C# Class numl.Math.LinearAlgebra.Matrix

A matrix.

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Méthodes publiques

Méthode	Description
Center ( VectorType t ) : Matrix	In place centering. WARNING: WILL UPDATE MATRIX!
Cholesky ( Matrix m ) : Matrix	Cholesky Factorization of a Matrix.
Col ( int i ) : Vector	Cols.
Copy ( ) : Matrix	create deep copy of matrix.
Correlation ( Matrix source, VectorType t = VectorType.Col ) : Matrix	Correlations.
Covariance ( Matrix source, VectorType t = VectorType.Col ) : Matrix	Covariances.
CovarianceDiag ( Matrix source, VectorType t = VectorType.Col ) : Vector	Covariance diagram.
Create ( int n, Func f ) : Matrix	Creates a new Matrix.
Create ( int n, Func f ) : Matrix	Creates a new Matrix.
Create ( int n, int d, Func f ) : Matrix	Creates a new Matrix.
Create ( int n, int d, Func f ) : Matrix	Creates a new Matrix.
Det ( Matrix x ) : double	Dets the given x coordinate.
Diag ( Matrix m ) : Vector	Diagrams the given m.
Dot ( Matrix x, Vector v ) : Vector	Dot product between a matrix and a vector.
Dot ( Vector v, Matrix x ) : Vector	Dot product between a matrix and a vector.
Each ( Matrix m, double>.Func fnElementWiseOp ) : Matrix	Performs an element wise operation on the input Matrix.
Each ( Matrix m, Func fnElementWiseOp ) : Matrix	Performs an element wise operation on the input Matrix.
Each ( Matrix m1, Matrix m2, Func fnElementWiseOp ) : Matrix	Performs an element-wise operation on the input Matrices.
Equals ( Matrix m, double tol ) : bool	Determines whether the specified T:System.Object is equal to the current T:System.Object.
Equals ( object obj ) : bool	Determines whether the specified T:System.Object is equal to the current T:System.Object.
Evd ( Matrix A ) : Matrix>.Tuple	Eigen Decomposition.
Extract ( Matrix m, int x, int y, int width, int height, bool safe = true ) : Matrix	Extracts this object.
FrobeniusNorm ( Matrix A ) : double	Matrix Frobenius Norm.
GetCols ( ) : IEnumerable	Gets the cols in this collection.
GetHashCode ( ) : int	Serves as a hash function for a particular type.
GetMatrix ( int d1, int d2, int n1, int n2 ) : Matrix	Gets a matrix.
GetRows ( ) : IEnumerable	Gets the rows in this collection.
GetVector ( int index, int from, int to, VectorType type ) : Vector	Gets a vector.
Identity ( int n ) : Matrix	n x n identity matrix.
Identity ( int n, int d ) : Matrix	n x d identity matrix.
Indices ( Matrix source, bool>.Func f ) : IEnumerable	Enumerates indices in this collection.
Indices ( Matrix source, bool>.Func f, VectorType t ) : IEnumerable	Enumerates indices in this collection.
Insert ( Vector v, int index, VectorType t, bool insertAfter = true ) : Matrix	Returns a new Matrix with the Vector inserted at the specified position
Inverse ( ) : Matrix	Creates an inverse of the current matrix
LU ( Matrix A ) : Tuple	NOT IMPLEMENTED!
Load ( string file ) : Matrix	Loads the given stream.
Matrix ( double m ) : System	Create new matrix with prepopulated vals.
Matrix ( int n ) : System	Create matrix n x n matrix.
Matrix ( int n, int d ) : System	Create new n x d matrix.
Max ( Matrix source, VectorType t = VectorType.Col ) : Vector	Returns a vector of the maximum values for each row/column.
Max ( Matrix source ) : double	Determines the maximum of the given parameters.
Mean ( Matrix source, VectorType t ) : Vector	Determines the mean of the given parameters.
Median ( Matrix source, VectorType t = VectorType.Col ) : Vector	Returns a vector of the median values for each row or column.
Min ( Matrix source, VectorType t = VectorType.Col ) : Vector	Returns a vector of the minimum values for each row/column.
Min ( Matrix source ) : double	Determines the minimum of the given parameters.
Norm ( Matrix A, double p ) : double	Standard Matrix Norm.
NormRand ( Vector means, Vector stdDev, int n ) : Matrix	Normalise random.
NormRand ( int n, double min ) : Matrix	Normalise random.
NormRand ( int n, int d, double min ) : Matrix	Normalise random.
Normalize ( VectorType t ) : void	In place normalization. WARNING: WILL UPDATE MATRIX!
Parse ( string text ) : Matrix	Parses a string containing MATLAB style Matrix syntax, i.e. "[[1, 2, 3]; [3, 4, 5]]"
Pivot ( Matrix M ) : Matrix	Pivots the given m.
QR ( Matrix A ) : Matrix>.Tuple	Modified Gram-Schmidt QR Factorization.
Rand ( int n, double min ) : Matrix	Generate a matrix n x d with numbers 0 less than x less than 1 drawn uniformly at random.
Rand ( int n, int d, double min ) : Matrix	Generate a matrix n x d with numbers 0 less than x less than 1 drawn uniformly at random.
Remove ( int index, VectorType t ) : Matrix	Removes this object.
Reshape ( Matrix m, int rows, int cols ) : Matrix	Reshapes the supplied matrix into a new matrix shape.
Reshape ( Vector v, int dimension, VectorType dimensionType = VectorType.Col, VectorType byVector = VectorType.Row ) : Matrix	Reshapes the supplied Vector into a Matrix form.
Reshape ( Vector v, int rows, int columns, VectorType byVector = VectorType.Row ) : Matrix	Reshapes the supplied Vector into a Matrix form.
Reverse ( Matrix source, VectorType t = VectorType.Row ) : IEnumerable	Enumerates reverse in this collection.
Round ( Matrix m, int decimals ) : Matrix	Matrix Roundoff.
Row ( int i ) : Vector	Rows.
SVD ( Matrix A ) : Tuple	Singular Value Decomposition.
Save ( string file ) : void	Save matrix to file
Slice ( Matrix m, IEnumerable indices ) : Matrix	Slices.
Slice ( Matrix m, IEnumerable indices, VectorType t ) : Matrix	Slices.
Sort ( Matrix source, double>.Func keySelector, VectorType t, bool ascending = true ) : Matrix	Sorts the given Matrix by the specified row or column selector and returns the new Matrix
Sort ( Matrix source, double>.Func keySelector, VectorType t, bool ascending, Vector &indices ) : Matrix	Sorts the given Matrix by the specified row or column selector and returns the new Matrix along with the original indices.
Stack ( ) : Matrix	Stack a set of vectors into a matrix.
Stack ( Matrix m, Matrix t ) : Matrix	Stack a set of vectors into a matrix.
Stats ( Matrix x, VectorType t = VectorType.Row ) : Matrix[]	Statistics.
StdDev ( Matrix source, VectorType t = VectorType.Col ) : Vector	Computes the standard deviation of the given matrix
Sum ( Matrix m, VectorType t ) : Vector	Computes the sum of either the rows or columns of a matrix and returns a vector.
Sum ( Matrix m ) : double	Computes the sum of every element of the matrix.
Sum ( Matrix m, int i, VectorType t ) : double	Computes the sum of every element of the matrix.
Swap ( int from, int to, VectorType t ) : void	Swaps.
SwapCol ( int from, int to ) : void	Swap col.
SwapRow ( int from, int to ) : void	Swap row.
ToString ( ) : string	Returns a string that represents the current object.
ToVector ( ) : Vector	Converts this object to a vector.
Trace ( Matrix m ) : double	Computes the trace of a matrix.
Transpose ( ) : Matrix	Deep copy transpose.
Unshape ( Matrix m, VectorType dimensionType = VectorType.Col ) : Vector	Unshapes the given Matrix into a Vector form along the dimensionType axis. Reads from the source Matrix and stacks from right to left when dimensionType equals 'Col' otherwise uses a bottom up approach.
VStack ( ) : Matrix	Stacks.
VStack ( Matrix m, Matrix t ) : Matrix	Stacks.
Zeros ( int n ) : Matrix	Initial Zero Matrix (n by n)
Zeros ( int n, int d ) : Matrix	Initial zero matrix.
operator ( ) : IEnumerable	Returns an array of index (i, j) pairs matching indices that are not equal to the supplied value.
operator ( ) : Matrix	matrix multiplication.
operator ( ) : Vector	Solves Ax = b for x If A is not square or the system is overdetermined, this operation solves the linear least squares A.T * A x = A.T * b.
operator ( ) : bool	Inequality operator.
this ( bool>.Func f, VectorType t ) : Matrix	Indexer to get items within this collection using array index syntax.
this ( int i ) : Vector	Returns row vector specified at index i.
this ( int i, VectorType t ) : Vector	returns col/row vector at index j.
this ( bool>.Func f ) : double	Indexer to set items within this collection using array index syntax.
this ( IEnumerable slice ) : double	Indexer to set items within this collection using an n x 2 array of indices to set.
this ( int i, int j ) : double	Accessor.

Private Methods

Méthode	Description
Backward ( Matrix A, Vector b ) : Vector	Backwards.
Forward ( Matrix A, Vector b ) : Vector	Forwards.
Inverse ( Matrix mat ) : Matrix	Inverses the given matrix.
Matrix ( ) : System	Used only internally.
Stack ( VectorType type ) : Matrix	Stack a set of vectors into a matrix.
ToArray ( ) : double[][]	Performs a deep copy of the underlying matrix and returns a 2D array.
ToTransposeArray ( ) : double[][]	Performs a deep copy of the underlying matrix, transpose it and returns a 2D array.

Method Details

Center() public méthode

In place centering. WARNING: WILL UPDATE MATRIX!

public Center ( VectorType t ) : Matrix
t	VectorType	.
Résultat	Matrix

Cholesky() public static méthode

Cholesky Factorization of a Matrix.

Thrown when the requested operation is invalid. Thrown when a Singular Matrix error condition occurs.

public static Cholesky ( Matrix m ) : Matrix
m	Matrix	Input Matrix.
Résultat	Matrix

Col() public méthode

Cols.

public Col ( int i ) : Vector
i	int	Zero-based index of the.
Résultat	Vector

Copy() public méthode

create deep copy of matrix.

public Copy ( ) : Matrix
Résultat	Matrix

Correlation() public static méthode

Correlations.

public static Correlation ( Matrix source, VectorType t = VectorType.Col ) : Matrix
source	Matrix	Source for the.
t	VectorType	(Optional) Row or Column sum.
Résultat	Matrix

Covariance() public static méthode

Covariances.

public static Covariance ( Matrix source, VectorType t = VectorType.Col ) : Matrix
source	Matrix	Source for the.
t	VectorType	(Optional) Row or Column sum.
Résultat	Matrix

CovarianceDiag() public static méthode

Covariance diagram.

public static CovarianceDiag ( Matrix source, VectorType t = VectorType.Col ) : Vector
source	Matrix	Source for the.
t	VectorType	(Optional) Row or Column sum.
Résultat	Vector

Create() public static méthode

Creates a new Matrix.

public static Create ( int n, Func f ) : Matrix
n	int	Size.
f	Func	The Func<int,int,double> to process.
Résultat	Matrix

Create() public static méthode

Creates a new Matrix.

public static Create ( int n, Func f ) : Matrix
n	int	Size.
f	Func	The Func<int,int,double> to process.
Résultat	Matrix

Create() public static méthode

Creates a new Matrix.

public static Create ( int n, int d, Func f ) : Matrix
n	int	Size.
d	int	cols.
f	Func	The Func<int,int,double> to process.
Résultat	Matrix

Create() public static méthode

Creates a new Matrix.

public static Create ( int n, int d, Func f ) : Matrix
n	int	Size.
d	int	cols.
f	Func	The Func<int,int,double> to process.
Résultat	Matrix

Det() public static méthode

Dets the given x coordinate.

Thrown when the requested operation is invalid.

public static Det ( Matrix x ) : double
x	Matrix	Matrix x.
Résultat	double

Diag() public static méthode

Diagrams the given m.

public static Diag ( Matrix m ) : Vector
m	Matrix	Input Matrix.
Résultat	Vector

Dot() public static méthode

Dot product between a matrix and a vector.

Thrown when the requested operation is invalid.

public static Dot ( Matrix x, Vector v ) : Vector
x	Matrix	Matrix x.
v	Vector	Vector v.
Résultat	Vector

Dot() public static méthode

Dot product between a matrix and a vector.

Thrown when the requested operation is invalid.

public static Dot ( Vector v, Matrix x ) : Vector
v	Vector	Vector v.
x	Matrix	Matrix x.
Résultat	Vector

Each() public static méthode

Performs an element wise operation on the input Matrix.

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

Each() public static méthode

Performs an element wise operation on the input Matrix.

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

Each() public static méthode

Performs an element-wise operation on the input Matrices.

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

Equals() public méthode

Determines whether the specified T:System.Object is equal to the current T:System.Object.

public Equals ( Matrix m, double tol ) : bool
m	Matrix	initial matrix.
tol	double	Double to be compared.
Résultat	bool

Equals() public méthode

Determines whether the specified T:System.Object is equal to the current T:System.Object.

public Equals ( object obj ) : bool
obj	object	The object to compare with the current object.
Résultat	bool

Evd() public static méthode

Eigen Decomposition.

public static Evd ( Matrix A ) : Matrix>.Tuple
A	Matrix	Input Matrix.
Résultat	Matrix>.Tuple

Extract() public static méthode

Extracts this object.

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

FrobeniusNorm() public static méthode

Matrix Frobenius Norm.

public static FrobeniusNorm ( Matrix A ) : double
A	Matrix	Input Matrix.
Résultat	double

GetCols() public méthode

Gets the cols in this collection.

public GetCols ( ) : IEnumerable
Résultat	IEnumerable

GetHashCode() public méthode

Serves as a hash function for a particular type.

public GetHashCode ( ) : int
Résultat	int

GetMatrix() public méthode

Gets a matrix.

public GetMatrix ( int d1, int d2, int n1, int n2 ) : Matrix
d1	int	The first int.
d2	int	The second int.
n1	int	The first int.
n2	int	The second int.
Résultat	Matrix

GetRows() public méthode

Gets the rows in this collection.

public GetRows ( ) : IEnumerable
Résultat	IEnumerable

GetVector() public méthode

Gets a vector.

public GetVector ( int index, int from, int to, VectorType type ) : Vector
index	int	Zero-based index of the.
from	int	Source for the.
to	int	to.
type	VectorType	The type.
Résultat	Vector

Identity() public static méthode

n x n identity matrix.

public static Identity ( int n ) : Matrix
n	int	Size.
Résultat	Matrix

Identity() public static méthode

n x d identity matrix.

public static Identity ( int n, int d ) : Matrix
n	int	rows.
d	int	cols.
Résultat	Matrix

Indices() public static méthode

Enumerates indices in this collection.

public static Indices ( Matrix source, bool>.Func f ) : IEnumerable
source	Matrix	Source for the.
f	bool>.Func	The Func<Vector,bool> to process.
Résultat	IEnumerable

Indices() public static méthode

Enumerates indices in this collection.

public static Indices ( Matrix source, bool>.Func f, VectorType t ) : IEnumerable
source	Matrix	Source for the.
f	bool>.Func	The Func<Vector,bool> to process.
t	VectorType	Row or Column sum.
Résultat	IEnumerable

Insert() public méthode

Returns a new Matrix with the Vector inserted at the specified position

public Insert ( Vector v, int index, VectorType t, bool insertAfter = true ) : Matrix
v	Vector	Vector to insert
index	int	The zero based row / column.
t	VectorType	Vector orientation
insertAfter	bool	Insert after or before the last row / column
Résultat	Matrix

Inverse() public méthode

Creates an inverse of the current matrix

public Inverse ( ) : Matrix
Résultat	Matrix

LU() public static méthode

NOT IMPLEMENTED!

Thrown when the requested operation is invalid.

public static LU ( Matrix A ) : Tuple
A	Matrix	.
Résultat	Tuple

Load() public static méthode

Loads the given stream.

Thrown when the requested file is not present.

public static Load ( string file ) : Matrix
file	string	The file to load.
Résultat	Matrix

Matrix() public méthode

Create new matrix with prepopulated vals.

public Matrix ( double m ) : System
m	double	initial matrix.
Résultat	System

Matrix() public méthode

Create matrix n x n matrix.

public Matrix ( int n ) : System
n	int	size.
Résultat	System

Matrix() public méthode

Create new n x d matrix.

public Matrix ( int n, int d ) : System
n	int	rows.
d	int	cols.
Résultat	System

Max() public static méthode

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

public static Max ( Matrix source, VectorType t = VectorType.Col ) : Vector
source	Matrix
t	VectorType	Use column or row (default: Col)
Résultat	Vector

Max() public static méthode

Determines the maximum of the given parameters.

public static Max ( Matrix source ) : double
source	Matrix	Source for the.
Résultat	double

Mean() public static méthode

Determines the mean of the given parameters.

public static Mean ( Matrix source, VectorType t ) : Vector
source	Matrix	Source for the.
t	VectorType	Row or Column sum.
Résultat	Vector

Median() public static méthode

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

public static Median ( Matrix source, VectorType t = VectorType.Col ) : Vector
source	Matrix	Matrix.
t	VectorType	VectorType.
Résultat	Vector

Min() public static méthode

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

public static Min ( Matrix source, VectorType t = VectorType.Col ) : Vector
source	Matrix
t	VectorType	Use column or row (default: Col)
Résultat	Vector

Min() public static méthode

Determines the minimum of the given parameters.

public static Min ( Matrix source ) : double
source	Matrix	Source for the.
Résultat	double

Norm() public static méthode

Standard Matrix Norm.

public static Norm ( Matrix A, double p ) : double
A	Matrix	Input Matrix.
p	double	The double to process.
Résultat	double

NormRand() public static méthode

Normalise random.

Thrown when the requested operation is invalid.

public static NormRand ( Vector means, Vector stdDev, int n ) : Matrix
means	Vector	The means.
stdDev	Vector	The standard development.
n	int	Size.
Résultat	Matrix

NormRand() public static méthode

Normalise random.

public static NormRand ( int n, double min ) : Matrix
n	int	Size.
min	double	(Optional) the minimum.
Résultat	Matrix

NormRand() public static méthode

Normalise random.

public static NormRand ( int n, int d, double min ) : Matrix
n	int	Size.
d	int	cols.
min	double	(Optional) the minimum.
Résultat	Matrix

Normalize() public méthode

In place normalization. WARNING: WILL UPDATE MATRIX!

public Normalize ( VectorType t ) : void
t	VectorType	.
Résultat	void

Parse() public static méthode

Parses a string containing MATLAB style Matrix syntax, i.e. "[[1, 2, 3]; [3, 4, 5]]"

public static Parse ( string text ) : Matrix
text	string	Input string to parse.
Résultat	Matrix

Pivot() public static méthode

Pivots the given m.

Thrown when the requested operation is invalid.

public static Pivot ( Matrix M ) : Matrix
M	Matrix	The Matrix to process.
Résultat	Matrix

QR() public static méthode

Modified Gram-Schmidt QR Factorization.

public static QR ( Matrix A ) : Matrix>.Tuple
A	Matrix	Matrix A.
Résultat	Matrix>.Tuple

Rand() public static méthode

Generate a matrix n x d with numbers 0 less than x less than 1 drawn uniformly at random.

public static Rand ( int n, double min ) : Matrix
n	int	rows.
min	double	(Optional) the minimum.
Résultat	Matrix

Rand() public static méthode

Generate a matrix n x d with numbers 0 less than x less than 1 drawn uniformly at random.

public static Rand ( int n, int d, double min ) : Matrix
n	int	rows.
d	int	cols.
min	double	(Optional) the minimum.
Résultat	Matrix

Remove() public méthode

Removes this object.

public Remove ( int index, VectorType t ) : Matrix
index	int	Zero-based index of the.
t	VectorType	.
Résultat	Matrix

Reshape() public static méthode

Reshapes the supplied matrix into a new matrix shape.

public static Reshape ( Matrix m, int rows, int cols ) : Matrix
m	Matrix	Matrix to reshape.
rows	int	Number of rows of the new matrix.
cols	int	Number of columns of the new matrix.
Résultat	Matrix

Reshape() public static méthode

Reshapes the supplied Vector into a Matrix form.

public static Reshape ( Vector v, int dimension, VectorType dimensionType = VectorType.Col, VectorType byVector = VectorType.Row ) : Matrix
v	Vector	Source vector to act on.
dimension	int	Length of the specified dimension.
dimensionType	VectorType	Dimension type to use for creating a by n matrix.
byVector	VectorType	Direction to process, i.e. Row = Fill Down then Right, or Col = Fill Right then Down
Résultat	Matrix

Reshape() public static méthode

Reshapes the supplied Vector into a Matrix form.

public static Reshape ( Vector v, int rows, int columns, VectorType byVector = VectorType.Row ) : Matrix
v	Vector	Vector to reshape.
rows	int	Height of the matrix to return
columns	int	Width of the matrix to return
byVector	VectorType	Direction to process, i.e. Row = Fill Down then Right, or Col = Fill Right then Down
Résultat	Matrix

Reverse() public static méthode

Enumerates reverse in this collection.

public static Reverse ( Matrix source, VectorType t = VectorType.Row ) : IEnumerable
source	Matrix	Source for the.
t	VectorType	(Optional) Row or Column sum.
Résultat	IEnumerable

Round() public static méthode

Matrix Roundoff.

public static Round ( Matrix m, int decimals ) : Matrix
m	Matrix	Input Matrix.
decimals	int	(Optional) Max number of decimals (default 0 - integral members)
Résultat	Matrix

Row() public méthode

Rows.

public Row ( int i ) : Vector
i	int	Zero-based index of the.
Résultat	Vector

SVD() public static méthode

Singular Value Decomposition.

Thrown when the requested operation is unimplemented.

public static SVD ( Matrix A ) : Tuple
A	Matrix	Input Matrix.
Résultat	Tuple

Save() public méthode

Save matrix to file

public Save ( string file ) : void
file	string	file to save
Résultat	void

Slice() public static méthode

Slices.

public static Slice ( Matrix m, IEnumerable indices ) : Matrix
m	Matrix	Input Matrix.
indices	IEnumerable	The indices.
Résultat	Matrix

Slice() public static méthode

Slices.

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

Sort() public static méthode

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

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

Sort() public static méthode

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

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

Stack() public static méthode

Stack a set of vectors into a matrix.

public static Stack ( ) : Matrix
Résultat	Matrix

Stack() public static méthode

Stack a set of vectors into a matrix.

Thrown when the requested operation is invalid.

public static Stack ( Matrix m, Matrix t ) : Matrix
m	Matrix	Input Matrix.
t	Matrix	Row or Column sum.
Résultat	Matrix

Stats() public static méthode

Statistics.

public static Stats ( Matrix x, VectorType t = VectorType.Row ) : Matrix[]
x	Matrix	Matrix x.
t	VectorType	(Optional) Row or Column sum.
Résultat	Matrix[]

StdDev() public static méthode

Computes the standard deviation of the given matrix

public static StdDev ( Matrix source, VectorType t = VectorType.Col ) : Vector
source	Matrix
t	VectorType	Use column or row (default: Col)
Résultat	Vector

Sum() public static méthode

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

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

Sum() public static méthode

Computes the sum of every element of the matrix.

public static Sum ( Matrix m ) : double
m	Matrix	Input Matrix.
Résultat	double

Sum() public static méthode

Computes the sum of every element of the matrix.

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

Swap() public méthode

Swaps.

public Swap ( int from, int to, VectorType t ) : void
from	int	Source for the.
to	int	to.
t	VectorType	.
Résultat	void

SwapCol() public méthode

Swap col.

public SwapCol ( int from, int to ) : void
from	int	Source for the.
to	int	to.
Résultat	void

SwapRow() public méthode

Swap row.

public SwapRow ( int from, int to ) : void
from	int	Source for the.
to	int	to.
Résultat	void

ToString() public méthode

Returns a string that represents the current object.

public ToString ( ) : string
Résultat	string

ToVector() public méthode

Converts this object to a vector.

Thrown when the requested operation is invalid.

public ToVector ( ) : Vector
Résultat	Vector

Trace() public static méthode

Computes the trace of a matrix.

public static Trace ( Matrix m ) : double
m	Matrix	Input Matrix.
Résultat	double

Transpose() public méthode

Deep copy transpose.

public Transpose ( ) : Matrix
Résultat	Matrix

Unshape() public static méthode

Unshapes the given Matrix into a Vector form along the dimensionType axis.

Reads from the source Matrix and stacks from right to left when dimensionType equals 'Col' otherwise uses a bottom up approach.

public static Unshape ( Matrix m, VectorType dimensionType = VectorType.Col ) : Vector
m	Matrix	The Matrix to act on.
dimensionType	VectorType	Type of the dimension to use when unrolling the Matrix.
Résultat	Vector

VStack() public static méthode

Stacks.

public static VStack ( ) : Matrix
Résultat	Matrix

VStack() public static méthode

Stacks.

Thrown when the requested operation is invalid.

public static VStack ( Matrix m, Matrix t ) : Matrix
m	Matrix	Input Matrix.
t	Matrix	Row or Column sum.
Résultat	Matrix

Zeros() public static méthode

Initial Zero Matrix (n by n)

public static Zeros ( int n ) : Matrix
n	int	Size.
Résultat	Matrix

Zeros() public static méthode

Initial zero matrix.

public static Zeros ( int n, int d ) : Matrix
n	int	.
d	int	.
Résultat	Matrix

operator() public static méthode

Returns an array of index (i, j) pairs matching indices that are not equal to the supplied value.

public static operator ( ) : IEnumerable
Résultat	IEnumerable

operator() public static méthode

matrix multiplication.

Thrown when the requested operation is invalid.

public static operator ( ) : Matrix
Résultat	Matrix

operator() public static méthode

Solves Ax = b for x If A is not square or the system is overdetermined, this operation solves the linear least squares A.T * A x = A.T * b.

Thrown when the requested operation is invalid.

public static operator ( ) : Vector
Résultat	Vector

operator() public static méthode

Inequality operator.

public static operator ( ) : bool
Résultat	bool

this() public méthode

Indexer to get items within this collection using array index syntax.

public this ( bool>.Func f, VectorType t ) : Matrix
f	bool>.Func	The Func<Vector,bool> to process.
t	VectorType	The VectorType to process.
Résultat	Matrix

this() public méthode

Returns row vector specified at index i.

public this ( int i ) : Vector
i	int	row index.
Résultat	Vector

this() public méthode

returns col/row vector at index j.

public this ( int i, VectorType t ) : Vector
i	int	Col/Row.
t	VectorType	Row or Column.
Résultat	Vector

this() public méthode

Indexer to set items within this collection using array index syntax.

public this ( bool>.Func f ) : double
f	bool>.Func	The Func<double,bool> to process.
Résultat	double

this() public méthode

Indexer to set items within this collection using an n x 2 array of indices to set.

public this ( IEnumerable slice ) : double
slice	IEnumerable	An n x 2 array of indices to set.
Résultat	double

this() public méthode

Accessor.

public this ( int i, int j ) : double
i	int	Row.
j	int	Column.
Résultat	double