C# Class xFunc.Maths.Expressions.Matrices.MatrixExtentions

Provides extention methods for matrices and vectors.

Afficher le fichier Open project: sys27/xFunc

Méthodes publiques

Méthode	Description
Abs ( this vector, ExpressionParameters parameters ) : double	Calculates the absolute value (norm) of vector.
Add ( this left, Matrix right ) : Matrix	Adds the right matrix to the left matrix.
Add ( this left, Matrix right, ExpressionParameters parameters ) : Matrix	Adds the right matrix to the left matrix.
Add ( this left, xFunc.Maths.Expressions.Matrices.Vector right ) : xFunc.Maths.Expressions.Matrices.Vector	Adds the right vector to the left vector.
Add ( this left, xFunc.Maths.Expressions.Matrices.Vector right, ExpressionParameters parameters ) : xFunc.Maths.Expressions.Matrices.Vector	Adds the right vector to the left vector.
Determinant ( this matrix ) : double	Calculates a determinant of specified matrix.
Determinant ( this matrix, ExpressionParameters parameters ) : double	Calculates a determinant of specified matrix.
Inverse ( this matrix, ExpressionParameters parameters ) : Matrix	Inverts a matrix.
LUPDecomposition ( this matrix, ExpressionParameters parameters, int &permutation, int &toggle ) : Matrix	Decomposes a matrix.
Mul ( this matrix, IExpression number ) : Matrix	Multiplies matrix by number.
Mul ( this matrix, IExpression number, ExpressionParameters parameters ) : Matrix	Multiplies matrix by number.
Mul ( this left, Matrix right ) : Matrix	Multiplies the left matrix by the right matrix.
Mul ( this left, Matrix right, ExpressionParameters parameters ) : Matrix	Multiplies the left matrix by the right matrix.
Mul ( this left, xFunc.Maths.Expressions.Matrices.Vector right ) : Matrix	Multiplies the left matrix by the right vector.
Mul ( this left, xFunc.Maths.Expressions.Matrices.Vector right, ExpressionParameters parameters ) : Matrix	Multiplies the left matrix by the right vector.
Mul ( this vector, IExpression number ) : xFunc.Maths.Expressions.Matrices.Vector	Multiplies vector by number.
Mul ( this vector, IExpression number, ExpressionParameters parameters ) : xFunc.Maths.Expressions.Matrices.Vector	Multiplies vector by number.
Sub ( this left, Matrix right ) : Matrix	Subtracts the right matrix from the left matrix.
Sub ( this left, Matrix right, ExpressionParameters parameters ) : Matrix	Subtracts the right matrix from the left matrix.
Sub ( this left, xFunc.Maths.Expressions.Matrices.Vector right ) : xFunc.Maths.Expressions.Matrices.Vector	Subtracts the right vector from the left vector.
Sub ( this left, xFunc.Maths.Expressions.Matrices.Vector right, ExpressionParameters parameters ) : xFunc.Maths.Expressions.Matrices.Vector	Subtracts the right vector from the left vector.
Transpose ( this matrix ) : IExpression	Transposes the specified matrix.
Transpose ( this vector ) : Matrix	Transposes the specified vector.

Private Methods

Méthode	Description
Determinant_ ( double matrix ) : double
HelperSolve ( double lu, double b ) : double[]
Inverse_ ( double matrix ) : double[][]
LUPDecomposition_ ( double matrix, int &permutation, int &toggle ) : double[][]

Method Details

Abs() public static méthode

Calculates the absolute value (norm) of vector.

public static Abs ( this vector, ExpressionParameters parameters ) : double
vector	this	The vector.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	double

Add() public static méthode

Adds the right matrix to the left matrix.

public static Add ( this left, Matrix right ) : Matrix
left	this	The left matrix.
right	Matrix	The right matrix.
Résultat	Matrix

Add() public static méthode

Adds the right matrix to the left matrix.

The size of matrices is invalid.

public static Add ( this left, Matrix right, ExpressionParameters parameters ) : Matrix
left	this	The left matrix.
right	Matrix	The right matrix.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	Matrix

Add() public static méthode

Adds the right vector to the left vector.

public static Add ( this left, xFunc.Maths.Expressions.Matrices.Vector right ) : xFunc.Maths.Expressions.Matrices.Vector
left	this	The left vector.
right	xFunc.Maths.Expressions.Matrices.Vector	The right vector.
Résultat	xFunc.Maths.Expressions.Matrices.Vector

Add() public static méthode

Adds the right vector to the left vector.

The size of matrices is invalid.

public static Add ( this left, xFunc.Maths.Expressions.Matrices.Vector right, ExpressionParameters parameters ) : xFunc.Maths.Expressions.Matrices.Vector
left	this	The left vector.
right	xFunc.Maths.Expressions.Matrices.Vector	The right vector.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	xFunc.Maths.Expressions.Matrices.Vector

Determinant() public static méthode

Calculates a determinant of specified matrix.

public static Determinant ( this matrix ) : double
matrix	this	The matrix.
Résultat	double

Determinant() public static méthode

Calculates a determinant of specified matrix.

The size of matrices is invalid.

public static Determinant ( this matrix, ExpressionParameters parameters ) : double
matrix	this	The matrix.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	double

Inverse() public static méthode

Inverts a matrix.

public static Inverse ( this matrix, ExpressionParameters parameters ) : Matrix
matrix	this	The matrix.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	Matrix

LUPDecomposition() public static méthode

Decomposes a matrix.

public static LUPDecomposition ( this matrix, ExpressionParameters parameters, int &permutation, int &toggle ) : Matrix
matrix	this	The matrix.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
permutation	int	An array of permutations.
toggle	int	Used for calculating a determinant.
Résultat	Matrix

Mul() public static méthode

Multiplies matrix by number.

public static Mul ( this matrix, IExpression number ) : Matrix
matrix	this	The matrix.
number	IExpression	The number.
Résultat	Matrix

Mul() public static méthode

Multiplies matrix by number.

public static Mul ( this matrix, IExpression number, ExpressionParameters parameters ) : Matrix
matrix	this	The matrix.
number	IExpression	The number.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	Matrix

Mul() public static méthode

Multiplies the left matrix by the right matrix.

public static Mul ( this left, Matrix right ) : Matrix
left	this	The left matrix.
right	Matrix	The right matrix.
Résultat	Matrix

Mul() public static méthode

Multiplies the left matrix by the right matrix.

The size of matrices is invalid.

public static Mul ( this left, Matrix right, ExpressionParameters parameters ) : Matrix
left	this	The left matrix.
right	Matrix	The right matrix.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	Matrix

Mul() public static méthode

Multiplies the left matrix by the right vector.

public static Mul ( this left, xFunc.Maths.Expressions.Matrices.Vector right ) : Matrix
left	this	The left matrix.
right	xFunc.Maths.Expressions.Matrices.Vector	The right vector.
Résultat	Matrix

Mul() public static méthode

Multiplies the left matrix by the right vector.

The size of matrices is invalid.

public static Mul ( this left, xFunc.Maths.Expressions.Matrices.Vector right, ExpressionParameters parameters ) : Matrix
left	this	The left matrix.
right	xFunc.Maths.Expressions.Matrices.Vector	The right vector.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	Matrix

Mul() public static méthode

Multiplies vector by number.

public static Mul ( this vector, IExpression number ) : xFunc.Maths.Expressions.Matrices.Vector
vector	this	The vector.
number	IExpression	The number.
Résultat	xFunc.Maths.Expressions.Matrices.Vector

Mul() public static méthode

Multiplies vector by number.

public static Mul ( this vector, IExpression number, ExpressionParameters parameters ) : xFunc.Maths.Expressions.Matrices.Vector
vector	this	The vector.
number	IExpression	The number.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	xFunc.Maths.Expressions.Matrices.Vector

Sub() public static méthode

Subtracts the right matrix from the left matrix.

public static Sub ( this left, Matrix right ) : Matrix
left	this	The left matrix.
right	Matrix	The right matrix.
Résultat	Matrix

Sub() public static méthode

Subtracts the right matrix from the left matrix.

The size of matrices is invalid.

public static Sub ( this left, Matrix right, ExpressionParameters parameters ) : Matrix
left	this	The left matrix.
right	Matrix	The right matrix.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	Matrix

Sub() public static méthode

Subtracts the right vector from the left vector.

public static Sub ( this left, xFunc.Maths.Expressions.Matrices.Vector right ) : xFunc.Maths.Expressions.Matrices.Vector
left	this	The left vector.
right	xFunc.Maths.Expressions.Matrices.Vector	The right vector.
Résultat	xFunc.Maths.Expressions.Matrices.Vector

Sub() public static méthode

Subtracts the right vector from the left vector.

The size of matrices is invalid.

public static Sub ( this left, xFunc.Maths.Expressions.Matrices.Vector right, ExpressionParameters parameters ) : xFunc.Maths.Expressions.Matrices.Vector
left	this	The left vector.
right	xFunc.Maths.Expressions.Matrices.Vector	The right vector.
parameters	ExpressionParameters	An object that contains all parameters and functions for expressions.
Résultat	xFunc.Maths.Expressions.Matrices.Vector

Transpose() public static méthode

Transposes the specified matrix.

public static Transpose ( this matrix ) : IExpression
matrix	this	The matrix.
Résultat	IExpression

Transpose() public static méthode

Transposes the specified vector.

public static Transpose ( this vector ) : Matrix
vector	this	The vector.
Résultat	Matrix