C# Class numl.Math.LinearAlgebra.MatrixExtensions

A matrix extensions.

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Public Methods

Method	Description
Cholesky ( this m ) : Matrix	A Matrix extension method that choleskies the given m.
Correlation ( this source, VectorType t = VectorType.Col ) : Matrix	A Matrix extension method that correlations.
Covariance ( this source, VectorType t = VectorType.Col ) : Matrix	A Matrix extension method that covariances.
CovarianceDiag ( this source, VectorType t = VectorType.Col ) : Vector	A Matrix extension method that covariance diagram.
Det ( this m ) : double	computes matrix determinant NOTE: currently using cholesky factorization to save time so non symmetric positive semi-definite matrices will cause problems...
Diag ( this m ) : Vector	A Matrix extension method that diagrams the given m.
Each ( this m, double>.Func fnElementWiseOp ) : Matrix	Performs an element-wise operation on the input Matrix.
Each ( this m, Func fnElementWiseOp ) : Matrix	Performs an element wise operation on the input Matrix.
Each ( this m1, Matrix m2, Func fnElementWiseOp ) : Matrix	Performs an element-wise operation on the input Matrices.
Eigs ( this m ) : Matrix>.Tuple	A Matrix extension method that eigs the given m.
Extract ( this m, int x, int y, int width, int height, bool safe = true ) : Matrix	A Matrix extension method that extracts this object.
Indices ( this source, bool>.Func f ) : IEnumerable	Enumerates indices in this collection.
Indices ( this source, bool>.Func f, VectorType t ) : IEnumerable	Enumerates indices in this collection.
Max ( this source, VectorType t ) : Vector	Returns a vector of the maximum values for each row/column.
Max ( this source ) : double	A Matrix extension method that determines the maximum of the given parameters.
Mean ( this source, VectorType t ) : Vector	A Matrix extension method that determines the mean of the given parameters.
Median ( this source, VectorType t ) : Vector	Returns a vector of the median values for each row or column.
Min ( this source, VectorType t ) : Vector	Returns a vector of the minimum values for each row/column.
Min ( this source ) : double	A Matrix extension method that determines the minimum of the given parameters.
Norm ( this m ) : double	A Matrix extension method that normals.
Norm ( this m, double p ) : double	A Matrix extension method that normals.
Reverse ( this source, VectorType t = VectorType.Row ) : IEnumerable	Enumerates reverse in this collection.
Round ( this m, int decimals ) : Matrix	A Matrix extension method that rounds.
SVD ( this m ) : Tuple	A Matrix extension method that svds the given m.
Slice ( this m, IEnumerable indices ) : Matrix	A Matrix extension method that slices.
Slice ( this m, IEnumerable indices, VectorType t ) : Matrix	A Matrix extension method that slices.
Slice ( this m, int minIndex, int maxIndex, VectorType t = VectorType.Row ) : Matrix	Slices the input matrix using starting and stopping positions.
Sort ( this m, double>.Func keySelector, VectorType t, bool isAscending = true ) : Matrix	Sorts the given Matrix by the specified row or column and returns the new Matrix.
Sort ( this m, double>.Func keySelector, VectorType t, bool isAscending, Vector &indices ) : Matrix	Sorts the given Matrix by the specified row or column index and returns the new Matrix along with the original indices.
Stack ( this m, Matrix t ) : Matrix	A Matrix extension method that stacks.
Stats ( this m ) : Matrix[]	A Matrix extension method that statistics.
Stats ( this m, VectorType t ) : Matrix[]	A Matrix extension method that statistics.
StdDev ( this source, VectorType t ) : Vector	Computes the standard deviation of the given matrix
Sum ( this m, VectorType t ) : Vector	Computes the sum of either the rows or columns of a matrix and returns a vector.
Sum ( Matrix m, int i, VectorType t ) : double	Computes the sum of either the rows or columns of a matrix and returns a vector.
Sum ( this m ) : double	Computes the entire sum of every element in the Matrix.
ToBinary ( this m, bool>.Func fnPredicate, double trueValue = 1.0, double falseValue = 0.0 ) : Matrix	Converts a matrix to a binary indicator matrix based on the specified predicate.
Trace ( this m ) : double	Computes the trace of a matrix.
Unshape ( this m ) : Vector	Unrolls the matrix into an n x 1 vector.
VStack ( this m, Matrix t ) : Matrix	A Matrix extension method that stacks.

Method Details

Cholesky() public static method

A Matrix extension method that choleskies the given m.

public static Cholesky ( this m ) : Matrix
m	this	Matrix.
return	Matrix

Correlation() public static method

A Matrix extension method that correlations.

public static Correlation ( this source, VectorType t = VectorType.Col ) : Matrix
source	this	The source to act on.
t	VectorType	(Optional) Row or Column sum.
return	Matrix

Covariance() public static method

A Matrix extension method that covariances.

public static Covariance ( this source, VectorType t = VectorType.Col ) : Matrix
source	this	The source to act on.
t	VectorType	(Optional) Row or Column sum.
return	Matrix

CovarianceDiag() public static method

A Matrix extension method that covariance diagram.

public static CovarianceDiag ( this source, VectorType t = VectorType.Col ) : Vector
source	this	The source to act on.
t	VectorType	(Optional) Row or Column sum.
return	Vector

Det() public static method

computes matrix determinant NOTE: currently using cholesky factorization to save time so non symmetric positive semi-definite matrices will cause problems...

public static Det ( this m ) : double
m	this	Matrix.
return	double

Diag() public static method

A Matrix extension method that diagrams the given m.

public static Diag ( this m ) : Vector
m	this	Matrix.
return	Vector

Each() public static method

Performs an element-wise operation on the input Matrix.

public static Each ( this m, double>.Func fnElementWiseOp ) : Matrix
m	this	Matrix.
fnElementWiseOp	double>.Func	Function to apply.
return	Matrix

Each() public static method

Performs an element wise operation on the input Matrix.

public static Each ( this m, Func fnElementWiseOp ) : Matrix
m	this	Matrix.
fnElementWiseOp	Func	Function to apply to each cell specified by the value and cell coordinates.
return	Matrix

Each() public static method

Performs an element-wise operation on the input Matrices.

public static Each ( this m1, Matrix m2, Func fnElementWiseOp ) : Matrix
m1	this	First Matrix.
m2	Matrix	Second Matrix.
fnElementWiseOp	Func	Operation to perform on the value from the first and second matrices.
return	Matrix

Eigs() public static method

A Matrix extension method that eigs the given m.

public static Eigs ( this m ) : Matrix>.Tuple
m	this	Matrix.
return	Matrix>.Tuple

Extract() public static method

A Matrix extension method that extracts this object.

public static Extract ( this m, int x, int y, int width, int height, bool safe = true ) : Matrix
m	this	Matrix.
x	int	The x coordinate.
y	int	The y coordinate.
width	int	The width.
height	int	The height.
safe	bool	(Optional) true to safe.
return	Matrix

Indices() public static method

Enumerates indices in this collection.

public static Indices ( this source, bool>.Func f ) : IEnumerable
source	this	The source to act on.
f	bool>.Func	The Func<Vector,bool> to process.
return	IEnumerable

Indices() public static method

Enumerates indices in this collection.

public static Indices ( this source, bool>.Func f, VectorType t ) : IEnumerable
source	this	The source to act on.
f	bool>.Func	The Func<Vector,bool> to process.
t	VectorType	Row or Column sum.
return	IEnumerable

Max() public static method

Returns a vector of the maximum values for each row/column.

public static Max ( this source, VectorType t ) : Vector
source	this
t	VectorType
return	Vector

Max() public static method

A Matrix extension method that determines the maximum of the given parameters.

public static Max ( this source ) : double
source	this	The source to act on.
return	double

Mean() public static method

A Matrix extension method that determines the mean of the given parameters.

public static Mean ( this source, VectorType t ) : Vector
source	this	The source to act on.
t	VectorType	Row or Column sum.
return	Vector

Median() public static method

Returns a vector of the median values for each row or column.

public static Median ( this source, VectorType t ) : Vector
source	this
t	VectorType
return	Vector

Min() public static method

Returns a vector of the minimum values for each row/column.

public static Min ( this source, VectorType t ) : Vector
source	this
t	VectorType
return	Vector

Min() public static method

A Matrix extension method that determines the minimum of the given parameters.

public static Min ( this source ) : double
source	this	The source to act on.
return	double

Norm() public static method

A Matrix extension method that normals.

public static Norm ( this m ) : double
m	this	Matrix.
return	double

Norm() public static method

A Matrix extension method that normals.

public static Norm ( this m, double p ) : double
m	this	Matrix.
p	double	The double to process.
return	double

Reverse() public static method

Enumerates reverse in this collection.

public static Reverse ( this source, VectorType t = VectorType.Row ) : IEnumerable
source	this	The source to act on.
t	VectorType	(Optional) Row or Column sum.
return	IEnumerable

Round() public static method

A Matrix extension method that rounds.

public static Round ( this m, int decimals ) : Matrix
m	this	Matrix.
decimals	int	(Optional) the decimals.
return	Matrix

SVD() public static method

A Matrix extension method that svds the given m.

public static SVD ( this m ) : Tuple
m	this	Matrix.
return	Tuple

Slice() public static method

A Matrix extension method that slices.

public static Slice ( this m, IEnumerable indices ) : Matrix
m	this	Matrix.
indices	IEnumerable	The indices.
return	Matrix

Slice() public static method

A Matrix extension method that slices.

public static Slice ( this m, IEnumerable indices, VectorType t ) : Matrix
m	this	Matrix.
indices	IEnumerable	The indices.
t	VectorType	Row or Column sum.
return	Matrix

Slice() public static method

Slices the input matrix using starting and stopping positions.

public static Slice ( this m, int minIndex, int maxIndex, VectorType t = VectorType.Row ) : Matrix
m	this	Source matrix.
minIndex	int	Minimum index to slice from.
maxIndex	int	Maximum index to slice.
t	VectorType
return	Matrix

Sort() public static method

Sorts the given Matrix by the specified row or column and returns the new Matrix.

public static Sort ( this m, double>.Func keySelector, VectorType t, bool isAscending = true ) : Matrix
m	this	The Matrix
keySelector	double>.Func	Property selector to sort by.
t	VectorType	Specifies whether to sort horizontally () or vertically ().
isAscending	bool	Determines whether to sort ascending or descending (Default: True)
return	Matrix

Sort() public static method

Sorts the given Matrix by the specified row or column index and returns the new Matrix along with the original indices.

public static Sort ( this m, double>.Func keySelector, VectorType t, bool isAscending, Vector &indices ) : Matrix
m	this	The Matrix
keySelector	double>.Func	Property selector to sort by.
t	VectorType	Specifies whether to sort horizontally () or vertically ().
isAscending	bool	Determines whether to sort ascending or descending (Default: True)
indices	Vector	Vector of the original () indices before the sort operation.
return	Matrix

Stack() public static method

A Matrix extension method that stacks.

public static Stack ( this m, Matrix t ) : Matrix
m	this	Matrix.
t	Matrix	Row or Column sum.
return	Matrix

Stats() public static method

A Matrix extension method that statistics.

public static Stats ( this m ) : Matrix[]
m	this	Matrix.
return	Matrix[]

Stats() public static method

A Matrix extension method that statistics.

public static Stats ( this m, VectorType t ) : Matrix[]
m	this	Matrix.
t	VectorType	Row or Column sum.
return	Matrix[]

StdDev() public static method

Computes the standard deviation of the given matrix

public static StdDev ( this source, VectorType t ) : Vector
source	this
t	VectorType	Return a Row or Column vector
return	Vector

Sum() public static method

Computes the sum of either the rows or columns of a matrix and returns a vector.

public static Sum ( this m, VectorType t ) : Vector
m	this	Matrix.
t	VectorType	Row or Column sum.
return	Vector

Sum() public static method

Computes the sum of either the rows or columns of a matrix and returns a vector.

public static Sum ( Matrix m, int i, VectorType t ) : double
m	Matrix	Matrix.
i	int	Zero-based index of the.
t	VectorType	Row or Column sum.
return	double

Sum() public static method

Computes the entire sum of every element in the Matrix.

public static Sum ( this m ) : double
m	this	Matrix.
return	double

ToBinary() public static method

Converts a matrix to a binary indicator matrix based on the specified predicate.

public static ToBinary ( this m, bool>.Func fnPredicate, double trueValue = 1.0, double falseValue = 0.0 ) : Matrix
m	this	Matrix.
fnPredicate	bool>.Func	Function to test each Value.
trueValue	double	(Optional) Value to set when condition () returns True
falseValue	double	(Optional) Value to set when condition () returns False
return	Matrix

Trace() public static method

Computes the trace of a matrix.

public static Trace ( this m ) : double
m	this	Matrix.
return	double

Unshape() public static method

Unrolls the matrix into an n x 1 vector.

public static Unshape ( this m ) : Vector
m	this
return	Vector

VStack() public static method

A Matrix extension method that stacks.

public static VStack ( this m, Matrix t ) : Matrix
m	this	Matrix.
t	Matrix	Row or Column sum.
return	Matrix