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

Provides extention methods for matrices and vectors.
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Открытые методы

Метод Описание
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.

Приватные методы

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

Описание методов

Abs() публичный статический Метод

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.
Результат double

Add() публичный статический Метод

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.
Результат Matrix

Add() публичный статический Метод

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.
Результат Matrix

Add() публичный статический Метод

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.
Результат xFunc.Maths.Expressions.Matrices.Vector

Add() публичный статический Метод

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.
Результат xFunc.Maths.Expressions.Matrices.Vector

Determinant() публичный статический Метод

Calculates a determinant of specified matrix.
public static Determinant ( this matrix ) : double
matrix this The matrix.
Результат double

Determinant() публичный статический Метод

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.
Результат double

Inverse() публичный статический Метод

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.
Результат Matrix

LUPDecomposition() публичный статический Метод

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.
Результат Matrix

Mul() публичный статический Метод

Multiplies matrix by number.
public static Mul ( this matrix, IExpression number ) : Matrix
matrix this The matrix.
number IExpression The number.
Результат Matrix

Mul() публичный статический Метод

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.
Результат Matrix

Mul() публичный статический Метод

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.
Результат Matrix

Mul() публичный статический Метод

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.
Результат Matrix

Mul() публичный статический Метод

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.
Результат Matrix

Mul() публичный статический Метод

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.
Результат Matrix

Mul() публичный статический Метод

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

Mul() публичный статический Метод

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.
Результат xFunc.Maths.Expressions.Matrices.Vector

Sub() публичный статический Метод

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.
Результат Matrix

Sub() публичный статический Метод

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.
Результат Matrix

Sub() публичный статический Метод

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.
Результат xFunc.Maths.Expressions.Matrices.Vector

Sub() публичный статический Метод

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.
Результат xFunc.Maths.Expressions.Matrices.Vector

Transpose() публичный статический Метод

Transposes the specified matrix.
public static Transpose ( this matrix ) : IExpression
matrix this The matrix.
Результат IExpression

Transpose() публичный статический Метод

Transposes the specified vector.
public static Transpose ( this vector ) : Matrix
vector this The vector.
Результат Matrix