Utilities to work with matrices. More...

Static Public Member Functions
static double	ColumnAverage (this Matrix< double > matrix, int col)
	Compute the average value of the entries in a column of a matrix.
static float	ColumnAverage (this Matrix< float > matrix, int col)
	Compute the average value of the entries in a column of a matrix.
static void	ColumnInitNormal (this Matrix< double > matrix, int column, double mean, double stddev)
	Initializes one column of a double matrix with normal distributed (Gaussian) noise.
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.
static double	FrobeniusNorm (this Matrix< double > matrix)
	Compute the Frobenius norm (square root of the sum of squared entries) of a matrix.
static float	FrobeniusNorm (this Matrix< float > matrix)
	Compute the Frobenius norm (square root of the sum of squared entries) of a matrix.
static void	Inc (this Matrix< double > matrix, int i, int j, double v)
	Increments the specified matrix element by a double value.
static void	Inc (this Matrix< float > matrix, int i, int j, double v)
	Increments the specified matrix element by a double value.
static void	Inc (this Matrix< double > matrix1, Matrix< double > matrix2)
	Increment the elements in one matrix by the ones in another.
static void	Inc (this Matrix< float > matrix1, Matrix< float > matrix2)
	Increment the elements in one matrix by the ones in another.
static void	Inc (this Matrix< int > matrix, int i, int j)
	Increments the specified matrix element by 1.
static void	Inc (this Matrix< double > matrix, double d)
	Increment all entries of a matrix with a scalar.
static void	InitNormal (this Matrix< double > matrix, double mean, double stddev)
	Initializes a double matrix with normal distributed (Gaussian) noise.
static void	InitNormal (this Matrix< float > matrix, double mean, double stddev)
	Initializes a float matrix with normal distributed (Gaussian) noise.
static int	Max (this Matrix< int > m)
	return the maximum value contained in a matrix
static double	Max (this Matrix< double > m)
	return the maximum value contained in a matrix
static float	Max (this Matrix< float > m)
	return the maximum value contained in a matrix
static void	Multiply (this Matrix< double > matrix, double d)
	Multiply all entries of a matrix with a scalar.
static void	Multiply (this Matrix< float > matrix, float f)
	Multiply all entries of a matrix with a scalar.
static void	MultiplyColumn (this Matrix< float > matrix, int j, float scalar)
	Multiplies one column of a matrix with a scalar.
static double	RowAverage (this Matrix< double > matrix, int row)
	Compute the average value of the entries in a row of a matrix.
static IList< double >	RowDifference (Matrix< double > matrix1, int i, Matrix< double > matrix2, int j)
	Compute the difference vector between two rows of two matrices.
static IList< float >	RowDifference (Matrix< float > matrix1, int i, Matrix< float > matrix2, int j)
	Compute the difference vector between two rows of two matrices.
static void	RowInitNormal (this Matrix< double > matrix, int row, double mean, double stddev)
	Initializes one row of a double matrix with normal distributed (Gaussian) noise.
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.
static double	RowScalarProduct (this Matrix< double > matrix, int i, IList< double > vector)
	Compute the scalar product between a vector and a row of the matrix.
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.
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.
static double	RowScalarProduct (this Matrix< double > matrix1, int i, Matrix< double > matrix2, int j)
	Compute the scalar product between two rows of two matrices.
static float	RowScalarProduct (Matrix< float > matrix1, int i, Matrix< float > matrix2, int j)
	Compute the scalar product between two rows of two matrices.
static double	RowScalarProductWithRowDifference (Matrix< double > matrix1, int i, Matrix< double > matrix2, int j, Matrix< double > matrix3, int k)
	Compute the scalar product of a matrix row with the difference vector of two other matrix rows.
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.
static IList< float >	SumOfRows (this Matrix< float > matrix, ICollection< int > row_ids)
	Sum up a given number of rows of a matrix.

Detailed Description

Utilities to work with matrices.

Member Function Documentation

static double ColumnAverage	(	this Matrix< double >	matrix,
		int	col
	)		`[inline, static]`

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 float ColumnAverage	(	this Matrix< float >	matrix,
		int	col
	)		`[inline, static]`

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< double >	matrix,
		int	column,
		double	mean,
		double	stddev
	)		`[inline, static]`

Initializes one column of a double 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 void ColumnInitNormal	(	this Matrix< float >	matrix,
		int	column,
		double	mean,
		double	stddev
	)		`[inline, static]`

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 double FrobeniusNorm ( this Matrix< double > matrix ) [inline, static]

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 float FrobeniusNorm ( this Matrix< float > matrix ) [inline, static]

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< double >	matrix,
		int	i,
		int	j,
		double	v
	)		`[inline, static]`

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 >	matrix,
		int	i,
		int	j,
		double	v
	)		`[inline, static]`

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< double >	matrix1,
		Matrix< double >	matrix2
	)		`[inline, static]`

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< float >	matrix1,
		Matrix< float >	matrix2
	)		`[inline, static]`

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
	)		`[inline, static]`

Increments the specified matrix element by 1.

Parameters:

matrix	the matrix
i	the row
j	the column

static void Inc	(	this Matrix< double >	matrix,
		double	d
	)		`[inline, static]`

Increment all entries of a matrix with a scalar.

Parameters:

matrix	the matrix
d	the number to increment with

static void InitNormal	(	this Matrix< double >	matrix,
		double	mean,
		double	stddev
	)		`[inline, static]`

Initializes a double 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 void InitNormal	(	this Matrix< float >	matrix,
		double	mean,
		double	stddev
	)		`[inline, static]`

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 ) [inline, static]

return the maximum value contained in a matrix

Parameters:

m	the matrix

static double Max ( this Matrix< double > m ) [inline, static]

return the maximum value contained in a matrix

Parameters:

m	the matrix

static float Max ( this Matrix< float > m ) [inline, static]

return the maximum value contained in a matrix

Parameters:

m	the matrix

static void Multiply	(	this Matrix< double >	matrix,
		double	d
	)		`[inline, static]`

Multiply all entries of a matrix with a scalar.

Parameters:

matrix	the matrix
d	the number to multiply with

static void Multiply	(	this Matrix< float >	matrix,
		float	f
	)		`[inline, static]`

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
	)		`[inline, static]`

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 double RowAverage	(	this Matrix< double >	matrix,
		int	row
	)		`[inline, static]`

Compute the average value of the entries in a row of a matrix.

Parameters:

matrix	the matrix
row	the row ID

Returns:: the average

static IList<double> RowDifference	(	Matrix< double >	matrix1,
		int	i,
		Matrix< double >	matrix2,
		int	j
	)		`[inline, static]`

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 IList<float> RowDifference	(	Matrix< float >	matrix1,
		int	i,
		Matrix< float >	matrix2,
		int	j
	)		`[inline, static]`

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< double >	matrix,
		int	row,
		double	mean,
		double	stddev
	)		`[inline, static]`

Initializes one row of a double 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 void RowInitNormal	(	this Matrix< float >	matrix,
		int	row,
		double	mean,
		double	stddev
	)		`[inline, static]`

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 double RowScalarProduct	(	this Matrix< double >	matrix,
		int	i,
		IList< double >	vector
	)		`[inline, static]`

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	(	this Matrix< float >	matrix,
		int	i,
		IList< float >	vector
	)		`[inline, static]`

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
	)		`[inline, static]`

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< double >	matrix1,
		int	i,
		Matrix< double >	matrix2,
		int	j
	)		`[inline, static]`

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 float RowScalarProduct	(	Matrix< float >	matrix1,
		int	i,
		Matrix< float >	matrix2,
		int	j
	)		`[inline, static]`

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< double >	matrix1,
		int	i,
		Matrix< double >	matrix2,
		int	j,
		Matrix< double >	matrix3,
		int	k
	)		`[inline, static]`

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

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
	)		`[inline, static]`

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