Package com.imsl.test.example.math

Class NonlinLeastSquaresEx2

java.lang.Object

com.imsl.test.example.math.NonlinLeastSquaresEx2

public class NonlinLeastSquaresEx2
extends Object

NonlinLeastSquares Example 2: Solves a nonlinear least squares problem with a user supplied Jacobian.

A nonlinear least squares problem involving a vector-valued function is solved using a user supplied Jacobian. The same function as in NonlinLeastSquaresEx1 is solved using the exact Jacobian. The problem is to minimize the vector-function, $$ f(x_1, x_2) = \begin{bmatrix} 10.0(x_2-x_1^2)\\ 1.0 - x_1 \end{bmatrix} $$

The analytic Jacobian is $$ J(x_1,x_2) = \begin{bmatrix}-20.0x_1 & 10.0\\ -1.0 & 0.0 \end{bmatrix}. $$

See Also:

• Code
• Output

Constructor Summary

Constructors

Constructor	Description
NonlinLeastSquaresEx2()

Method Summary

Modifier and Type	Method	Description
static void	main(String[] args)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

NonlinLeastSquaresEx2

public NonlinLeastSquaresEx2()

Method Details

main

public static void main(String[] args)
                 throws NonlinLeastSquares.TooManyIterationsException

Throws:

NonlinLeastSquares.TooManyIterationsException