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3.01
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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 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. |
Utilities to work with matrices.
static double ColumnAverage | ( | this Matrix< double > | matrix, |
int | col | ||
) | [inline, static] |
Compute the average value of the entries in a column of a matrix.
matrix | the matrix |
col | the column ID |
static float ColumnAverage | ( | this Matrix< float > | matrix, |
int | col | ||
) | [inline, static] |
Compute the average value of the entries in a column of a matrix.
matrix | the matrix |
col | the column ID |
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.
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.
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
matrix | 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
matrix | 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.
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.
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.
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.
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.
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.
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.
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.
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
m | the matrix |
static double Max | ( | this Matrix< double > | m | ) | [inline, static] |
return the maximum value contained in a matrix
m | the matrix |
static float Max | ( | this Matrix< float > | m | ) | [inline, static] |
return the maximum value contained in a matrix
m | the matrix |
static void Multiply | ( | this Matrix< double > | matrix, |
double | d | ||
) | [inline, static] |
Multiply all entries of a matrix with a scalar.
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.
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.
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.
matrix | the matrix |
row | the row ID |
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.
matrix1 | the first matrix |
i | the first row ID |
matrix2 | the second matrix |
j | the second row ID |
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.
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.
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.
matrix | the matrix |
i | the row ID |
vector | the numeric 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.
matrix | the matrix |
i | the row ID |
vector | the numeric 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.
matrix | the matrix |
i | the row ID |
vector | the numeric 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.
matrix1 | the first matrix |
i | the first row ID |
matrix2 | the second matrix |
j | the second row ID |
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.
matrix1 | the first matrix |
i | the first row ID |
matrix2 | the second matrix |
j | the second row ID |
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.
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 |
///
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.
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 |
///
static IList<float> SumOfRows | ( | this Matrix< float > | matrix, |
ICollection< int > | row_ids | ||
) | [inline, static] |
Sum up a given number of rows of a matrix.
matrix | the matrix |
row_ids | a collection of row IDs |