BroydenMethod (simBio API)

概要

パッケージ

クラス

使用

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非推奨 API

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概要: 入れ子 | フィールド | コンストラクタ | メソッド

詳細: フィールド | コンストラクタ | メソッド

org.simBio.util.numerical.methods
クラス BroydenMethod

java.lang.Object
  org.simBio.util.numerical.methods.BroydenMethod

public final class BroydenMethod
extends java.lang.Object
extends java.lang.Object

This class provides Broyden's method to solve systems of nonlinear equations. Broyden's method is a quasi-Newton method.

バージョン:: $Revision: 1.1 $
作成者:: SHIMAYOSHI Takao

フィールドの概要
`static double`	`DEFAULT_EPSILON` A tiny value as tolerance.

メソッドの概要
`static double`	`solve(MathFunction[] functions, Node[] nodes)` Solves the specified nonlinear equations for the specified variables.
`static double`	`solve(MathFunction[] functions, Node[] nodes, double epsilon, int iteration)` Solves the specified nonlinear equations for the specified variables.
`static double`	`solve(MathMultivariableFunction[] functions, double[] values)` Solves the specified nonlinear equations for the specified variables.
`static double`	`solve(MathMultivariableFunction[] functions, double[] values, double epsilon, int iteration)` Solves the specified nonlinear equations for the specified variables.
`static double`	`solve(MathMultivariableFunction[] functions, Node[] nodes)` Solves the specified nonlinear equations for the specified variables.
`static double`	`solve(MathMultivariableFunction[] functions, Node[] nodes, double epsilon, int iteration)` Solves the specified nonlinear equations for the specified variables.

クラス java.lang.Object から継承されたメソッド
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

フィールドの詳細

DEFAULT_EPSILON

public static final double DEFAULT_EPSILON

A tiny value as tolerance.

関連項目:: 定数フィールド値

メソッドの詳細

solve

public static double solve(MathFunction[] functions,
                           Node[] nodes)

Solves the specified nonlinear equations for the specified variables. In this implementation of Broyden's method, Jacobian by numerical differentiation is used for initial B array, and damping is used on iterative computation.

パラメータ:: functions - The equations to be solved. Their calculate methods are repeated called.; nodes - The variables to be solved. Their values are setted to the solution.
戻り値:: The norm of the funcion values on the aproximate solution.

solve

public static double solve(MathFunction[] functions,
                           Node[] nodes,
                           double epsilon,
                           int iteration)

パラメータ:: functions - The equations to be solved. Their calculate methods are repeated called.; nodes - The variables to be solved. Their values are setted to the solution.; epsilon - The accuracy. The iteration are repeated until the norm of functions gets lower than this value.; iteration - The maximam iteration count.
戻り値:: The norm of the funcion values on the aproximate solution.

solve

public static double solve(MathMultivariableFunction[] functions,
                           Node[] nodes)

パラメータ:: functions - The equations to be solved. Their calculate methods are repeated called.; nodes - The variables to be solved. Their values are setted to the solution.
戻り値:: The norm of the funcion values on the aproximate solution.

solve

public static double solve(MathMultivariableFunction[] functions,
                           Node[] nodes,
                           double epsilon,
                           int iteration)

パラメータ:: functions - The equations to be solved. Their calculate methods are repeated called.; nodes - The variables to be solved. Their values are setted to the solution.; epsilon - The accuracy. The iteration are repeated until the norm of functions gets lower than this value.; iteration - The maximam iteration count.
戻り値:: The norm of the funcion values on the aproximate solution.

solve

public static double solve(MathMultivariableFunction[] functions,
                           double[] values)

パラメータ:: functions - The equations to be solved. Their calculate methods are repeated called.; values - The values of the variables to be solved. The initial values should be setted on the method calling and the solution values is setted on the method returning.
戻り値:: The norm of the funcion values on the aproximate solution.

solve

public static double solve(MathMultivariableFunction[] functions,
                           double[] values,
                           double epsilon,
                           int iteration)

パラメータ:: functions - The equations to be solved. Their calculate methods are repeated called.; values - The values of the variables to be solved. The initial values should be setted on the method calling and the solution values is setted on the method returning.; epsilon - The accuracy. The iteration are repeated until the norm of functions gets lower than this value.; iteration - The maximam iteration count.
戻り値:: The norm of the funcion values on the aproximate solution.