Utilities to work with matrices More...

Static Public Member Functions
static float	ColumnAverage (this Matrix< float > matrix, int col)
	Compute the average value of the entries in a column of a matrix More...

static void	ColumnInitNormal (this Matrix< float > matrix, int column, double mean, double stddev)
	Initializes one column of a float matrix with normal distributed (Gaussian) noise More...

static float	FrobeniusNorm (this Matrix< float > matrix)
	Compute the Frobenius norm (square root of the sum of squared entries) of a matrix More...

static void	Inc (this Matrix< float > matrix, int i, int j, double v)
	Increments the specified matrix element by a double value More...

static void	Inc (this Matrix< float > matrix1, Matrix< float > matrix2)
	Increment the elements in one matrix by the ones in another More...

static void	Inc (this Matrix< int > matrix, int i, int j)
	Increments the specified matrix element by 1 More...

static void	Inc (this Matrix< float > matrix, float v)
	Increment the seach matrix element by a given value More...

static void	InitNormal (this Matrix< float > matrix, double mean, double stddev)
	Initializes a float matrix with normal distributed (Gaussian) noise More...

static int	Max (this Matrix< int > m)
	return the maximum value contained in a matrix More...

static float	Max (this Matrix< float > m)
	return the maximum value contained in a matrix More...

static void	Multiply (this Matrix< float > matrix, float f)
	Multiply all entries of a matrix with a scalar More...

static void	MultiplyColumn (this Matrix< float > matrix, int j, float scalar)
	Multiplies one column of a matrix with a scalar More...

static IList< float >	RowDifference (Matrix< float > matrix1, int i, Matrix< float > matrix2, int j)
	Compute the difference vector between two rows of two matrices More...

static void	RowInitNormal (this Matrix< float > matrix, int row, double mean, double stddev)
	Initializes one row of a float matrix with normal distributed (Gaussian) noise More...

static float	RowScalarProduct (this Matrix< float > matrix, int i, IList< float > vector)
	Compute the scalar product between a vector and a row of the matrix More...

static double	RowScalarProduct (this Matrix< float > matrix, int i, IList< double > vector)
	Compute the scalar product between a vector and a row of the matrix More...

static float	RowScalarProduct (Matrix< float > matrix1, int i, Matrix< float > matrix2, int j)
	Compute the scalar product between two rows of two matrices More...

static double	RowScalarProductWithRowDifference (Matrix< float > matrix1, int i, Matrix< float > matrix2, int j, Matrix< float > matrix3, int k)
	Compute the scalar product of a matrix row with the difference vector of two other matrix rows More...

static IList< float >	SumOfRows (this Matrix< float > matrix, ICollection< int > row_ids)
	Sum up a given number of rows of a matrix More...

Detailed Description

Utilities to work with matrices

Member Function Documentation

static float ColumnAverage	(	this Matrix< float >	matrix,
		int	col
	)

inlinestatic

Compute the average value of the entries in a column of a matrix

Parameters

matrix	the matrix
col	the column ID

Returns: the average

static void ColumnInitNormal	(	this Matrix< float >	matrix,
		int	column,
		double	mean,
		double	stddev
	)

inlinestatic

Initializes one column of a float matrix with normal distributed (Gaussian) noise

Parameters

matrix	the matrix to initialize
mean	the mean of the normal distribution drawn from
stddev	the standard deviation of the normal distribution
column	the column to be initialized

static float FrobeniusNorm ( this Matrix< float > matrix )

inlinestatic

Compute the Frobenius norm (square root of the sum of squared entries) of a matrix

See http://en.wikipedia.org/wiki/Matrix_norm

Parameters

matrix the matrix

Returns: the Frobenius norm of the matrix

static void Inc	(	this Matrix< float >	matrix,
		int	i,
		int	j,
		double	v
	)

inlinestatic

Increments the specified matrix element by a double value

Parameters

matrix	the matrix
i	the row
j	the column
v	the value

static void Inc	(	this Matrix< float >	matrix1,
		Matrix< float >	matrix2
	)

inlinestatic

Increment the elements in one matrix by the ones in another

Parameters

matrix1	the matrix to be incremented
matrix2	the other matrix

static void Inc	(	this Matrix< int >	matrix,
		int	i,
		int	j
	)

inlinestatic

Increments the specified matrix element by 1

Parameters

matrix	the matrix
i	the row
j	the column

static void Inc	(	this Matrix< float >	matrix,
		float	v
	)

inlinestatic

Increment the seach matrix element by a given value

Parameters

matrix	the matrix
v	the value to increment with

static void InitNormal	(	this Matrix< float >	matrix,
		double	mean,
		double	stddev
	)

inlinestatic

Initializes a float matrix with normal distributed (Gaussian) noise

Parameters

matrix	the matrix to initialize
mean	the mean of the normal distribution drawn from
stddev	the standard deviation of the normal distribution

static int Max ( this Matrix< int > m )

inlinestatic

return the maximum value contained in a matrix

Parameters

m	the matrix

static float Max ( this Matrix< float > m )

inlinestatic

return the maximum value contained in a matrix

Parameters

m	the matrix

static void Multiply	(	this Matrix< float >	matrix,
		float	f
	)

inlinestatic

Multiply all entries of a matrix with a scalar

Parameters

matrix	the matrix
f	the number to multiply with

static void MultiplyColumn	(	this Matrix< float >	matrix,
		int	j,
		float	scalar
	)

inlinestatic

Multiplies one column of a matrix with a scalar

Parameters

matrix	the matrix
j	the column ID
scalar	the scalar value to multiply with

static IList<float> RowDifference	(	Matrix< float >	matrix1,
		int	i,
		Matrix< float >	matrix2,
		int	j
	)

inlinestatic

Compute the difference vector between two rows of two matrices

Parameters

matrix1	the first matrix
i	the first row ID
matrix2	the second matrix
j	the second row ID

Returns: the difference vector of row i of matrix1 and row j of matrix2

static void RowInitNormal	(	this Matrix< float >	matrix,
		int	row,
		double	mean,
		double	stddev
	)

inlinestatic

Initializes one row of a float matrix with normal distributed (Gaussian) noise

Parameters

matrix	the matrix to initialize
row	the row to be initialized
mean	the mean of the normal distribution drawn from
stddev	the standard deviation of the normal distribution

static float RowScalarProduct	(	this Matrix< float >	matrix,
		int	i,
		IList< float >	vector
	)

inlinestatic

Compute the scalar product between a vector and a row of the matrix

Parameters

matrix	the matrix
i	the row ID
vector	the numeric vector

Returns: the scalar product of row i and the vector

static double RowScalarProduct	(	this Matrix< float >	matrix,
		int	i,
		IList< double >	vector
	)

inlinestatic

Compute the scalar product between a vector and a row of the matrix

Parameters

matrix	the matrix
i	the row ID
vector	the numeric vector

Returns: the scalar product of row i and the vector

static float RowScalarProduct	(	Matrix< float >	matrix1,
		int	i,
		Matrix< float >	matrix2,
		int	j
	)

inlinestatic

Compute the scalar product between two rows of two matrices

Parameters

matrix1	the first matrix
i	the first row ID
matrix2	the second matrix
j	the second row ID

Returns: the scalar product of row i of matrix1 and row j of matrix2

static double RowScalarProductWithRowDifference	(	Matrix< float >	matrix1,
		int	i,
		Matrix< float >	matrix2,
		int	j,
		Matrix< float >	matrix3,
		int	k
	)

inlinestatic

Compute the scalar product of a matrix row with the difference vector of two other matrix rows

Parameters

matrix1	the first matrix
i	the first row ID
matrix2	the second matrix
j	the second row ID
matrix3	the third matrix
k	the third row ID

///

Returns: see summary

static IList<float> SumOfRows	(	this Matrix< float >	matrix,
		ICollection< int >	row_ids
	)

inlinestatic

Sum up a given number of rows of a matrix

Returns: The vector representing the sum of the given rows

Parameters

matrix	the matrix
row_ids	a collection of row IDs

The documentation for this class was generated from the following file:

DataType/MatrixExtensions.cs

Static Public Member Functions

Detailed Description

Member Function Documentation