org.apache.commons.math3.optim.nonlinear.scalar.noderiv

## Class NelderMeadSimplex

- java.lang.Object
- - org.apache.commons.math3.optim.nonlinear.scalar.noderiv.AbstractSimplex
  - - org.apache.commons.math3.optim.nonlinear.scalar.noderiv.NelderMeadSimplex

- All Implemented Interfaces:
    OptimizationData

      public class NelderMeadSimplex
      extends AbstractSimplex

  This class implements the Nelder-Mead simplex algorithm.
  Since:
    3.0

- - ### Constructor Summary

    Constructors
    Constructor and Description
    `NelderMeadSimplex(double[] steps)` Build a Nelder-Mead simplex with default coefficients.
    `NelderMeadSimplex(double[][] referenceSimplex)` Build a Nelder-Mead simplex with default coefficients.
    `NelderMeadSimplex(double[][] referenceSimplex, double rho, double khi, double gamma, double sigma)` Build a Nelder-Mead simplex with specified coefficients.
    `NelderMeadSimplex(double[] steps, double rho, double khi, double gamma, double sigma)` Build a Nelder-Mead simplex with specified coefficients.
    `NelderMeadSimplex(int n)` Build a Nelder-Mead simplex with default coefficients.
    `NelderMeadSimplex(int n, double sideLength)` Build a Nelder-Mead simplex with default coefficients.
    `NelderMeadSimplex(int n, double rho, double khi, double gamma, double sigma)` Build a Nelder-Mead simplex with specified coefficients.
    `NelderMeadSimplex(int n, double sideLength, double rho, double khi, double gamma, double sigma)` Build a Nelder-Mead simplex with specified coefficients.

  - ### Method Summary

    Methods
    Modifier and Type | Method and Description
    --- | ---
    `void` | `iterate(MultivariateFunction evaluationFunction, Comparator<PointValuePair> comparator)` Compute the next simplex of the algorithm.

    - ### Methods inherited from class org.apache.commons.math3.optim.nonlinear.scalar.noderiv.AbstractSimplex

      `build, evaluate, getDimension, getPoint, getPoints, getSize, replaceWorstPoint, setPoint, setPoints`

    - ### Methods inherited from class java.lang.Object

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

- - ### Constructor Detail

    - #### NelderMeadSimplex

          public NelderMeadSimplex(int n)

      Build a Nelder-Mead simplex with default coefficients. The default coefficients are 1.0 for rho, 2.0 for khi and 0.5 for both gamma and sigma.
      Parameters:
        `n` - Dimension of the simplex.

    - #### NelderMeadSimplex

          public NelderMeadSimplex(int n,
                           double sideLength)

      Build a Nelder-Mead simplex with default coefficients. The default coefficients are 1.0 for rho, 2.0 for khi and 0.5 for both gamma and sigma.
      Parameters:
        `n` - Dimension of the simplex.
        `sideLength` - Length of the sides of the default (hypercube) simplex. See `AbstractSimplex.AbstractSimplex(int,double)`.

    - #### NelderMeadSimplex

          public NelderMeadSimplex(int n,
                           double sideLength,
                           double rho,
                           double khi,
                           double gamma,
                           double sigma)

      Build a Nelder-Mead simplex with specified coefficients.
      Parameters:
        `n` - Dimension of the simplex. See `AbstractSimplex.AbstractSimplex(int,double)`.
        `sideLength` - Length of the sides of the default (hypercube) simplex. See `AbstractSimplex.AbstractSimplex(int,double)`.
        `rho` - Reflection coefficient.
        `khi` - Expansion coefficient.
        `gamma` - Contraction coefficient.
        `sigma` - Shrinkage coefficient.

    - #### NelderMeadSimplex

          public NelderMeadSimplex(int n,
                           double rho,
                           double khi,
                           double gamma,
                           double sigma)

      Build a Nelder-Mead simplex with specified coefficients.
      Parameters:
        `n` - Dimension of the simplex. See `AbstractSimplex.AbstractSimplex(int)`.
        `rho` - Reflection coefficient.
        `khi` - Expansion coefficient.
        `gamma` - Contraction coefficient.
        `sigma` - Shrinkage coefficient.

    - #### NelderMeadSimplex

          public NelderMeadSimplex(double[] steps)

      Build a Nelder-Mead simplex with default coefficients. The default coefficients are 1.0 for rho, 2.0 for khi and 0.5 for both gamma and sigma.
      Parameters:
        `steps` - Steps along the canonical axes representing box edges. They may be negative but not zero. See

    - #### NelderMeadSimplex

          public NelderMeadSimplex(double[] steps,
                           double rho,
                           double khi,
                           double gamma,
                           double sigma)

      Build a Nelder-Mead simplex with specified coefficients.
      Parameters:
        `steps` - Steps along the canonical axes representing box edges. They may be negative but not zero. See `AbstractSimplex.AbstractSimplex(double[])`.
        `rho` - Reflection coefficient.
        `khi` - Expansion coefficient.
        `gamma` - Contraction coefficient.
        `sigma` - Shrinkage coefficient.
      Throws:
        `IllegalArgumentException` - if one of the steps is zero.

    - #### NelderMeadSimplex

          public NelderMeadSimplex(double[][] referenceSimplex)

      Build a Nelder-Mead simplex with default coefficients. The default coefficients are 1.0 for rho, 2.0 for khi and 0.5 for both gamma and sigma.
      Parameters:
        `referenceSimplex` - Reference simplex. See `AbstractSimplex.AbstractSimplex(double[][])`.

    - #### NelderMeadSimplex

          public NelderMeadSimplex(double[][] referenceSimplex,
                           double rho,
                           double khi,
                           double gamma,
                           double sigma)

      Build a Nelder-Mead simplex with specified coefficients.
      Parameters:
        `referenceSimplex` - Reference simplex. See `AbstractSimplex.AbstractSimplex(double[][])`.
        `rho` - Reflection coefficient.
        `khi` - Expansion coefficient.
        `gamma` - Contraction coefficient.
        `sigma` - Shrinkage coefficient.
      Throws:
        `NotStrictlyPositiveException` - if the reference simplex does not contain at least one point.
        `DimensionMismatchException` - if there is a dimension mismatch in the reference simplex.

  - ### Method Detail

    - #### iterate

          public void iterate(MultivariateFunction evaluationFunction,
                     Comparator<PointValuePair> comparator)

      Compute the next simplex of the algorithm.
      Specified by:
        `iterate` in class `AbstractSimplex`
      Parameters:
        `evaluationFunction` - Evaluation function.
        `comparator` - Comparator to use to sort simplex vertices from best to worst.

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