,%10.7e)\n\n',x(1),x(2),x(3))
f = opt14_fgh ( x, 'f' );
fprintf('Value of F(X) = %10.7e\n\n', f );
%---------------------------------------------------------------------
% Test Gauss-Newton strategies.
%---------------------------------------------------------------------
fprintf('---------------------------------------------------------\n')
fprintf('Running testcase_14 as least squares problem: \n')
fprintf('Exact solution (,)\n')
fprintf('---------------------------------------------------------\n')
fname = 'opt14_rj';
options = [];
options.verbose = 0;
options.method = 'gauss_newton';
options.step_tolerance = 1.e-15;
options.globalization = 'none';
options.gradient_tolerance = 1.e-10;
options.max_iterations = 450;
x0 = [ -.8; .8; -.8 ];
x = entrust(fname, x0, options);
fprintf('Gauss-Newton produced (%10.7e, %10.7e, %10.7e)\n\n',x(1),x(2),x(3))
[ res, jac ] = opt14_rj ( x, 'f' );
fprintf('Norm of RES(X) = %10.7e\n\n', norm ( res ) );
x0 = [ 2; -1; 1 ];
x = entrust(fname, x0, options);
fprintf('Gauss-Newton produced (%10.7e, %10.7e, %10.7e)\n\n',x(1),x(2),x(3))
[ res, jac ] = opt14_rj ( x, 'f' );
fprintf('Norm of RES(X) = %10.7e\n\n', norm ( res ) );