package com.imsl.test.example.math;

import com.imsl.math.*;

/**
 * <p>
 * Solves a nonlinear least squares problem subject to bounds.</p>
 *
 * <p>
 * This examples solves the nonlinear least squares problem
 * </p>
 * $$\min \frac{1}{2}\sum\limits_{i = 0}^1 {f_i \left( x \right)^2 }$$
 *
 * <p>
 * subject to the bounds</p>
 * $$- 2 \le x_0 \le 0.5$$ $$-1 \le x_1 \le 2$$
 *
 * <p>
 * and where</p>
 * $$f_0 (x) = 10(x_1 - x_0^2 ) \,\, {\rm{and}} \,\, f_1 (x) = (1 - x_0 ).$$
 *
 * @see <a href="BoundedLeastSquaresEx1.java">Code</a>
 * @see <a href="doc-files/BoundedLeastSquaresEx1.out">Output</a>
 */
public class BoundedLeastSquaresEx1 {

    public static void main(String args[]) throws Exception {
        int m = 2;
        int n = 2;
        int ibtype = 0;
        double[] xlb = {-2.0, -1.0};
        double[] xub = {0.5, 2.0};

        BoundedLeastSquares.Function rosbck
                = new BoundedLeastSquares.Function() {
            public void compute(double[] x, double[] f) {
                f[0] = 10.0 * (x[1] - x[0] * x[0]);
                f[1] = 1.0 - x[0];
            }
        };

        BoundedLeastSquares zf
                = new BoundedLeastSquares(rosbck, m, n, ibtype, xlb, xub);

        zf.solve();
        new PrintMatrix("Solution").print(zf.getSolution());
    }
}