?? example1.c
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#include <stdio.h>#include <stdlib.h>#include <math.h>#include "math_util.h"int n_fun, n_grad;main(){ long double epsilon, *x; int n; long double ex1_fun( long double * ); void ex1_dfun( long double *, long double * ); void cauchy( long double(*)(long double *), void(*)(long double *, long double *), long double *, int, long double ); n_fun = 0; n_grad = 0; n = 2; /* Number of unknown parameters */ x = a1d_allo_dbl( n ); /* Allocate storage for the vector x */ x[0] = -2.9; /* Initial guess */ x[1] = 2.0; epsilon = 1.0e-4; /*Solution error */ cauchy( ex1_fun, ex1_dfun, x, n, epsilon ); printf("\nSolution x: "); print_vec_dbl( x, n ); printf("\n"); printf(" # of function evaluations: %d\n",n_fun); printf(" # of gradient evaluations: %d\n",n_grad); a1d_free_dbl( x ); /* Free storage for the vector x */}/* Rosenbrock's function*/long double ex1_fun( x )long double *x;{ long double f; n_fun++; f = 100*(x[1]-x[0]*x[0])*(x[1]-x[0]*x[0]) + (1.0-x[0])*(1.0-x[0]); return( f );}void ex1_dfun( df, x )long double *df, *x;{ n_grad++; df[0] = -400.0*x[0]*(x[1]-x[0]*x[0])-2.0*(1.0-x[0]); df[1] = 200.0*(x[1]-x[0]*x[0]);}/**** Norm(grad f) <= epsSolution x: 1.000024e+00 1.000048e+00 # of function evaluations: 4208 # of gradient evaluations: 579 Solution time: 7.166667e+00*/
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